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42332102120 = 23571113744189
BaseRepresentation
bin100111011011001100…
…001001110111101000
311001021012022121012002
4213123030021313220
51143144004231440
631240323510132
73026012634230
oct473314116750
9131235277162
1042332102120
1116a53405970
128254b28348
133cb8287449
1420981d4cc0
15117b5ea115
hex9db309de8

42332102120 has 64 divisors (see below), whose sum is σ = 118749801600. Its totient is φ = 13194420480.

The previous prime is 42332102119. The next prime is 42332102123. The reversal of 42332102120 is 2120123324.

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 = 42332102092 and 42332102101.

It is not an unprimeable number, because it can be changed into a prime (42332102123) 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 15 ways as a sum of consecutive naturals, for example, 6869015 + ... + 6875174.

It is an arithmetic number, because the mean of its divisors is an integer number (1855465650).

Almost surely, 242332102120 is an apocalyptic number.

42332102120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42332102120 is an abundant number, since it is smaller than the sum of its proper divisors (76417699480).

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

42332102120 is a wasteful number, since it uses less digits than its factorization.

42332102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13744218 (or 13744214 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 42332102120 its reverse (2120123324), we get a palindrome (44452225444).

The spelling of 42332102120 in words is "forty-two billion, three hundred thirty-two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 13744189 27488378 54976756 68720945 96209323 109953512 137441890 151186079 192418646 274883780 302372158 384837292 481046615 549767560 604744316 755930395 769674584 962093230 1058302553 1209488632 1511860790 1924186460 2116605106 3023721580 3848372920 4233210212 5291512765 6047443160 8466420424 10583025530 21166051060 42332102120