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100201213332 = 223211253033367
BaseRepresentation
bin101110101010001110…
…1010010110110010100
3100120122012021001001100
41131110131102312110
53120203002311312
6114010511430100
710145036155203
oct1352435226624
9316565231040
10100201213332
1139549a77710
1217505225330
1395ab40009c
144bc7a7b23a
152916c335dc
hex1754752d94

100201213332 has 36 divisors (see below), whose sum is σ = 276312437856. Its totient is φ = 30364003920.

The previous prime is 100201213309. The next prime is 100201213363. The reversal of 100201213332 is 233312102001.

100201213332 is a `hidden beast` number, since 100 + 20 + 1 + 213 + 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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126516288 + ... + 126517079.

It is an arithmetic number, because the mean of its divisors is an integer number (7675345496).

Almost surely, 2100201213332 is an apocalyptic number.

100201213332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100201213332 is an abundant number, since it is smaller than the sum of its proper divisors (176111224524).

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

100201213332 is a wasteful number, since it uses less digits than its factorization.

100201213332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253033388 (or 253033383 counting only the distinct ones).

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

Adding to 100201213332 its reverse (233312102001), we get a palindrome (333513315333).

The spelling of 100201213332 in words is "one hundred billion, two hundred one million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 253033367 506066734 759100101 1012133468 1518200202 2277300303 2783367037 3036400404 4554600606 5566734074 8350101111 9109201212 11133468148 16700202222 25050303333 33400404444 50100606666 100201213332