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130542524244 = 2232111036414993
BaseRepresentation
bin111100110010011110…
…0001101011101010100
3110110221201210022222100
41321210330031131110
54114322341233434
6135545335202100
712300652101456
oct1714474153524
9413851708870
10130542524244
11503a9940680
1221372516330
13c4053c83b2
1464655702d6
1535e07cb699
hex1e64f0d754

130542524244 has 144 divisors (see below), whose sum is σ = 364115816064. Its totient is φ = 39105331200.

The previous prime is 130542524227. The next prime is 130542524269. The reversal of 130542524244 is 442425245031.

130542524244 is a `hidden beast` number, since 1 + 30 + 542 + 5 + 2 + 42 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130542524199 and 130542524208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26142612 + ... + 26147604.

It is an arithmetic number, because the mean of its divisors is an integer number (2528582056).

Almost surely, 2130542524244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130542524244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182057908032).

130542524244 is an abundant number, since it is smaller than the sum of its proper divisors (233573291820).

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

130542524244 is a wasteful number, since it uses less digits than its factorization.

130542524244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5758 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 130542524244 its reverse (442425245031), we get a palindrome (572967769275).

The spelling of 130542524244 in words is "one hundred thirty billion, five hundred forty-two million, five hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 103 132 198 206 309 396 412 618 641 927 1133 1236 1282 1854 1923 2266 2564 3399 3708 3846 4532 4993 5769 6798 7051 7692 9986 10197 11538 13596 14102 14979 19972 20394 21153 23076 28204 29958 40788 42306 44937 54923 59916 63459 66023 84612 89874 109846 126918 132046 164769 179748 198069 219692 253836 264092 329538 396138 494307 514279 594207 659076 726253 792276 988614 1028558 1188414 1452506 1542837 1977228 2057116 2178759 2376828 2905012 3085674 3200513 4357518 4628511 5657069 6171348 6401026 6536277 8715036 9257022 9601539 11314138 12802052 13072554 16971207 18514044 19203078 22628276 26145108 28804617 33942414 35205643 38406156 50913621 57609234 67884828 70411286 101827242 105616929 115218468 140822572 203654484 211233858 316850787 329652839 422467716 633701574 659305678 988958517 1267403148 1318611356 1977917034 2966875551 3626181229 3955834068 5933751102 7252362458 10878543687 11867502204 14504724916 21757087374 32635631061 43514174748 65271262122 130542524244