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32130211203123 = 311313249607339
BaseRepresentation
bin1110100111000111001011…
…10100110100100000110011
311012202121200122220002021220
413103203211310310200303
513202410133031444443
6152200225410120123
76524221405016205
oct723434564644063
9135677618802256
1032130211203123
11a268389656000
12372b072880043
1314c0b345557b7
147d11793a2775
153aaba9438a83
hex1d38e5d34833

32130211203123 has 32 divisors (see below), whose sum is σ = 47124725280000. Its totient is φ = 19471353454080.

The previous prime is 32130211203119. The next prime is 32130211203131.

32130211203123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32130211203123 - 22 = 32130211203119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32130211203093 and 32130211203102.

It is not an unprimeable number, because it can be changed into a prime (32130211203193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52599588 + ... + 53206926.

It is an arithmetic number, because the mean of its divisors is an integer number (1472647665000).

Almost surely, 232130211203123 is an apocalyptic number.

32130211203123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

32130211203123 is a deficient number, since it is larger than the sum of its proper divisors (14994514076877).

32130211203123 is a wasteful number, since it uses less digits than its factorization.

32130211203123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620624 (or 620602 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 3213021 and 1203123, that added together give a palindrome (4416144).

The spelling of 32130211203123 in words is "thirty-two trillion, one hundred thirty billion, two hundred eleven million, two hundred three thousand, one hundred twenty-three".

Divisors: 1 3 11 33 121 363 1331 3993 13249 39747 145739 437217 607339 1603129 1822017 4809387 6680729 17634419 20042187 52903257 73488019 220464057 808368209 2425104627 8046634411 24139903233 88512978521 265538935563 973642763731 2920928291193 10710070401041 32130211203123