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32133142132 = 227133118115733
BaseRepresentation
bin11101111011010010…
…001101011001110100
310001221102011202021021
4131323102031121310
51011302041022012
622432312430524
72215201126060
oct357322153164
9101842152237
1032133142132
111269a359313
1262893a8444
1330512b8190
1417ab880aa0
15c8103b007
hex77b48d674

32133142132 has 96 divisors (see below), whose sum is σ = 71841695744. Its totient is φ = 12233203200.

The previous prime is 32133142099. The next prime is 32133142147. The reversal of 32133142132 is 23124133123.

It is a junction number, because it is equal to n+sod(n) for n = 32133142097 and 32133142106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2034538 + ... + 2050270.

Almost surely, 232133142132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32133142132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35920847872).

32133142132 is an abundant number, since it is smaller than the sum of its proper divisors (39708553612).

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

32133142132 is a wasteful number, since it uses less digits than its factorization.

32133142132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15969 (or 15967 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

Adding to 32133142132 its reverse (23124133123), we get a palindrome (55257275255).

Subtracting from 32133142132 its reverse (23124133123), we obtain a palindrome (9009009009).

The spelling of 32133142132 in words is "thirty-two billion, one hundred thirty-three million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 181 182 217 362 364 403 434 724 806 868 1267 1612 2353 2534 2821 4706 5068 5611 5642 9412 11222 11284 15733 16471 22444 31466 32942 39277 62932 65884 72943 78554 110131 145886 157108 204529 220262 291772 409058 440524 487723 510601 818116 975446 1021202 1431703 1950892 2042404 2847673 2863406 3414061 5695346 5726812 6340399 6828122 11390692 12680798 13656244 19933711 25361596 37019749 39867422 44382793 74039498 79734844 88277863 88765586 148078996 176555726 177531172 259138243 353111452 518276486 617945041 1036552972 1147612219 1235890082 2295224438 2471780164 4590448876 8033285533 16066571066 32133142132