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10101381800 = 235261382393
BaseRepresentation
bin10010110100001011…
…01101101010101000
3222001222112100210212
421122011231222220
5131141423204200
64350203400252
7505215220466
oct113205555250
928058470725
1010101381800
114313a6a724
121b5ab23088
13c4c9c5bc3
146bb7d3836
153e1c37035
hex25a16daa8

10101381800 has 48 divisors (see below), whose sum is σ = 23524310940. Its totient is φ = 4033912320.

The previous prime is 10101381757. The next prime is 10101381811. The reversal of 10101381800 is 818310101.

It can be written as a sum of positive squares in 6 ways, for example, as 2356325764 + 7745056036 = 48542^2 + 88006^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81404 + ... + 163796.

Almost surely, 210101381800 is an apocalyptic number.

10101381800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101381800 is an abundant number, since it is smaller than the sum of its proper divisors (13422929140).

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

10101381800 is a wasteful number, since it uses less digits than its factorization.

10101381800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83022 (or 83013 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 23.

Adding to 10101381800 its reverse (818310101), we get a palindrome (10919691901).

The spelling of 10101381800 in words is "ten billion, one hundred one million, three hundred eighty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 613 1226 2452 3065 4904 6130 12260 15325 24520 30650 61300 82393 122600 164786 329572 411965 659144 823930 1647860 2059825 3295720 4119650 8239300 16478600 50506909 101013818 202027636 252534545 404055272 505069090 1010138180 1262672725 2020276360 2525345450 5050690900 10101381800