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130523221704976 = 241117225572
BaseRepresentation
bin11101101011010111001110…
…010000111100000100010000
3122010010220020201221211122121
4131223113032100330010100
5114101443024224024401
61141333312410544024
736330664052624662
oct3553271620740420
9563126221854577
10130523221704976
1138652650a12341
1212780336a38014
1357aa3966a8899
142433501502532
15101531dbd1ca1
hex76b5ce43c110

130523221704976 has 45 divisors (see below), whose sum is σ = 253214372584719. Its totient is φ = 65177685182592.

The previous prime is 130523221704973. The next prime is 130523221704991. The reversal of 130523221704976 is 679407122325031.

The square root of 130523221704976 is 11424676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 47121030754576 + 83402190950400 = 6864476^2 + 9132480^2 .

It is a super-2 number, since 2×1305232217049762 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130523221704973) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51045451090 + ... + 51045453646.

Almost surely, 2130523221704976 is an apocalyptic number.

130523221704976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

130523221704976 is the 11424676-th square number.

It is an amenable number.

130523221704976 is a deficient number, since it is larger than the sum of its proper divisors (122691150879743).

130523221704976 is an frugal number, since it uses more digits than its factorization.

130523221704976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7356 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 130523221704976 in words is "one hundred thirty trillion, five hundred twenty-three billion, two hundred twenty-one million, seven hundred four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 1117 2234 2557 4468 5114 8936 10228 17872 20456 40912 1247689 2495378 2856169 4990756 5712338 6538249 9981512 11424676 13076498 19963024 22849352 26152996 45698704 52305992 104611984 3190340773 6380681546 7303224133 12761363092 14606448266 25522726184 29212896532 51045452368 58425793064 116851586128 8157701356561 16315402713122 32630805426244 65261610852488 130523221704976