Search a number
-
+
33130101132 = 22326115086567
BaseRepresentation
bin11110110110101101…
…010011100110001100
310011111220010111220200
4132312231103212030
51020322301214012
623115245013500
72251665133062
oct366655234614
9104456114820
1033130101132
1113061095377
126507254290
13317c9cc14b
14186403a032
15cdd81b3dc
hex7b6b5398c

33130101132 has 36 divisors (see below), whose sum is σ = 85118416656. Its totient is φ = 10862327520.

The previous prime is 33130101131. The next prime is 33130101133. The reversal of 33130101132 is 23110103133.

It is a happy number.

33130101132 is a `hidden beast` number, since 331 + 301 + 0 + 1 + 1 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (33130101131) and next prime (33130101133).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (33130101131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7541088 + ... + 7545479.

Almost surely, 233130101132 is an apocalyptic number.

It is an amenable number.

33130101132 is an abundant number, since it is smaller than the sum of its proper divisors (51988315524).

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

33130101132 is a wasteful number, since it uses less digits than its factorization.

33130101132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15086638 (or 15086633 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 33130101132 its reverse (23110103133), we get a palindrome (56240204265).

The spelling of 33130101132 in words is "thirty-three billion, one hundred thirty million, one hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 15086567 30173134 45259701 60346268 90519402 135779103 181038804 271558206 543116412 920280587 1840561174 2760841761 3681122348 5521683522 8282525283 11043367044 16565050566 33130101132