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23131130310 = 2345412113301
BaseRepresentation
bin10101100010101110…
…010000100111000110
32012201001022011120000
4111202232100213012
5334333032132220
614343140222130
71446132235461
oct254256204706
965631264500
1023131130310
11989aa13622
12459669a946
1322482b2272
1411960a42d8
15905ab3390
hex562b909c6

23131130310 has 160 divisors (see below), whose sum is σ = 64035395424. Its totient is φ = 5987520000.

The previous prime is 23131130303. The next prime is 23131130357. The reversal of 23131130310 is 1303113132.

It is a happy number.

23131130310 is a `hidden beast` number, since 2 + 313 + 11 + 30 + 310 = 666.

It is a super-2 number, since 2×231311303102 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7005660 + ... + 7008960.

Almost surely, 223131130310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23131130310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32017697712).

23131130310 is an abundant number, since it is smaller than the sum of its proper divisors (40904265114).

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

23131130310 is a wasteful number, since it uses less digits than its factorization.

23131130310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 23131130310 its reverse (1303113132), we get a palindrome (24434243442).

The spelling of 23131130310 in words is "twenty-three billion, one hundred thirty-one million, one hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 211 246 270 369 405 410 422 615 633 738 810 1055 1107 1230 1266 1845 1899 2110 2214 3165 3301 3321 3690 3798 5535 5697 6330 6602 6642 8651 9495 9903 11070 11394 16505 16605 17091 17302 18990 19806 25953 28485 29709 33010 33210 34182 43255 49515 51906 56970 59418 77859 85455 86510 89127 99030 129765 135341 148545 155718 170910 178254 233577 259530 267381 270682 297090 389295 406023 445635 467154 534762 676705 696511 700731 778590 812046 891270 1167885 1218069 1336905 1353410 1393022 1401462 2030115 2089533 2335770 2436138 2673810 3482555 3503655 3654207 4060230 4179066 6090345 6268599 6965110 7007310 7308414 10447665 10962621 12180690 12537198 18271035 18805797 20895330 21925242 28556951 31342995 36542070 37611594 54813105 56417391 57113902 62685990 85670853 94028985 109626210 112834782 142784755 171341706 188057970 257012559 282086955 285569510 428354265 514025118 564173910 771037677 856708530 1285062795 1542075354 2313113031 2570125590 3855188385 4626226062 7710376770 11565565155 23131130310