Search a number
-
+
10302102000 = 24325317131257
BaseRepresentation
bin10011001100000110…
…11001100111110000
3222120222020000011100
421212003121213300
5132044314231000
64422133444400
7513203264541
oct114603314760
928528200140
1010302102000
1144072a4793
121bb61a0700
13c82472c58
146da3224c8
15404684a00
hex2660d99f0

10302102000 has 480 divisors, whose sum is σ = 38538586944. Its totient is φ = 2555904000.

The previous prime is 10302101977. The next prime is 10302102011. The reversal of 10302102000 is 20120301.

It is a happy number.

It is a super-2 number, since 2×103021020002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40085872 + ... + 40086128.

Almost surely, 210302102000 is an apocalyptic number.

10302102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10302102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19269293472).

10302102000 is an abundant number, since it is smaller than the sum of its proper divisors (28236484944).

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

10302102000 is a wasteful number, since it uses less digits than its factorization.

10302102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10302102000 its reverse (20120301), we get a palindrome (10322222301).

The spelling of 10302102000 in words is "ten billion, three hundred two million, one hundred two thousand".