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32233130120 = 2352381143201
BaseRepresentation
bin11110000001001111…
…101000100010001000
310002012101022200000002
4132001033220202020
51012003140130440
622450243502132
72220524041202
oct360117504210
9102171280002
1032233130120
1112740841814
1262b6987948
133068c26379
1417bac6b772
15c89bdc115
hex7813e8888

32233130120 has 64 divisors (see below), whose sum is σ = 75772851840. Its totient is φ = 12317184000.

The previous prime is 32233130053. The next prime is 32233130129. The reversal of 32233130120 is 2103133223.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32233130092 and 32233130101.

It is not an unprimeable number, because it can be changed into a prime (32233130129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 724520 + ... + 767720.

It is an arithmetic number, because the mean of its divisors is an integer number (1183950810).

Almost surely, 232233130120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32233130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37886425920).

32233130120 is an abundant number, since it is smaller than the sum of its proper divisors (43539721720).

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

32233130120 is a wasteful number, since it uses less digits than its factorization.

32233130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44046 (or 44042 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 32233130120 its reverse (2103133223), we get a palindrome (34336263343).

The spelling of 32233130120 in words is "thirty-two billion, two hundred thirty-three million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 811 920 1622 3244 4055 6488 8110 16220 18653 32440 37306 43201 74612 86402 93265 149224 172804 186530 216005 345608 373060 432010 746120 864020 993623 1728040 1987246 3974492 4968115 7948984 9936230 19872460 35036011 39744920 70072022 140144044 175180055 280288088 350360110 700720220 805828253 1401440440 1611656506 3223313012 4029141265 6446626024 8058282530 16116565060 32233130120