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106632748300 = 22521382025191
BaseRepresentation
bin110001101001111001…
…1101001110100001100
3101012020102022212102011
41203103303221310030
53221340440421200
6120553021511004
710463313256051
oct1432363516414
9335212285364
10106632748300
114124a452071
12187bb112464
13a0949cbc90
145237cdd028
152b916ad5ba
hex18d3ce9d0c

106632748300 has 36 divisors (see below), whose sum is σ = 249192533296. Its totient is φ = 39372091200.

The previous prime is 106632748297. The next prime is 106632748331. The reversal of 106632748300 is 3847236601.

106632748300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1066327483002 (a number of 23 digits) contains 22 as substring.

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, 41011296 + ... + 41013895.

Almost surely, 2106632748300 is an apocalyptic number.

106632748300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106632748300 is an abundant number, since it is smaller than the sum of its proper divisors (142559784996).

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

106632748300 is a wasteful number, since it uses less digits than its factorization.

106632748300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82025218 (or 82025211 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 106632748300 in words is "one hundred six billion, six hundred thirty-two million, seven hundred forty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 82025191 164050382 328100764 410125955 820251910 1066327483 1640503820 2050629775 2132654966 4101259550 4265309932 5331637415 8202519100 10663274830 21326549660 26658187075 53316374150 106632748300