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100213346432 = 27782916769
BaseRepresentation
bin101110101010100101…
…1100101000010000000
3100120200001002110112102
41131111023211002000
53120214104041212
6114012023445532
710145244250523
oct1352513450200
9316601073472
10100213346432
1139555904471
12175092b68a8
1395b0a8a834
144bc9518bba
152917d2d5c2
hex17552e5080

100213346432 has 16 divisors (see below), whose sum is σ = 199643776350. Its totient is φ = 50106673152.

The previous prime is 100213346413. The next prime is 100213346459. The reversal of 100213346432 is 234643312001.

It can be written as a sum of positive squares in only one way, i.e., 55157340736 + 45056005696 = 234856^2 + 212264^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 100213346395 and 100213346404.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 391458257 + ... + 391458512.

Almost surely, 2100213346432 is an apocalyptic number.

It is an amenable number.

100213346432 is a deficient number, since it is larger than the sum of its proper divisors (99430429918).

100213346432 is an frugal number, since it uses more digits than its factorization.

100213346432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782916783 (or 782916771 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 100213346432 its reverse (234643312001), we get a palindrome (334856658433).

The spelling of 100213346432 in words is "one hundred billion, two hundred thirteen million, three hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 782916769 1565833538 3131667076 6263334152 12526668304 25053336608 50106673216 100213346432