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100107447704 = 231153103208387
BaseRepresentation
bin101110100111011011…
…1100110110110011000
3100120101122211020210022
41131032313212312120
53120010001311304
6113553322010012
710142520160055
oct1351667466630
9316348736708
10100107447704
1139501054160
1217499946908
139594b60174
144bb943002c
15290d8b0ebe
hex174ede6d98

100107447704 has 64 divisors (see below), whose sum is σ = 210655261440. Its totient is φ = 44211173760.

The previous prime is 100107447683. The next prime is 100107447707. The reversal of 100107447704 is 407744701001.

100107447704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100107447707) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376199 + ... + 584585.

It is an arithmetic number, because the mean of its divisors is an integer number (3291488460).

Almost surely, 2100107447704 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 100107447704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105327630720).

100107447704 is an abundant number, since it is smaller than the sum of its proper divisors (110547813736).

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

100107447704 is a wasteful number, since it uses less digits than its factorization.

100107447704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208560 (or 208556 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 35.

The spelling of 100107447704 in words is "one hundred billion, one hundred seven million, four hundred forty-seven thousand, seven hundred four".

Divisors: 1 2 4 8 11 22 44 53 88 103 106 206 212 412 424 583 824 1133 1166 2266 2332 4532 4664 5459 9064 10918 21836 43672 60049 120098 208387 240196 416774 480392 833548 1667096 2292257 4584514 9169028 11044511 18338056 21463861 22089022 42927722 44178044 85855444 88356088 121489621 171710888 236102471 242979242 472204942 485958484 944409884 971916968 1137584633 1888819768 2275169266 4550338532 9100677064 12513430963 25026861926 50053723852 100107447704