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130424431144100 = 225211311541985057
BaseRepresentation
bin11101101001111011001101…
…111000110110110010100100
3122002210110020212002100222112
4131221323031320312302210
5114043333213333102400
61141220053450220152
736320565663000032
oct3551731570666244
9562713225070875
10130424431144100
113861476624a805
1212765166124658
1357a0c81616ac2
14242c80cd4b552
15101298ac49835
hex769ecde36ca4

130424431144100 has 36 divisors (see below), whose sum is σ = 285525626364804. Its totient is φ = 51708093050880.

The previous prime is 130424431144003. The next prime is 130424431144109. The reversal of 130424431144100 is 1441134424031.

It can be written as a sum of positive squares in 6 ways, for example, as 11802577798144 + 118621853345956 = 3435488^2 + 10891366^2 .

It is not an unprimeable number, because it can be changed into a prime (130424431144109) 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, 5770981229 + ... + 5771003828.

Almost surely, 2130424431144100 is an apocalyptic number.

130424431144100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130424431144100 is an abundant number, since it is smaller than the sum of its proper divisors (155101195220704).

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

130424431144100 is a wasteful number, since it uses less digits than its factorization.

130424431144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11541985184 (or 11541985177 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 130424431144100 its reverse (1441134424031), we get a palindrome (131865565568131).

The spelling of 130424431144100 in words is "one hundred thirty trillion, four hundred twenty-four billion, four hundred thirty-one million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 11300 11541985057 23083970114 46167940228 57709925285 115419850570 230839701140 288549626425 577099252850 1154198505700 1304244311441 2608488622882 5216977245764 6521221557205 13042443114410 26084886228820 32606107786025 65212215572050 130424431144100