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20400231020 = 22513679712073
BaseRepresentation
bin10010111111111100…
…101101001001101100
31221122201122002222212
4102333330231021230
5313234424343040
613212143425552
71321352050121
oct227774551154
957581562885
1020400231020
118719442564
123b53bb52b8
131c0159a420
14db750a748
157e5e77d65
hex4bff2d26c

20400231020 has 96 divisors (see below), whose sum is σ = 47311147968. Its totient is φ = 7342866432.

The previous prime is 20400230959. The next prime is 20400231023. The reversal of 20400231020 is 2013200402.

It is a junction number, because it is equal to n+sod(n) for n = 20400230986 and 20400231004.

It is not an unprimeable number, because it can be changed into a prime (20400231023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1683704 + ... + 1695776.

It is an arithmetic number, because the mean of its divisors is an integer number (492824458).

Almost surely, 220400231020 is an apocalyptic number.

20400231020 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 20400231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23655573984).

20400231020 is an abundant number, since it is smaller than the sum of its proper divisors (26910916948).

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

20400231020 is a wasteful number, since it uses less digits than its factorization.

20400231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12259 (or 12257 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20400231020 its reverse (2013200402), we get a palindrome (22413431422).

The spelling of 20400231020 in words is "twenty billion, four hundred million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 97 130 134 194 260 268 335 388 485 670 871 970 1261 1340 1742 1940 2522 3484 4355 5044 6305 6499 8710 12073 12610 12998 17420 24146 25220 25996 32495 48292 60365 64990 84487 120730 129980 156949 168974 241460 313898 337948 422435 627796 784745 808891 844870 1171081 1569490 1617782 1689740 2342162 3138980 3235564 4044455 4684324 5855405 8088910 10515583 11710810 15224053 16177820 21031166 23421620 30448106 42062332 52577915 60896212 76120265 78462427 105155830 152240530 156924854 210311660 304481060 313849708 392312135 784624270 1020011551 1569248540 2040023102 4080046204 5100057755 10200115510 20400231020