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100211100020 = 22567203936677
BaseRepresentation
bin101110101010100001…
…1000000100101110100
3100120122212212100000222
41131111003000211310
53120213020200040
6114011503353512
710145216203313
oct1352503004564
9316585770028
10100211100020
113955460a729
12175085b2898
1395b04821b5
144bc90d227a
152917a37bb5
hex17550c0974

100211100020 has 48 divisors (see below), whose sum is σ = 213694830720. Its totient is φ = 39465723264.

The previous prime is 100211099993. The next prime is 100211100049. The reversal of 100211100020 is 20001112001.

It is a junction number, because it is equal to n+sod(n) for n = 100211099980 and 100211100007.

It is a congruent number.

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, 2713922 + ... + 2750598.

It is an arithmetic number, because the mean of its divisors is an integer number (4451975640).

Almost surely, 2100211100020 is an apocalyptic number.

100211100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211100020 is an abundant number, since it is smaller than the sum of its proper divisors (113483730700).

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

100211100020 is a wasteful number, since it uses less digits than its factorization.

100211100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38792 (or 38790 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100211100020 its reverse (20001112001), we get a palindrome (120212212021).

The spelling of 100211100020 in words is "one hundred billion, two hundred eleven million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 1340 2039 4078 8156 10195 20390 36677 40780 73354 136613 146708 183385 273226 366770 546452 683065 733540 1366130 2457359 2732260 4914718 9829436 12286795 24573590 49147180 74784403 149568806 299137612 373922015 747844030 1495688060 5010555001 10021110002 20042220004 25052775005 50105550010 100211100020