Search a number
-
+
32132120104 = 23717191776433
BaseRepresentation
bin11101111011001110…
…010011111000101000
310001221100020211022101
4131323032103320220
51011301310320404
622432234503144
72215156341310
oct357316237050
9101840224271
1032132120104
1112699820467
126288b94ab4
13305101ac26
1417ab696440
15c80dd82a4
hex77b393e28

32132120104 has 64 divisors (see below), whose sum is σ = 76741948800. Its totient is φ = 12278697984.

The previous prime is 32132120081. The next prime is 32132120107. The reversal of 32132120104 is 40102123123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (32132120107) 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, 870129 + ... + 906304.

It is an arithmetic number, because the mean of its divisors is an integer number (1199092950).

Almost surely, 232132120104 is an apocalyptic number.

32132120104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

32132120104 is an abundant number, since it is smaller than the sum of its proper divisors (44609828696).

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

32132120104 is a wasteful number, since it uses less digits than its factorization.

32132120104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776482 (or 1776478 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 32132120104 its reverse (40102123123), we get a palindrome (72234243227).

The spelling of 32132120104 in words is "thirty-two billion, one hundred thirty-two million, one hundred twenty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 133 136 152 238 266 323 476 532 646 952 1064 1292 2261 2584 4522 9044 18088 1776433 3552866 7105732 12435031 14211464 24870062 30199361 33752227 49740124 60398722 67504454 99480248 120797444 135008908 211395527 236265589 241594888 270017816 422791054 472531178 573787859 845582108 945062356 1147575718 1691164216 1890124712 2295151436 4016515013 4590302872 8033030026 16066060052 32132120104