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1012323266244 = 22322913914094951
BaseRepresentation
bin11101011101100110010…
…10110010111011000100
310120202222112211012202100
432232303022302323010
5113041214224004434
62053015504512100
7133065212533653
oct16566312627304
93522875735670
101012323266244
11360362102254
1214424101b630
13746003b6164
1436dd4d7319a
151b4ed58e699
hexebb32b2ec4

1012323266244 has 144 divisors (see below), whose sum is σ = 2668642704000. Its totient is φ = 323166412800.

The previous prime is 1012323266239. The next prime is 1012323266257. The reversal of 1012323266244 is 4426623232101.

1012323266244 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 2 + 3 + 26 + 624 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1012323266199 and 1012323266208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204465969 + ... + 204470919.

It is an arithmetic number, because the mean of its divisors is an integer number (18532241000).

Almost surely, 21012323266244 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 1012323266244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334321352000).

1012323266244 is an abundant number, since it is smaller than the sum of its proper divisors (1656319437756).

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

1012323266244 is a wasteful number, since it uses less digits than its factorization.

1012323266244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6538 (or 6533 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 1012323266244 its reverse (4426623232101), we get a palindrome (5438946498345).

The spelling of 1012323266244 in words is "one trillion, twelve billion, three hundred twenty-three million, two hundred sixty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 139 174 261 278 348 417 522 556 834 1044 1251 1409 1668 2502 2818 4031 4227 4951 5004 5636 8062 8454 9902 12093 12681 14853 16124 16908 19804 24186 25362 29706 36279 40861 44559 48372 50724 59412 72558 81722 89118 122583 143579 145116 163444 178236 195851 245166 287158 367749 391702 430737 490332 574316 587553 688189 735498 783404 861474 1175106 1292211 1376378 1470996 1722948 1762659 2064567 2350212 2584422 2752756 3525318 4129134 5168844 5679679 6193701 6975959 7050636 8258268 11359358 12387402 13951918 17039037 19957481 20927877 22718716 24774804 27903836 34078074 39914962 41855754 51117111 59872443 62783631 68156148 79829924 83711508 102234222 119744886 125567262 179617329 202302811 204468444 239489772 251134524 359234658 404605622 606908433 718469316 809211244 969658301 1213816866 1820725299 1939316602 2427633732 2908974903 3641450598 3878633204 5817949806 7282901196 8726924709 11635899612 17453849418 28120090729 34907698836 56240181458 84360272187 112480362916 168720544374 253080816561 337441088748 506161633122 1012323266244