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31330130222232 = 23332923833209861
BaseRepresentation
bin1110001111110100111010…
…10010000101110010011000
311002221010112122101002102000
413013322131102011302120
513101303101314102412
6150344510234041000
76412345555624242
oct707723522056230
9132833478332360
1031330130222232
119a8a040810156
12361bba5279160
13146355989444a
147a455a39b092
15394e7de9c4dc
hex1c7e9d485c98

31330130222232 has 128 divisors (see below), whose sum is σ = 90033316344000. Its totient is φ = 10082789176320.

The previous prime is 31330130222219. The next prime is 31330130222257. The reversal of 31330130222232 is 23222203103313.

31330130222232 is a `hidden beast` number, since 3 + 1 + 3 + 301 + 302 + 2 + 22 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31330130222196 and 31330130222205.

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 31 ways as a sum of consecutive naturals, for example, 149184982 + ... + 149394842.

Almost surely, 231330130222232 is an apocalyptic number.

It is an amenable number.

31330130222232 is an abundant number, since it is smaller than the sum of its proper divisors (58703186121768).

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

31330130222232 is a wasteful number, since it uses less digits than its factorization.

31330130222232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233738 (or 233728 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 31330130222232 its reverse (23222203103313), we get a palindrome (54552333325545).

The spelling of 31330130222232 in words is "thirty-one trillion, three hundred thirty billion, one hundred thirty million, two hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 23833 47666 71499 95332 142998 190664 209861 214497 285996 419722 428994 571992 629583 643491 691157 839444 857988 1259166 1286982 1382314 1678888 1715976 1888749 2073471 2518332 2573964 2764628 3777498 4146942 5036664 5147928 5529256 5666247 6085969 6220413 7554996 8293884 11332494 12171938 12440826 15109992 16587768 18257907 18661239 22664988 24343876 24881652 36515814 37322478 45329976 48687752 49763304 54773721 73031628 74644956 109547442 146063256 149289912 164321163 219094884 328642326 438189768 657284652 1314569304 5001617213 10003234426 15004851639 20006468852 30009703278 40012937704 45014554917 60019406556 90029109834 120038813112 135043664751 145046899177 180058219668 270087329502 290093798354 360116439336 435140697531 540174659004 580187596708 870281395062 1080349318008 1160375193416 1305422092593 1740562790124 2610844185186 3481125580248 3916266277779 5221688370372 7832532555558 10443376740744 15665065111116 31330130222232