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10106403232 = 25479676949
BaseRepresentation
bin10010110100110001…
…10111100110100000
3222002022222110220211
421122120313212200
5131144214400412
64350503143504
7505306003312
oct113230674640
928068873824
1010106403232
11431688a372
121b60744b94
13c50a63673
146bc33d7b2
153e23c9ca7
hex25a6379a0

10106403232 has 48 divisors (see below), whose sum is σ = 20344262400. Its totient is φ = 4939861248.

The previous prime is 10106403173. The next prime is 10106403233. The reversal of 10106403232 is 23230460101.

It is not an unprimeable number, because it can be changed into a prime (10106403233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1450894 + ... + 1457842.

It is an arithmetic number, because the mean of its divisors is an integer number (423838800).

Almost surely, 210106403232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10106403232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10172131200).

10106403232 is an abundant number, since it is smaller than the sum of its proper divisors (10237859168).

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

10106403232 is an equidigital number, since it uses as much as digits as its factorization.

10106403232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7973 (or 7965 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10106403232 its reverse (23230460101), we get a palindrome (33336863333).

The spelling of 10106403232 in words is "ten billion, one hundred six million, four hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 967 1504 1934 3868 6949 7736 13898 15472 27796 30944 45449 55592 90898 111184 181796 222368 326603 363592 653206 727184 1306412 1454368 2612824 5225648 6719683 10451296 13439366 26878732 53757464 107514928 215029856 315825101 631650202 1263300404 2526600808 5053201616 10106403232