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130555002400 = 2552347470299
BaseRepresentation
bin111100110010110101…
…1110011111000100000
3110110222121021021210021
41321211223303320200
54114334040034100
6135550502443224
712301163132104
oct1714553637040
9413877237707
10130555002400
11504059936a9
1221376733514
13c407b76c14
14646709b904
1535e1943a1a
hex1e65af3e20

130555002400 has 72 divisors (see below), whose sum is σ = 319636573200. Its totient is φ = 52071394560.

The previous prime is 130555002379. The next prime is 130555002407. The reversal of 130555002400 is 4200555031.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (130555002407) 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, 42451 + ... + 512749.

It is an arithmetic number, because the mean of its divisors is an integer number (4439396850).

Almost surely, 2130555002400 is an apocalyptic number.

130555002400 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 130555002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159818286600).

130555002400 is an abundant number, since it is smaller than the sum of its proper divisors (189081570800).

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

130555002400 is a wasteful number, since it uses less digits than its factorization.

130555002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470666 (or 470653 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 130555002400 its reverse (4200555031), we get a palindrome (134755557431).

The spelling of 130555002400 in words is "one hundred thirty billion, five hundred fifty-five million, two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 347 400 694 800 1388 1735 2776 3470 5552 6940 8675 11104 13880 17350 27760 34700 55520 69400 138800 277600 470299 940598 1881196 2351495 3762392 4702990 7524784 9405980 11757475 15049568 18811960 23514950 37623920 47029900 75247840 94059800 163193753 188119600 326387506 376239200 652775012 815968765 1305550024 1631937530 2611100048 3263875060 4079843825 5222200096 6527750120 8159687650 13055500240 16319375300 26111000480 32638750600 65277501200 130555002400