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101002200012 = 22327257839901
BaseRepresentation
bin101111000010000110…
…0110100001111001100
3100122201000110101012200
41132010030310033030
53123323030400022
6114222203401500
710203633351300
oct1360414641714
9318630411180
10101002200012
113992012187a
12176a9523290
1396a833a0bc
144c621c1d00
152962202bac
hex17843343cc

101002200012 has 108 divisors (see below), whose sum is σ = 297075922416. Its totient is φ = 28849867200.

The previous prime is 101002199999. The next prime is 101002200029. The reversal of 101002200012 is 210002200101.

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 = 101002199967 and 101002200003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10196262 + ... + 10206162.

Almost surely, 2101002200012 is an apocalyptic number.

101002200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101002200012 is an abundant number, since it is smaller than the sum of its proper divisors (196073722404).

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

101002200012 is a wasteful number, since it uses less digits than its factorization.

101002200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15708 (or 15696 counting only the distinct ones).

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

Adding to 101002200012 its reverse (210002200101), we get a palindrome (311004400113).

The spelling of 101002200012 in words is "one hundred one billion, two million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 5783 9901 11566 17349 19802 23132 29703 34698 39604 40481 52047 59406 69307 69396 80962 89109 104094 118812 121443 138614 161924 178218 207921 208188 242886 277228 283367 356436 364329 415842 485149 485772 566734 623763 728658 831684 850101 970298 1133468 1247526 1455447 1457316 1700202 1940596 2495052 2550303 2910894 3400404 4366341 5100606 5821788 8732682 10201212 17465364 57257483 114514966 171772449 229029932 343544898 400802381 515317347 687089796 801604762 1030634694 1202407143 1603209524 2061269388 2404814286 2805616667 3607221429 4809628572 5611233334 7214442858 8416850001 11222466668 14428885716 16833700002 25250550003 33667400004 50501100006 101002200012