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211332103100 = 22522972873139
BaseRepresentation
bin1100010011010001011…
…1111111101110111100
3202012111002122011112122
43010310113333232330
511430302004244400
6241030140222112
721161002144316
oct3046427775674
9665432564478
10211332103100
118169750aa68
1234b5a83a938
1316c0bca4921
14a32b1207b6
15576d264685
hex31345ffbbc

211332103100 has 36 divisors (see below), whose sum is σ = 474404141400. Its totient is φ = 81617914560.

The previous prime is 211332103027. The next prime is 211332103109. The reversal of 211332103100 is 1301233112.

It is a super-2 number, since 2×2113321031002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211332103109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36433670 + ... + 36439469.

Almost surely, 2211332103100 is an apocalyptic number.

211332103100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211332103100 is an abundant number, since it is smaller than the sum of its proper divisors (263072038300).

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

211332103100 is a wasteful number, since it uses less digits than its factorization.

211332103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72873182 (or 72873175 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 211332103100 its reverse (1301233112), we get a palindrome (212633336212).

It can be divided in two parts, 211332 and 103100, that added together give a cube (314432 = 683).

The spelling of 211332103100 in words is "two hundred eleven billion, three hundred thirty-two million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 72873139 145746278 291492556 364365695 728731390 1457462780 1821828475 2113321031 3643656950 4226642062 7287313900 8453284124 10566605155 21133210310 42266420620 52833025775 105666051550 211332103100