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100843922432 = 2101110938191
BaseRepresentation
bin101110111101011000…
…1000010010000000000
3100122021222122001012002
41131322301002100000
53123012021004212
6114154351123132
710200002124521
oct1357261022000
9318258561162
10100843922432
1139849846560
12176645134a8
139681600626
144c49180848
15295338aac2
hex177ac42400

100843922432 has 88 divisors (see below), whose sum is σ = 220143747072. Its totient is φ = 45790617600.

The previous prime is 100843922423. The next prime is 100843922449. The reversal of 100843922432 is 234229348001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12307457 + ... + 12315647.

Almost surely, 2100843922432 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 100843922432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110071873536).

100843922432 is an abundant number, since it is smaller than the sum of its proper divisors (119299824640).

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

100843922432 is a wasteful number, since it uses less digits than its factorization.

100843922432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9315 (or 9297 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 100843922432 in words is "one hundred billion, eight hundred forty-three million, nine hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1093 1408 2186 2816 4372 5632 8191 8744 11264 12023 16382 17488 24046 32764 34976 48092 65528 69952 90101 96184 131056 139904 180202 192368 262112 279808 360404 384736 524224 559616 720808 769472 1048448 1119232 1441616 1538944 2096896 2883232 3077888 4193792 5766464 6155776 8387584 8952763 11532928 12311552 17905526 23065856 35811052 46131712 71622104 92263424 98480393 143244208 196960786 286488416 393921572 572976832 787843144 1145953664 1575686288 2291907328 3151372576 4583814656 6302745152 9167629312 12605490304 25210980608 50421961216 100843922432