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100023241024 = 2671791247297
BaseRepresentation
bin101110100100111011…
…0011000100101000000
3100120011210101002221101
41131021312120211000
53114321422203044
6113541113104144
710140445343410
oct1351166304500
9316153332841
10100023241024
113946856a463
12174756b8054
139580589125
144bac190640
1529062cacd4
hex1749d98940

100023241024 has 56 divisors (see below), whose sum is σ = 228105858240. Its totient is φ = 42627588096.

The previous prime is 100023241009. The next prime is 100023241027. The reversal of 100023241024 is 420142320001.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 100023240992 and 100023241010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100023241027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543457 + ... + 703840.

Almost surely, 2100023241024 is an apocalyptic number.

100023241024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100023241024 is an abundant number, since it is smaller than the sum of its proper divisors (128082617216).

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

100023241024 is a wasteful number, since it uses less digits than its factorization.

100023241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247495 (or 1247485 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 100023241024 its reverse (420142320001), we get a palindrome (520165561025).

The spelling of 100023241024 in words is "one hundred billion, twenty-three million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 179 224 358 448 716 1253 1432 2506 2864 5012 5728 10024 11456 20048 40096 80192 1247297 2494594 4989188 8731079 9978376 17462158 19956752 34924316 39913504 69848632 79827008 139697264 223266163 279394528 446532326 558789056 893064652 1562863141 1786129304 3125726282 3572258608 6251452564 7144517216 12502905128 14289034432 25005810256 50011620512 100023241024