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106010200312 = 23172333890729
BaseRepresentation
bin110001010111010110…
…0110100100011111000
3101010122000220011010021
41202232230310203320
53214102102402222
6120411142300224
710442013556252
oct1425654644370
9333560804107
10106010200312
1140a5aaa35a5
1218666727674
139cc5a3a2a3
1451b9366cd2
152b56bd9ac7
hex18aeb348f8

106010200312 has 32 divisors (see below), whose sum is σ = 219611930400. Its totient is φ = 47718145024.

The previous prime is 106010200291. The next prime is 106010200369. The reversal of 106010200312 is 213002010601.

It is a super-2 number, since 2×1060102003122 (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 16942237 + ... + 16948492.

It is an arithmetic number, because the mean of its divisors is an integer number (6862872825).

Almost surely, 2106010200312 is an apocalyptic number.

It is an amenable number.

106010200312 is an abundant number, since it is smaller than the sum of its proper divisors (113601730088).

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

106010200312 is a wasteful number, since it uses less digits than its factorization.

106010200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33890775 (or 33890771 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 106010200312 its reverse (213002010601), we get a palindrome (319012210913).

The spelling of 106010200312 in words is "one hundred six billion, ten million, two hundred thousand, three hundred twelve".

Divisors: 1 2 4 8 17 23 34 46 68 92 136 184 391 782 1564 3128 33890729 67781458 135562916 271125832 576142393 779486767 1152284786 1558973534 2304569572 3117947068 4609139144 6235894136 13251275039 26502550078 53005100156 106010200312