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32120132331 = 373149339681
BaseRepresentation
bin11101111010100000…
…100101001011101011
310001220111200210011210
4131322200211023223
51011240223213311
622431125524203
72214652422450
oct357240451353
9101814623153
1032120132331
1112692a82911
126284b73663
13304b6b1681
1417a9c55827
15c7ed1b3a6
hex77a8252eb

32120132331 has 16 divisors (see below), whose sum is σ = 50523834368. Its totient is φ = 17762284800.

The previous prime is 32120132323. The next prime is 32120132353. The reversal of 32120132331 is 13323102123.

It is not a de Polignac number, because 32120132331 - 23 = 32120132323 is a prime.

It is a super-2 number, since 2×321201323312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 32120132298 and 32120132307.

It is not an unprimeable number, because it can be changed into a prime (32120132311) 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, 24669190 + ... + 24670491.

It is an arithmetic number, because the mean of its divisors is an integer number (3157739648).

Almost surely, 232120132331 is an apocalyptic number.

32120132331 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

32120132331 is a deficient number, since it is larger than the sum of its proper divisors (18403702037).

32120132331 is a wasteful number, since it uses less digits than its factorization.

32120132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49339722.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 32120132331 its reverse (13323102123), we get a palindrome (45443234454).

It can be divided in two parts, 32120 and 132331, that added together give a triangular number (164451 = T573).

The spelling of 32120132331 in words is "thirty-two billion, one hundred twenty million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 21 31 93 217 651 49339681 148019043 345377767 1036133301 1529530111 4588590333 10706710777 32120132331