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32130121133131 = 722328729992357
BaseRepresentation
bin1110100111000111000000…
…11101001110110001001011
311012202121110101102001111021
413103203200131032301023
513202404442002230011
6152200212431413311
76524216232312400
oct723434035166113
9135677411361437
1032130121133131
11a26834282709a
12372b048684237
1314c0b1b9aaa48
147d116b4382a7
153aaba1596471
hex1d38e074ec4b

32130121133131 has 24 divisors (see below), whose sum is σ = 39002289225120. Its totient is φ = 26341764527232.

The previous prime is 32130121133101. The next prime is 32130121133137. The reversal of 32130121133131 is 13133112103123.

It is not a de Polignac number, because 32130121133131 - 217 = 32130121002059 is a prime.

It is a super-2 number, since 2×321301211331312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32130121133096 and 32130121133105.

It is not an unprimeable number, because it can be changed into a prime (32130121133137) 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 23 ways as a sum of consecutive naturals, for example, 31881405 + ... + 32873761.

It is an arithmetic number, because the mean of its divisors is an integer number (1625095384380).

Almost surely, 232130121133131 is an apocalyptic number.

32130121133131 is a deficient number, since it is larger than the sum of its proper divisors (6872168091989).

32130121133131 is a wasteful number, since it uses less digits than its factorization.

32130121133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021123 (or 1021116 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 32130121133131 its reverse (13133112103123), we get a palindrome (45263233236254).

The spelling of 32130121133131 in words is "thirty-two trillion, one hundred thirty billion, one hundred twenty-one million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 7 23 49 161 1127 28729 201103 660767 992357 1407721 4625369 6946499 22824211 32377583 48625493 159769477 1118386339 28509424253 199565969771 655716757819 1396961788397 4590017304733 32130121133131