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132130013201312 = 2571135220054251
BaseRepresentation
bin11110000010101111101010…
…100000000100001110100000
3122022211111122210122002011012
4132002233222200010032200
5114304304231334420222
61145003405021040052
736555035621165630
oct3602575240041640
9568744583562135
10132130013201312
1139112029914515
121299b8220b6028
135895a64663ab9
14248b1abb926c0
1510420116461e2
hex782bea8043a0

132130013201312 has 48 divisors (see below), whose sum is σ = 299923437102912. Its totient is φ = 56126023296000.

The previous prime is 132130013201311. The next prime is 132130013201401. The reversal of 132130013201312 is 213102310031231.

It is not an unprimeable number, because it can be changed into a prime (132130013201311) 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 7 ways as a sum of consecutive naturals, for example, 2610001814 + ... + 2610052437.

It is an arithmetic number, because the mean of its divisors is an integer number (6248404939644).

Almost surely, 2132130013201312 is an apocalyptic number.

It is an amenable number.

132130013201312 is an abundant number, since it is smaller than the sum of its proper divisors (167793423901600).

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

132130013201312 is a wasteful number, since it uses less digits than its factorization.

132130013201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220054381 (or 5220054373 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 132130013201312 its reverse (213102310031231), we get a palindrome (345232323232543).

The spelling of 132130013201312 in words is "one hundred thirty-two trillion, one hundred thirty billion, thirteen million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 113 224 226 452 791 904 1582 1808 3164 3616 6328 12656 25312 5220054251 10440108502 20880217004 36540379757 41760434008 73080759514 83520868016 146161519028 167041736032 292323038056 584646076112 589866130363 1169292152224 1179732260726 2359464521452 4129062912541 4718929042904 8258125825082 9437858085808 16516251650164 18875716171616 33032503300328 66065006600656 132130013201312