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22300131120 = 2435611523233
BaseRepresentation
bin10100110001001100…
…001111111100110000
32010120010122000222020
4110301030033330300
5331132313143440
614124453111440
71416421662351
oct246114177460
963503560866
1022300131120
11950392a633
1243a4328580
132145097677
141117989d28
158a7b663d0
hex53130ff30

22300131120 has 80 divisors (see below), whose sum is σ = 70263737952. Its totient is φ = 5849210880.

The previous prime is 22300131107. The next prime is 22300131151. The reversal of 22300131120 is 2113100322.

It is a tau number, because it is divible by the number of its divisors (80).

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 22300131120.

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 15 ways as a sum of consecutive naturals, for example, 746977 + ... + 776256.

Almost surely, 222300131120 is an apocalyptic number.

22300131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22300131120 is an abundant number, since it is smaller than the sum of its proper divisors (47963606832).

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

22300131120 is a wasteful number, since it uses less digits than its factorization.

22300131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523310 (or 1523304 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 22300131120 its reverse (2113100322), we get a palindrome (24413231442).

The spelling of 22300131120 in words is "twenty-two billion, three hundred million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 14640 1523233 3046466 4569699 6092932 7616165 9139398 12185864 15232330 18278796 22848495 24371728 30464660 36557592 45696990 60929320 73115184 91393980 92917213 121858640 182787960 185834426 278751639 365575920 371668852 464586065 557503278 743337704 929172130 1115006556 1393758195 1486675408 1858344260 2230013112 2787516390 3716688520 4460026224 5575032780 7433377040 11150065560 22300131120