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200012100012 = 223347322912203
BaseRepresentation
bin1011101001000110100…
…1100111000110101100
3201010021012001102121000
42322101221213012230
511234111044200022
6231515001240300
720310325541004
oct2722151470654
9633235042530
10200012100012
117790868610a
123291b793090
1315b2699784a
149975951004
1553095646ac
hex2e91a671ac

200012100012 has 96 divisors (see below), whose sum is σ = 529790284800. Its totient is φ = 65226620736.

The previous prime is 200012099939. The next prime is 200012100019. The reversal of 200012100012 is 210001210002.

200012100012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200012099967 and 200012100003.

It is not an unprimeable number, because it can be changed into a prime (200012100019) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16384303 + ... + 16396505.

It is an arithmetic number, because the mean of its divisors is an integer number (5518648800).

Almost surely, 2200012100012 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 200012100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264895142400).

200012100012 is an abundant number, since it is smaller than the sum of its proper divisors (329778184788).

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

200012100012 is a wasteful number, since it uses less digits than its factorization.

200012100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15492 (or 15484 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200012100012 its reverse (210001210002), we get a palindrome (410013310014).

The spelling of 200012100012 in words is "two hundred billion, twelve million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 3229 5076 6458 9687 12203 12916 19374 24406 29061 36609 38748 48812 58122 73218 87183 109827 116244 146436 151763 174366 219654 303526 329481 348732 439308 455289 573541 607052 658962 910578 1147082 1317924 1365867 1720623 1821156 2294164 2731734 3441246 4097601 5161869 5463468 6882492 8195202 10323738 15485607 16390404 20647476 30971214 39403487 61942428 78806974 118210461 157613948 236420922 354631383 472841844 709262766 1063894149 1418525532 1851963889 2127788298 3703927778 4255576596 5555891667 7407855556 11111783334 16667675001 22223566668 33335350002 50003025003 66670700004 100006050006 200012100012