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101342012304 = 243132361115757
BaseRepresentation
bin101111001100001110…
…1000110001110010000
3100200120200212122001010
41132120131012032100
53130022023343204
6114320023010520
710215230614551
oct1363035061620
9320520778033
10101342012304
1139a84a18885
1217783299a40
139730867170
144c9539a328
152981e77d89
hex1798746390

101342012304 has 160 divisors (see below), whose sum is σ = 299022361344. Its totient is φ = 29337200640.

The previous prime is 101342012251. The next prime is 101342012329. The reversal of 101342012304 is 403210243101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817594 + ... + 933350.

Almost surely, 2101342012304 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 101342012304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149511180672).

101342012304 is an abundant number, since it is smaller than the sum of its proper divisors (197680349040).

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

101342012304 is a wasteful number, since it uses less digits than its factorization.

101342012304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115865 (or 115859 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101342012304 its reverse (403210243101), we get a palindrome (504552255405).

The spelling of 101342012304 in words is "one hundred one billion, three hundred forty-two million, twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 61 69 78 92 104 122 138 156 183 184 208 244 276 299 312 366 368 488 552 598 624 732 793 897 976 1104 1196 1403 1464 1586 1794 2379 2392 2806 2928 3172 3588 4209 4758 4784 5612 6344 7176 8418 9516 11224 12688 14352 16836 18239 19032 22448 33672 36478 38064 54717 67344 72956 109434 115757 145912 218868 231514 291824 347271 437736 463028 694542 875472 926056 1389084 1504841 1852112 2662411 2778168 3009682 4514523 5324822 5556336 6019364 7061177 7987233 9029046 10649644 12038728 14122354 15974466 18058092 21183531 21299288 24077456 28244708 31948932 34611343 36116184 42367062 42598576 56489416 63897864 69222686 72232368 84734124 91795301 103834029 112978832 127795728 138445372 162407071 169468248 183590602 207668058 275385903 276890744 324814142 338936496 367181204 415336116 487221213 550771806 553781488 649628284 734362408 830672232 974442426 1101543612 1299256568 1468724816 1661344464 1948884852 2111291923 2203087224 2598513136 3897769704 4222583846 4406174448 6333875769 7795539408 8445167692 12667751538 16890335384 25335503076 33780670768 50671006152 101342012304