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130203796800 = 263527111512333
BaseRepresentation
bin111100101000011000…
…0000100010101000000
3110110002010102012021110
41321100300010111000
54113124132444200
6135451555123320
712256400004060
oct1712060042500
9413063365243
10130203796800
1150245715740
1221298ba3540
13c38018b05c
1464325993a0
1535c0bbcb50
hex1e50c04540

130203796800 has 672 divisors, whose sum is σ = 536341100544. Its totient is φ = 26864640000.

The previous prime is 130203796763. The next prime is 130203796829. The reversal of 130203796800 is 8697302031.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1302037968002 (a number of 23 digits) contains 22 as substring.

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, 55808434 + ... + 55810766.

Almost surely, 2130203796800 is an apocalyptic number.

130203796800 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 130203796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268170550272).

130203796800 is an abundant number, since it is smaller than the sum of its proper divisors (406137303744).

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

130203796800 is a wasteful number, since it uses less digits than its factorization.

130203796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 130203796800 in words is "one hundred thirty billion, two hundred three million, seven hundred ninety-six thousand, eight hundred".