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20133132012 = 22337145918253
BaseRepresentation
bin10010110000000001…
…110011011011101100
31220222010001002001000
4102300001303123230
5312213040211022
613125442520300
71311626540610
oct226001633354
956863032030
1020133132012
1185a16a0084
123a9a666090
131b8b14bb86
14d8dc5d340
157cc7b76ac
hex4b00736ec

20133132012 has 96 divisors (see below), whose sum is σ = 59697881600. Its totient is φ = 5748065856.

The previous prime is 20133131987. The next prime is 20133132029. The reversal of 20133132012 is 21023133102.

20133132012 is a `hidden beast` number, since 2 + 0 + 1 + 331 + 320 + 12 = 666.

It is a super-2 number, since 2×201331320122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093878 + ... + 1112130.

Almost surely, 220133132012 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 20133132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29848940800).

20133132012 is an abundant number, since it is smaller than the sum of its proper divisors (39564749588).

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

20133132012 is a wasteful number, since it uses less digits than its factorization.

20133132012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19732 (or 19724 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20133132012 its reverse (21023133102), we get a palindrome (41156265114).

The spelling of 20133132012 in words is "twenty billion, one hundred thirty-three million, one hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1459 2918 4377 5836 8754 10213 13131 17508 18253 20426 26262 30639 36506 39393 40852 52524 54759 61278 73012 78786 91917 109518 122556 127771 157572 164277 183834 219036 255542 275751 328554 367668 383313 492831 511084 551502 657108 766626 985662 1103004 1149939 1533252 1971324 2299878 3449817 4599756 6899634 13799268 26631127 53262254 79893381 106524508 159786762 186417889 239680143 319573524 372835778 479360286 559253667 719040429 745671556 958720572 1118507334 1438080858 1677761001 2237014668 2876161716 3355522002 5033283003 6711044004 10066566006 20133132012