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101362630512 = 243111322366221
BaseRepresentation
bin101111001100110101…
…1101111111101110000
3100200122010200010220110
41132121223233331300
53130042313134022
6114322040541320
710215601100133
oct1363153577560
9320563603813
10101362630512
1139a95620620
121778a181840
139734c05aa0
144c9800621a
152983b9c00c
hex1799aeff70

101362630512 has 160 divisors (see below), whose sum is σ = 309016221696. Its totient is φ = 28225612800.

The previous prime is 101362630483. The next prime is 101362630519. The reversal of 101362630512 is 215036263101.

It is a self number, because there is not a number n which added to its sum of digits gives 101362630512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101362630519) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1497562 + ... + 1563782.

Almost surely, 2101362630512 is an apocalyptic number.

101362630512 is a gapful number since it is divisible by the number (12) 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 101362630512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154508110848).

101362630512 is an abundant number, since it is smaller than the sum of its proper divisors (207653591184).

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

101362630512 is a wasteful number, since it uses less digits than its factorization.

101362630512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66479 (or 66473 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 101362630512 its reverse (215036263101), we get a palindrome (316398893613).

The spelling of 101362630512 in words is "one hundred one billion, three hundred sixty-two million, six hundred thirty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 223 264 286 312 429 446 528 572 624 669 858 892 1144 1338 1716 1784 2288 2453 2676 2899 3432 3568 4906 5352 5798 6864 7359 8697 9812 10704 11596 14718 17394 19624 23192 29436 31889 34788 39248 46384 58872 63778 66221 69576 95667 117744 127556 132442 139152 191334 198663 255112 264884 382668 397326 510224 529768 728431 765336 794652 860873 1059536 1456862 1530672 1589304 1721746 2185293 2582619 2913724 3178608 3443492 4370586 5165238 5827448 6886984 8741172 9469603 10330476 11654896 13773968 14767283 17482344 18939206 20660952 28408809 29534566 34964688 37878412 41321904 44301849 56817618 59069132 75756824 88603698 113635236 118138264 151513648 162440113 177207396 191974679 227270472 236276528 324880226 354414792 383949358 454540944 487320339 575924037 649760452 708829584 767898716 974640678 1151848074 1299520904 1535797432 1949281356 2111721469 2303696148 2599041808 3071594864 3898562712 4223442938 4607392296 6335164407 7797125424 8446885876 9214784592 12670328814 16893771752 25340657628 33787543504 50681315256 101362630512