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103400325632 = 291711879633
BaseRepresentation
bin110000001001100100…
…0111100001000000000
3100212220010221210010002
41200103020330020000
53143230440410012
6115300151455132
710320233160212
oct1402310741000
9325803853102
10103400325632
113a94087407a
12180586874a8
13999b11a846
14500c8b45b2
152a52a087c2
hex181323c200

103400325632 has 40 divisors (see below), whose sum is σ = 218751580476. Its totient is φ = 48658972672.

The previous prime is 103400325631. The next prime is 103400325643. The reversal of 103400325632 is 236523004301.

It can be written as a sum of positive squares in 2 ways, for example, as 103107778816 + 292546816 = 321104^2 + 17104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103400325595 and 103400325604.

It is not an unprimeable number, because it can be changed into a prime (103400325631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5931113 + ... + 5948520.

Almost surely, 2103400325632 is an apocalyptic number.

It is an amenable number.

103400325632 is an abundant number, since it is smaller than the sum of its proper divisors (115351254844).

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

103400325632 is an equidigital number, since it uses as much as digits as its factorization.

103400325632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11879668 (or 11879652 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 103400325632 its reverse (236523004301), we get a palindrome (339923329933).

The spelling of 103400325632 in words is "one hundred three billion, four hundred million, three hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 8704 11879633 23759266 47518532 95037064 190074128 201953761 380148256 403907522 760296512 807815044 1520593024 1615630088 3041186048 3231260176 6082372096 6462520352 12925040704 25850081408 51700162816 103400325632