Search a number
-
+
10220032311312 = 2431994312482451
BaseRepresentation
bin1001010010111000100101…
…1001010100000000010000
31100012000200121211210100210
42110232021121110000100
52314421111232430222
633423003521044120
72103241633211265
oct224561131240020
940160617753323
1010220032311312
1132903228931aa
121190864186640
1359198b756335
1427491b90726c
1512aca6db6d0c
hex94b89654010

10220032311312 has 80 divisors (see below), whose sum is σ = 26595997747200. Its totient is φ = 3381692688000.

The previous prime is 10220032311311. The next prime is 10220032311317. The reversal of 10220032311312 is 21311323002201.

It is a super-2 number, since 2×102200323113122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10220032311311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2875687 + ... + 5358137.

It is an arithmetic number, because the mean of its divisors is an integer number (332449971840).

Almost surely, 210220032311312 is an apocalyptic number.

10220032311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220032311312 is an abundant number, since it is smaller than the sum of its proper divisors (16375965435888).

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

10220032311312 is a wasteful number, since it uses less digits than its factorization.

10220032311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483092 (or 2483086 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10220032311312 its reverse (21311323002201), we get a palindrome (31531355313513).

The spelling of 10220032311312 in words is "ten trillion, two hundred twenty billion, thirty-two million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 199 398 431 597 796 862 1194 1293 1592 1724 2388 2586 3184 3448 4776 5172 6896 9552 10344 20688 85769 171538 257307 343076 514614 686152 1029228 1372304 2058456 2482451 4116912 4964902 7447353 9929804 14894706 19859608 29789412 39719216 59578824 119157648 494007749 988015498 1069936381 1482023247 1976030996 2139872762 2964046494 3209809143 3952061992 4279745524 5928092988 6419618286 7904123984 8559491048 11856185976 12839236572 17118982096 23712371952 25678473144 51356946288 212917339819 425834679638 638752019457 851669359276 1277504038914 1703338718552 2555008077828 3406677437104 5110016155656 10220032311312