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20120031001020 = 22356015011111347
BaseRepresentation
bin1001001001100100011110…
…10011001111100110111100
32122020110022112222010120010
410210302033103033212330
510114121310414013040
6110443003055023220
74144424060502156
oct444621723174674
978213275863503
1020120031001020
116457947a76735
12230b49180ab10
13b2c406a338b2
144d7b59753ad6
1524d57c911e80
hex124c8f4cf9bc

20120031001020 has 96 divisors (see below), whose sum is σ = 56441592135936. Its totient is φ = 5355297216000.

The previous prime is 20120031001019. The next prime is 20120031001061. The reversal of 20120031001020 is 2010013002102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20120031000987 and 20120031001005.

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, 180640987 + ... + 180752333.

It is an arithmetic number, because the mean of its divisors is an integer number (587933251416).

Almost surely, 220120031001020 is an apocalyptic number.

20120031001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120031001020 is an abundant number, since it is smaller than the sum of its proper divisors (36321561134916).

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

20120031001020 is a wasteful number, since it uses less digits than its factorization.

20120031001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116971 (or 116969 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20120031001020 its reverse (2010013002102), we get a palindrome (22130044003122).

The spelling of 20120031001020 in words is "twenty trillion, one hundred twenty billion, thirty-one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 601 1202 1803 2404 3005 3606 5011 6010 7212 9015 10022 12020 15033 18030 20044 25055 30066 36060 50110 60132 75165 100220 111347 150330 222694 300660 334041 445388 556735 668082 1113470 1336164 1670205 2226940 3011611 3340410 6023222 6680820 9034833 12046444 15058055 18069666 30116110 36139332 45174165 60232220 66919547 90348330 133839094 180696660 200758641 267678188 334597735 401517282 557959817 669195470 803034564 1003793205 1115919634 1338390940 1673879451 2007586410 2231839268 2789799085 3347758902 4015172820 5579598170 6695517804 8369397255 11159196340 16738794510 33477589020 335333850017 670667700034 1006001550051 1341335400068 1676669250085 2012003100102 3353338500170 4024006200204 5030007750255 6706677000340 10060015500510 20120031001020