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100362442840 = 235111091209071
BaseRepresentation
bin101110101111000010…
…0010101100001011000
3100121001102122100100121
41131132010111201120
53121020241132330
6114034511243024
710152034455112
oct1353604254130
9317042570317
10100362442840
1139621a89840
121754b219474
13960593136a
144c0124a3b2
152925e8017a
hex175e115858

100362442840 has 64 divisors (see below), whose sum is σ = 246571153920. Its totient is φ = 36461808000.

The previous prime is 100362442837. The next prime is 100362442849. The reversal of 100362442840 is 48244263001.

It is a junction number, because it is equal to n+sod(n) for n = 100362442796 and 100362442805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100362442849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375505 + ... + 584575.

It is an arithmetic number, because the mean of its divisors is an integer number (3852674280).

Almost surely, 2100362442840 is an apocalyptic number.

100362442840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100362442840 is an abundant number, since it is smaller than the sum of its proper divisors (146208711080).

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

100362442840 is a wasteful number, since it uses less digits than its factorization.

100362442840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210184 (or 210180 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 100362442840 in words is "one hundred billion, three hundred sixty-two million, four hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1091 2182 4364 5455 8728 10910 12001 21820 24002 43640 48004 60005 96008 120010 209071 240020 418142 480040 836284 1045355 1672568 2090710 2299781 4181420 4599562 8362840 9199124 11498905 18398248 22997810 45995620 91991240 228096461 456192922 912385844 1140482305 1824771688 2280964610 2509061071 4561929220 5018122142 9123858440 10036244284 12545305355 20072488568 25090610710 50181221420 100362442840