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20310013120 = 265293496271
BaseRepresentation
bin10010111010100100…
…100011010011000000
31221102102212120022011
4102322210203103000
5313043330404440
613155202022304
71316205156145
oct227244432300
957372776264
1020310013120
118682522511
123b29947994
131bb89a0257
14da95443cc
157dd0a69ea
hex4ba9234c0

20310013120 has 112 divisors (see below), whose sum is σ = 50182272000. Its totient is φ = 7820144640.

The previous prime is 20310013109. The next prime is 20310013189. The reversal of 20310013120 is 2131001302.

It is a self number, because there is not a number n which added to its sum of digits gives 20310013120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3235585 + ... + 3241855.

It is an arithmetic number, because the mean of its divisors is an integer number (448056000).

Almost surely, 220310013120 is an apocalyptic number.

20310013120 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 20310013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25091136000).

20310013120 is an abundant number, since it is smaller than the sum of its proper divisors (29872258880).

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

20310013120 is a wasteful number, since it uses less digits than its factorization.

20310013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6666 (or 6656 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 20310013120 its reverse (2131001302), we get a palindrome (22441014422).

The spelling of 20310013120 in words is "twenty billion, three hundred ten million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 349 464 580 698 928 1160 1396 1745 1856 2320 2792 3490 4640 5584 6271 6980 9280 10121 11168 12542 13960 20242 22336 25084 27920 31355 40484 50168 50605 55840 62710 80968 100336 101210 111680 125420 161936 181859 200672 202420 250840 323872 363718 401344 404840 501680 647744 727436 809680 909295 1003360 1454872 1619360 1818590 2006720 2188579 2909744 3238720 3637180 4377158 5819488 7274360 8754316 10942895 11638976 14548720 17508632 21885790 29097440 35017264 43771580 58194880 63468791 70034528 87543160 126937582 140069056 175086320 253875164 317343955 350172640 507750328 634687910 700345280 1015500656 1269375820 2031001312 2538751640 4062002624 5077503280 10155006560 20310013120