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100023033012 = 223723124122769
BaseRepresentation
bin101110100100111010…
…1100101110010110100
3100120011202222112121020
41131021311211302310
53114321344024022
6113541104421140
710140443516100
oct1351165456264
9316152875536
10100023033012
1139468438151
12174756177b0
139580515546
144bac138900
15290628935c
hex1749d65cb4

100023033012 has 144 divisors (see below), whose sum is σ = 281424084480. Its totient is φ = 27540172800.

The previous prime is 100023032969. The next prime is 100023033013. The reversal of 100023033012 is 210330320001.

It is a junction number, because it is equal to n+sod(n) for n = 100023032982 and 100023033000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100023033013) 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, 4381564 + ... + 4404332.

It is an arithmetic number, because the mean of its divisors is an integer number (1954333920).

Almost surely, 2100023033012 is an apocalyptic number.

100023033012 is a gapful number since it is divisible by the number (12) 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 100023033012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140712042240).

100023033012 is an abundant number, since it is smaller than the sum of its proper divisors (181401051468).

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

100023033012 is a wasteful number, since it uses less digits than its factorization.

100023033012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23062 (or 23053 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100023033012 its reverse (210330320001), we get a palindrome (310353353013).

The spelling of 100023033012 in words is "one hundred billion, twenty-three million, thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 241 294 372 434 482 588 651 723 868 964 1302 1446 1519 1687 2604 2892 3038 3374 4557 5061 6076 6748 7471 9114 10122 11809 14942 18228 20244 22413 22769 23618 29884 35427 44826 45538 47236 52297 68307 70854 89652 91076 104594 136614 141708 156891 159383 209188 273228 313782 318766 366079 478149 627564 637532 705839 732158 956298 1098237 1115681 1411678 1464316 1912596 2117517 2196474 2231362 2823356 3347043 4235034 4392948 4462724 4940873 5487329 6694086 8470068 9881746 10974658 13388172 14822619 16461987 19763492 21949316 29645238 32923974 34586111 38411303 59290476 65847948 69172222 76822606 103758333 115233909 138344444 153645212 170107199 207516666 230467818 268879121 340214398 415033332 460935636 510321597 537758242 680428796 806637363 1020643194 1075516484 1190750393 1613274726 2041286388 2381500786 3226549452 3572251179 4763001572 7144502358 8335252751 14289004716 16670505502 25005758253 33341011004 50011516506 100023033012