Search a number
-
+
100464115224 = 23311286340087
BaseRepresentation
bin101110110010000100…
…0001011111000011000
3100121022111221211122110
41131210020023320120
53121222303141344
6114052542352320
710154410614054
oct1354410137030
9317274854573
10100464115224
1139674412800
121757928b6a0
139620a0c135
144c10954c64
15292ed653b9
hex176420be18

100464115224 has 96 divisors (see below), whose sum is σ = 276395535360. Its totient is φ = 30407636160.

The previous prime is 100464115181. The next prime is 100464115231. The reversal of 100464115224 is 422511464001.

It is a super-2 number, since 2×1004641152242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100464115191 and 100464115200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2486109 + ... + 2526195.

It is an arithmetic number, because the mean of its divisors is an integer number (2879120160).

Almost surely, 2100464115224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100464115224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138197767680).

100464115224 is an abundant number, since it is smaller than the sum of its proper divisors (175931420136).

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

100464115224 is a wasteful number, since it uses less digits than its factorization.

100464115224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40981 (or 40966 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 100464115224 its reverse (422511464001), we get a palindrome (522975579225).

The spelling of 100464115224 in words is "one hundred billion, four hundred sixty-four million, one hundred fifteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 863 968 1452 1726 2589 2904 3452 5178 6904 9493 10356 18986 20712 28479 37972 40087 56958 75944 80174 104423 113916 120261 160348 208846 227832 240522 313269 320696 417692 440957 481044 626538 835384 881914 962088 1253076 1322871 1763828 2506152 2645742 3527656 4850527 5291484 9701054 10582968 14551581 19402108 29103162 34595081 38804216 58206324 69190162 103785243 116412648 138380324 207570486 276760648 380545891 415140972 761091782 830281944 1141637673 1522183564 2283275346 3044367128 4186004801 4566550692 8372009602 9133101384 12558014403 16744019204 25116028806 33488038408 50232057612 100464115224