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100344043740 = 22351924632689
BaseRepresentation
bin101110101110011111…
…0001001100011011100
3100121000011000120112110
41131130332021203130
53121001033344430
6114033013034020
710151422204323
oct1353476114334
9317004016473
10100344043740
1139612662276
1217545025910
139601b8b815
144bdca1b0ba
1529245487b0
hex175cf898dc

100344043740 has 72 divisors (see below), whose sum is σ = 296529221520. Its totient is φ = 25350068736.

The previous prime is 100344043739. The next prime is 100344043801. The reversal of 100344043740 is 47340443001.

It is a super-2 number, since 2×1003440437402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100344043698 and 100344043707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2294685 + ... + 2338004.

It is an arithmetic number, because the mean of its divisors is an integer number (4118461410).

Almost surely, 2100344043740 is an apocalyptic number.

100344043740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100344043740 is an abundant number, since it is smaller than the sum of its proper divisors (196185177780).

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

100344043740 is a wasteful number, since it uses less digits than its factorization.

100344043740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632739 (or 4632718 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

Adding to 100344043740 its reverse (47340443001), we get a palindrome (147684486741).

The spelling of 100344043740 in words is "one hundred billion, three hundred forty-four million, forty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1083 1140 1444 1805 2166 3610 4332 5415 7220 10830 21660 4632689 9265378 13898067 18530756 23163445 27796134 46326890 55592268 69490335 88021091 92653780 138980670 176042182 264063273 277961340 352084364 440105455 528126546 880210910 1056253092 1320316365 1672400729 1760421820 2640632730 3344801458 5017202187 5281265460 6689602916 8362003645 10034404374 16724007290 20068808748 25086010935 33448014580 50172021870 100344043740