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31212130331322 = 2345938910138287
BaseRepresentation
bin1110001100011001000111…
…11100001110101010111010
311002111211222000202112210000
413012030203330032222322
513042334420331100242
6150214353230533430
76401000454246543
oct706144374165272
9132454860675700
1031212130331322
119a43a98967656
123601153367276
1314553a2b91ca5
1479c96493b4ca
15391d748cba4c
hex1c6323f0eaba

31212130331322 has 160 divisors (see below), whose sum is σ = 71385528614400. Its totient is φ = 10190111133312.

The previous prime is 31212130331321. The next prime is 31212130331323. The reversal of 31212130331322 is 22313303121213.

31212130331322 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 2 + 1 + 3 + 0 + 331 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (31212130331321) and next prime (31212130331323).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31212130331321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3766392663 + ... + 3766400949.

It is an arithmetic number, because the mean of its divisors is an integer number (446159553840).

Almost surely, 231212130331322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31212130331322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35692764307200).

31212130331322 is an abundant number, since it is smaller than the sum of its proper divisors (40173398283078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31212130331322 is a wasteful number, since it uses less digits than its factorization.

31212130331322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9762 (or 9753 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 31212130331322 its reverse (22313303121213), we get a palindrome (53525433452535).

The spelling of 31212130331322 in words is "thirty-one trillion, two hundred twelve billion, one hundred thirty million, three hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 354 389 531 778 1013 1062 1167 1593 2026 2334 3039 3186 3501 4779 6078 7002 8287 9117 9558 10503 16574 18234 21006 22951 24861 27351 31509 45902 49722 54702 59767 63018 68853 74583 82053 119534 137706 149166 164106 179301 206559 223749 358602 394057 413118 447498 488933 537903 619677 671247 788114 977866 1075806 1182171 1239354 1342494 1466799 1613709 1859031 2364342 2933598 3223643 3227418 3546513 3718062 4400397 4841127 6447286 7093026 8394731 8800794 9670929 9682254 10639539 13201191 16789462 19341858 21279078 23249363 25184193 26402382 29012787 31918617 39603573 46498726 50368386 58025574 63837234 69748089 75552579 79207146 87038361 139496178 151105158 174076722 190194937 209244267 226657737 261115083 380389874 418488534 453315474 495289129 522230166 570584811 627732801 679973211 990578258 1141169622 1255465602 1359946422 1485867387 1711754433 1883198403 2971734774 3265550359 3423508866 3766396806 4457602161 5135263299 6531100718 8915204322 9796651077 10270526598 13372806483 15405789897 19593302154 26745612966 29389953231 30811579794 40118419449 58779906462 80236838898 88169859693 176339719386 192667471181 264509579079 385334942362 529019158158 578002413543 1156004827086 1734007240629 3468014481258 5202021721887 10404043443774 15606065165661 31212130331322