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20103332000 = 255320292477
BaseRepresentation
bin10010101110010000…
…001000000010100000
31220220000222002002212
4102232100020002200
5312132423111000
613122500101252
71311115334243
oct225620100240
956800862085
1020103332000
118586896974
123a90694828
131b84c16c2b
14d89d0325a
157c9d7cc35
hex4ae4080a0

20103332000 has 96 divisors (see below), whose sum is σ = 49438181520. Its totient is φ = 8034124800.

The previous prime is 20103331993. The next prime is 20103332023. The reversal of 20103332000 is 23330102.

It can be written as a sum of positive squares in 8 ways, for example, as 5122551184 + 14980780816 = 71572^2 + 122396^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8114762 + ... + 8117238.

Almost surely, 220103332000 is an apocalyptic number.

20103332000 is a gapful number since it is divisible by the number (20) 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 20103332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24719090760).

20103332000 is an abundant number, since it is smaller than the sum of its proper divisors (29334849520).

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

20103332000 is a wasteful number, since it uses less digits than its factorization.

20103332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4531 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 20103332000 its reverse (23330102), we get a palindrome (20126662102).

The spelling of 20103332000 in words is "twenty billion, one hundred three million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2029 2477 4000 4058 4954 8116 9908 10145 12385 16232 19816 20290 24770 32464 39632 40580 49540 50725 61925 64928 79264 81160 99080 101450 123850 162320 198160 202900 247700 253625 309625 324640 396320 405800 495400 507250 619250 811600 990800 1014500 1238500 1623200 1981600 2029000 2477000 4058000 4954000 5025833 8116000 9908000 10051666 20103332 25129165 40206664 50258330 80413328 100516660 125645825 160826656 201033320 251291650 402066640 502583300 628229125 804133280 1005166600 1256458250 2010333200 2512916500 4020666400 5025833000 10051666000 20103332000