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23121131310 = 23252944319997
BaseRepresentation
bin10101100010001000…
…000111011100101110
32012200100111011111200
4111202020013130232
5334323002200220
614342142030330
71445651242044
oct254210073456
965610434450
1023121131310
119895304192
1245932783a6
1322461c0cb4
141194a20394
15904c8a890
hex56220772e

23121131310 has 96 divisors (see below), whose sum is σ = 62331366240. Its totient is φ = 5939291904.

The previous prime is 23121131251. The next prime is 23121131321. The reversal of 23121131310 is 1313112132.

23121131310 is a `hidden beast` number, since 2 + 312 + 11 + 31 + 310 = 666.

It is a super-2 number, since 2×231211313102 (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 47 ways as a sum of consecutive naturals, for example, 1146232 + ... + 1166228.

It is an arithmetic number, because the mean of its divisors is an integer number (649285065).

Almost surely, 223121131310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23121131310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31165683120).

23121131310 is an abundant number, since it is smaller than the sum of its proper divisors (39210234930).

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

23121131310 is a wasteful number, since it uses less digits than its factorization.

23121131310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20482 (or 20479 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 23121131310 its reverse (1313112132), we get a palindrome (24434243442).

The spelling of 23121131310 in words is "twenty-three billion, one hundred twenty-one million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 443 522 870 886 1305 1329 2215 2610 2658 3987 4430 6645 7974 12847 13290 19935 19997 25694 38541 39870 39994 59991 64235 77082 99985 115623 119982 128470 179973 192705 199970 231246 299955 359946 385410 578115 579913 599910 899865 1156230 1159826 1739739 1799730 2899565 3479478 5219217 5799130 8698695 8858671 10438434 17397390 17717342 26096085 26576013 44293355 52192170 53152026 79728039 88586710 132880065 159456078 256901459 265760130 398640195 513802918 770704377 797280390 1284507295 1541408754 2312113131 2569014590 3853521885 4624226262 7707043770 11560565655 23121131310