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31101131130030 = 232513231155746233
BaseRepresentation
bin1110001001001010010111…
…10111111000010010101110
311002010020110022011212220200
413010211023313320102232
513034030104032130110
6150051355024454330
76356661010513023
oct704451367702256
9132106408155820
1031101131130030
119a00a08799855
1235a3735a7a3a6
131447a93677620
14797434b7754a
1538e029c0e6c0
hex1c494bdf84ae

31101131130030 has 96 divisors (see below), whose sum is σ = 90869391902016. Its totient is φ = 7322808125952.

The previous prime is 31101131129993. The next prime is 31101131130031. The reversal of 31101131130030 is 3003113110113.

31101131130030 is a `hidden beast` number, since 3 + 1 + 10 + 11 + 311 + 300 + 30 = 666.

It is a super-2 number, since 2×311011311300302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31101131129985 and 31101131130012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31101131130031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 577846207 + ... + 577900026.

It is an arithmetic number, because the mean of its divisors is an integer number (946556165646).

Almost surely, 231101131130030 is an apocalyptic number.

31101131130030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31101131130030 is an abundant number, since it is smaller than the sum of its proper divisors (59768260771986).

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

31101131130030 is a wasteful number, since it uses less digits than its factorization.

31101131130030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155746282 (or 1155746279 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 31101131130030 its reverse (3003113110113), we get a palindrome (34104244240143).

It can be divided in two parts, 31101 and 131130030, that added together give a palindrome (131161131).

The spelling of 31101131130030 in words is "thirty-one trillion, one hundred one billion, one hundred thirty-one million, one hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 30 39 45 46 65 69 78 90 115 117 130 138 195 207 230 234 299 345 390 414 585 598 690 897 1035 1170 1495 1794 2070 2691 2990 4485 5382 8970 13455 26910 1155746233 2311492466 3467238699 5778731165 6934477398 10401716097 11557462330 15024701029 17336193495 20803432194 26582163359 30049402058 34672386990 45074103087 52008580485 53164326718 75123505145 79746490077 90148206174 104017160970 132910816795 135222309261 150247010290 159492980154 225370515435 239239470231 265821633590 270444618522 345568123667 398732450385 450741030870 478478940462 676111546305 691136247334 797464900770 1036704371001 1196197351155 1352223092610 1727840618335 2073408742002 2392394702310 3110113113003 3455681236670 5183521855005 6220226226006 10367043710010 15550565565015 31101131130030