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20313001120 = 2551072911833
BaseRepresentation
bin10010111010101111…
…111100110010100000
31221102122111101001211
4102322233330302200
5313100112013440
613155350035504
71316242442416
oct227257746240
957378441054
1020313001120
118684183435
123b2a948b94
131bb94a82b9
14da9ac12b6
157dd496eea
hex4babfcca0

20313001120 has 48 divisors (see below), whose sum is σ = 47997993960. Its totient is φ = 8123756544.

The previous prime is 20313001067. The next prime is 20313001127. The reversal of 20313001120 is 2110031302.

It can be written as a sum of positive squares in 4 ways, for example, as 20235631504 + 77369616 = 142252^2 + 8796^2 .

It is a super-2 number, since 2×203130011202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20313001120.

It is not an unprimeable number, because it can be changed into a prime (20313001127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1710724 + ... + 1722556.

Almost surely, 220313001120 is an apocalyptic number.

20313001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20313001120 is an abundant number, since it is smaller than the sum of its proper divisors (27684992840).

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

20313001120 is a wasteful number, since it uses less digits than its factorization.

20313001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22577 (or 22569 counting only the distinct ones).

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

Adding to 20313001120 its reverse (2110031302), we get a palindrome (22423032422).

The spelling of 20313001120 in words is "twenty billion, three hundred thirteen million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 10729 11833 21458 23666 42916 47332 53645 59165 85832 94664 107290 118330 171664 189328 214580 236660 343328 378656 429160 473320 858320 946640 1716640 1893280 126956257 253912514 507825028 634781285 1015650056 1269562570 2031300112 2539125140 4062600224 5078250280 10156500560 20313001120