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31012202321212 = 22722232397194129
BaseRepresentation
bin1110000110100100101110…
…10011011001010100111100
311001210201220200221022211211
413003102113103121110330
513031100442243234322
6145542450431454204
76350362166224600
oct703222723312474
9131721820838754
1031012202321212
1199772237a6532
12358a457987364
13143c59075a2a8
14792dda239500
1538ba72927b77
hex1c34974d953c

31012202321212 has 144 divisors (see below), whose sum is σ = 63784433664000. Its totient is φ = 13154469866496.

The previous prime is 31012202321129. The next prime is 31012202321267. The reversal of 31012202321212 is 21212320221013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7510824364 + ... + 7510828492.

It is an arithmetic number, because the mean of its divisors is an integer number (442947456000).

Almost surely, 231012202321212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31012202321212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31892216832000).

31012202321212 is an abundant number, since it is smaller than the sum of its proper divisors (32772231342788).

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

31012202321212 is a wasteful number, since it uses less digits than its factorization.

31012202321212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 31012202321212 its reverse (21212320221013), we get a palindrome (52224522542225).

The spelling of 31012202321212 in words is "thirty-one trillion, twelve billion, two hundred two million, three hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 196 223 239 446 478 719 892 956 1438 1561 1673 2876 3122 3346 4129 5033 6244 6692 8258 10066 10927 11711 16516 20132 21854 23422 28903 35231 43708 46844 53297 57806 70462 106594 115612 140924 160337 171841 202321 213188 320674 343682 373079 404642 641348 687364 746158 809284 920767 986831 1122359 1202887 1492316 1841534 1973662 2244718 2405774 2611553 2968751 3683068 3947324 4489436 4811548 5223106 5937502 6445369 6907817 7856513 8420209 10446212 11875004 12890738 13815634 15713026 16840418 20781257 25781476 27631268 31426052 33680836 38320543 41562514 45117583 48354719 76641086 83125028 90235166 96709438 145468799 153282172 180470332 193418876 220063313 268243801 290937598 440126626 536487602 581875196 662031473 709531489 880253252 1072975204 1324062946 1419062978 1540443191 1877706607 2648125892 2838125956 3080886382 3755413214 4634220311 4966720423 6161772764 7510826428 9268440622 9933440846 10783102337 18536881244 19866881692 21566204674 32439542177 34767042961 43132409348 64879084354 69534085922 129758168708 139068171844 158225522047 316451044094 632902088188 1107578654329 2215157308658 4430314617316 7753050580303 15506101160606 31012202321212