Search a number
-
+
212512015044 = 22347232177127
BaseRepresentation
bin1100010111101010110…
…1000000001011000100
3202022112022211220110000
43011322231000023010
511440211033440134
6241343210001300
721232150215660
oct3057255001304
9668468756400
10212512015044
11821425462aa
1235229a16230
1317069584884
14a3ddb018a0
1557dbb32e99
hex317ab402c4

212512015044 has 180 divisors, whose sum is σ = 663721288384. Its totient is φ = 58077489888.

The previous prime is 212512015007. The next prime is 212512015069. The reversal of 212512015044 is 440510215212.

It is a happy number.

It is a super-2 number, since 2×2125120150442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212512014999 and 212512015017.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1111209 + ... + 1288335.

Almost surely, 2212512015044 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 212512015044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331860644192).

212512015044 is an abundant number, since it is smaller than the sum of its proper divisors (451209273340).

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

212512015044 is a wasteful number, since it uses less digits than its factorization.

212512015044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177196 (or 177162 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 212512015044 in words is "two hundred twelve billion, five hundred twelve million, fifteen thousand, forty-four".