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23113433431104 = 263536433532453
BaseRepresentation
bin1010100000101100000111…
…11111010011110001000000
310000211121210220202010111220
411100112003333103301000
511012142302424243404
6121054055325435040
74603614266362452
oct520260377236100
9100747726663456
1023113433431104
117401396673495
12271365610ba80
13cb8783740273
1459c9a63282d2
152a1377d304d9
hex150583fd3c40

23113433431104 has 112 divisors (see below), whose sum is σ = 62405067114432. Its totient is φ = 7547352164352.

The previous prime is 23113433431103. The next prime is 23113433431217. The reversal of 23113433431104 is 40113433431132.

It is not an unprimeable number, because it can be changed into a prime (23113433431103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4776942 + ... + 8309394.

It is an arithmetic number, because the mean of its divisors is an integer number (557188099236).

Almost surely, 223113433431104 is an apocalyptic number.

23113433431104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23113433431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31202533557216).

23113433431104 is an abundant number, since it is smaller than the sum of its proper divisors (39291633683328).

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

23113433431104 is a wasteful number, since it uses less digits than its factorization.

23113433431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533164 (or 3533154 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 23113433431104 its reverse (40113433431132), we get a palindrome (63226866862236).

The spelling of 23113433431104 in words is "twenty-three trillion, one hundred thirteen billion, four hundred thirty-three million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 643 848 1272 1286 1696 1929 2544 2572 3392 3858 5088 5144 7716 10176 10288 15432 20576 30864 34079 41152 61728 68158 102237 123456 136316 204474 272632 408948 545264 817896 1090528 1635792 2181056 3271584 3532453 6543168 7064906 10597359 14129812 21194718 28259624 42389436 56519248 84778872 113038496 169557744 187220009 226076992 339115488 374440018 561660027 678230976 748880036 1123320054 1497760072 2246640108 2271367279 2995520144 4493280216 4542734558 5991040288 6814101837 8986560432 9085469116 11982080576 13628203674 17973120864 18170938232 27256407348 35946241728 36341876464 54512814696 72683752928 109025629392 120382465787 145367505856 218051258784 240764931574 361147397361 436102517568 481529863148 722294794722 963059726296 1444589589444 1926119452592 2889179178888 3852238905184 5778358357776 7704477810368 11556716715552 23113433431104