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20012131000 = 235371521541
BaseRepresentation
bin10010101000110100…
…001110001010111000
31220122200100120212001
4102220310032022320
5311441101143000
613105441230344
71305630210151
oct225064161270
956580316761
1020012131000
11853a365244
123a660323b4
131b6c064444
14d7bb62928
157c1d6546a
hex4a8d0e2b8

20012131000 has 128 divisors (see below), whose sum is σ = 47667035520. Its totient is φ = 7862400000.

The previous prime is 20012130989. The next prime is 20012131031. The reversal of 20012131000 is 13121002.

It is a super-2 number, since 2×200121310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 36990730 + ... + 36991270.

It is an arithmetic number, because the mean of its divisors is an integer number (372398715).

Almost surely, 220012131000 is an apocalyptic number.

20012131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20012131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23833517760).

20012131000 is an abundant number, since it is smaller than the sum of its proper divisors (27654904520).

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

20012131000 is a wasteful number, since it uses less digits than its factorization.

20012131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 20012131000 its reverse (13121002), we get a palindrome (20025252002).

The spelling of 20012131000 in words is "twenty billion, twelve million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 500 521 541 568 710 1000 1042 1082 1420 1775 2084 2164 2605 2705 2840 3550 4168 4328 5210 5410 7100 8875 10420 10820 13025 13525 14200 17750 20840 21640 26050 27050 35500 36991 38411 52100 54100 65125 67625 71000 73982 76822 104200 108200 130250 135250 147964 153644 184955 192055 260500 270500 281861 295928 307288 369910 384110 521000 541000 563722 739820 768220 924775 960275 1127444 1409305 1479640 1536440 1849550 1920550 2254888 2818610 3699100 3841100 4623875 4801375 5637220 7046525 7398200 7682200 9247750 9602750 11274440 14093050 18495500 19205500 20012131 28186100 35232625 36991000 38411000 40024262 56372200 70465250 80048524 100060655 140930500 160097048 200121310 281861000 400242620 500303275 800485240 1000606550 2001213100 2501516375 4002426200 5003032750 10006065500 20012131000