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130133301324 = 223133725311497
BaseRepresentation
bin111100100110010001…
…1001001100001001100
3110102220012202122122220
41321030203021201030
54113003111120244
6135441000135340
712254552544645
oct1711443114114
9412805678586
10130133301324
1150209946414
1221279467550
13c36b6a7b60
1464270886cc
1535b98e5319
hex1e4c8c984c

130133301324 has 144 divisors (see below), whose sum is σ = 342449257248. Its totient is φ = 38220429312.

The previous prime is 130133301323. The next prime is 130133301407. The reversal of 130133301324 is 423103331031.

It is a happy number.

It is a super-2 number, since 2×1301333013242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130133301294 and 130133301303.

It is not an unprimeable number, because it can be changed into a prime (130133301323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11313144 + ... + 11324640.

It is an arithmetic number, because the mean of its divisors is an integer number (2378119842).

Almost surely, 2130133301324 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 130133301324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171224628624).

130133301324 is an abundant number, since it is smaller than the sum of its proper divisors (212315955924).

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

130133301324 is a wasteful number, since it uses less digits than its factorization.

130133301324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11644 (or 11605 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 130133301324 its reverse (423103331031), we get a palindrome (553236632355).

The spelling of 130133301324 in words is "one hundred thirty billion, one hundred thirty-three million, three hundred one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 53 74 78 106 111 148 156 159 212 222 318 444 481 636 689 962 1369 1378 1443 1924 1961 2067 2738 2756 2886 3922 4107 4134 5476 5772 5883 7844 8214 8268 11497 11766 16428 17797 22994 23532 25493 34491 35594 45988 50986 53391 68982 71188 72557 76479 101972 106782 137964 145114 149461 152958 213564 217671 290228 298922 305916 425389 435342 448383 597844 609341 850778 870684 896766 943241 1218682 1276167 1701556 1793532 1828023 1886482 2437364 2552334 2829723 3656046 3772964 5104668 5530057 5659446 7312092 7921433 11060114 11318892 15739393 15842866 16590171 22120228 22545617 23764299 31478786 31685732 33180342 45091234 47218179 47528598 62957572 66360684 67636851 90182468 94436358 95057196 135273702 188872716 204612109 270547404 293093021 409224218 586186042 613836327 818448436 834187829 879279063 1172372084 1227672654 1668375658 1758558126 2455345308 2502563487 3336751316 3517116252 5005126974 10010253948 10844441777 21688883554 32533325331 43377767108 65066650662 130133301324