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20311131120 = 2435721727137
BaseRepresentation
bin10010111010101000…
…110100001111110000
31221102111222100220120
4102322220310033300
5313044122143440
613155242010240
71316220523500
oct227250641760
957374870816
1020311131120
118683116485
123b2a1a6980
131bb8ca20a7
14da9755a00
157dd227dd0
hex4baa343f0

20311131120 has 120 divisors (see below), whose sum is σ = 73244468304. Its totient is φ = 4642541568.

The previous prime is 20311131083. The next prime is 20311131131. The reversal of 20311131120 is 2113111302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20311131120.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 851809 + ... + 875328.

Almost surely, 220311131120 is an apocalyptic number.

20311131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20311131120 is an abundant number, since it is smaller than the sum of its proper divisors (52933337184).

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

20311131120 is a wasteful number, since it uses less digits than its factorization.

20311131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727167 (or 1727154 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 20311131120 its reverse (2113111302), we get a palindrome (22424242422).

The spelling of 20311131120 in words is "twenty billion, three hundred eleven million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 1727137 3454274 5181411 6908548 8635685 10362822 12089959 13817096 17271370 20725644 24179918 25907055 27634192 34542740 36269877 41451288 48359836 51814110 60449795 69085480 72539754 82902576 84629713 96719672 103628220 120899590 138170960 145079508 169259426 181349385 193439344 207256440 241799180 253889139 290159016 338518852 362698770 414512880 423148565 483598360 507778278 580318032 677037704 725397540 846297130 967196720 1015556556 1269445695 1354075408 1450795080 1692594260 2031113112 2538891390 2901590160 3385188520 4062226224 5077782780 6770377040 10155565560 20311131120