Search a number
-
+
10302556104 = 2333174371919
BaseRepresentation
bin10011001100001010…
…01000011111001000
3222121000002002002000
421212011020133020
5132044423243404
64422151311000
7513210165501
oct114605103710
928530062060
1010302556104
114407584985
121bb637b460
13c825a1859
146da3ddba8
15404724339
hex2661487c8

10302556104 has 256 divisors, whose sum is σ = 31477248000. Its totient is φ = 3109155840.

The previous prime is 10302556093. The next prime is 10302556127. The reversal of 10302556104 is 40165520301.

10302556104 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 2 + 556 + 104 = 666.

It is a super-2 number, since 2×103025561042 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11210157 + ... + 11211075.

It is an arithmetic number, because the mean of its divisors is an integer number (122958000).

Almost surely, 210302556104 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 10302556104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15738624000).

10302556104 is an abundant number, since it is smaller than the sum of its proper divisors (21174691896).

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

10302556104 is a wasteful number, since it uses less digits than its factorization.

10302556104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 10302556104 in words is "ten billion, three hundred two million, five hundred fifty-six thousand, one hundred four".