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100213120332 = 223213214130599
BaseRepresentation
bin101110101010100101…
…0101101110101001100
3100120200000122222101100
41131111022231311030
53120214024322312
6114012014543100
710145242316403
oct1352512556514
9316600588340
10100213120332
113955576a606
1217509207a90
1395b0a0b950
144bc949a63a
152917cd65dc
hex17552add4c

100213120332 has 36 divisors (see below), whose sum is σ = 272802384400. Its totient is φ = 30834806112.

The previous prime is 100213120309. The next prime is 100213120333. The reversal of 100213120332 is 233021312001.

100213120332 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 312 + 0 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100213120333) 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, 107064832 + ... + 107065767.

Almost surely, 2100213120332 is an apocalyptic number.

100213120332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100213120332 is an abundant number, since it is smaller than the sum of its proper divisors (172589264068).

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

100213120332 is a wasteful number, since it uses less digits than its factorization.

100213120332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214130622 (or 214130617 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100213120332 its reverse (233021312001), we get a palindrome (333234432333).

The spelling of 100213120332 in words is "one hundred billion, two hundred thirteen million, one hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 214130599 428261198 642391797 856522396 1284783594 1927175391 2569567188 2783697787 3854350782 5567395574 7708701564 8351093361 11134791148 16702186722 25053280083 33404373444 50106560166 100213120332