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1311022310232 = 2331034198871427
BaseRepresentation
bin10011000100111111000…
…001001110001101011000
311122022222101202211100110
4103010333001032031120
5132434433202411412
62442135250004320
7163501232524545
oct23047701161530
94568871684313
101311022310232
11466001a08a98
121921028766a0
13968238338bb
144764d3c5bcc
152418191ed3c
hex1313f04e358

1311022310232 has 128 divisors (see below), whose sum is σ = 3323342131200. Its totient is φ = 430942858368.

The previous prime is 1311022310219. The next prime is 1311022310249. The reversal of 1311022310232 is 2320132201131.

It is a junction number, because it is equal to n+sod(n) for n = 1311022310199 and 1311022310208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918725503 + ... + 918726929.

It is an arithmetic number, because the mean of its divisors is an integer number (25963610400).

Almost surely, 21311022310232 is an apocalyptic number.

1311022310232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311022310232 is an abundant number, since it is smaller than the sum of its proper divisors (2012319820968).

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

1311022310232 is a wasteful number, since it uses less digits than its factorization.

1311022310232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2841 counting only the distinct ones).

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

Adding to 1311022310232 its reverse (2320132201131), we get a palindrome (3631154511363).

The spelling of 1311022310232 in words is "one trillion, three hundred eleven billion, twenty-two million, three hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 103 206 309 412 419 618 824 838 887 1236 1257 1427 1676 1774 2472 2514 2661 2854 3352 3548 4281 5028 5322 5708 7096 8562 10056 10644 11416 17124 21288 34248 43157 86314 91361 129471 146981 172628 182722 258942 274083 293962 345256 365444 371653 440943 517884 548166 587924 597913 730888 743306 881886 1035768 1096332 1114959 1175848 1195826 1265749 1486612 1763772 1793739 2192664 2229918 2391652 2531498 2973224 3527544 3587478 3797247 4459836 4783304 5062996 7174956 7594494 8919672 10125992 14349912 15188988 30377976 38280259 61585039 76560518 114840777 123170078 130372147 153121036 184755117 229681554 246340156 260744294 306242072 369510234 391116441 459363108 492680312 521488588 530348831 739020468 782232882 918726216 1042977176 1060697662 1478040936 1564465764 1591046493 2121395324 3128931528 3182092986 4242790648 6364185972 12728371944 54625929593 109251859186 163877788779 218503718372 327755577558 437007436744 655511155116 1311022310232