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200120100032 = 2653173341027
BaseRepresentation
bin1011101001100000010…
…1100110010011000000
3201010112201021101202202
42322120011212103000
511234321221200112
6231533420132332
720313106532606
oct2723005462300
9633481241682
10200120100032
1177963641126
123294b9970a8
1315b4317c798
149986025876
155313c996c2
hex2e981664c0

200120100032 has 56 divisors (see below), whose sum is σ = 406945984176. Its totient is φ = 97604369408.

The previous prime is 200120100001. The next prime is 200120100053. The reversal of 200120100032 is 230001021002.

It is a happy number.

200120100032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200120099986 and 200120100022.

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, 416303 + ... + 757329.

Almost surely, 2200120100032 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 200120100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203472992088).

200120100032 is an abundant number, since it is smaller than the sum of its proper divisors (206825884144).

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

200120100032 is a wasteful number, since it uses less digits than its factorization.

200120100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341265 (or 341255 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 200120100032 its reverse (230001021002), we get a palindrome (430121121034).

The spelling of 200120100032 in words is "two hundred billion, one hundred twenty million, one hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 53 64 106 173 212 346 424 692 848 1384 1696 2768 3392 5536 9169 11072 18338 36676 73352 146704 293408 341027 586816 682054 1364108 2728216 5456432 10912864 18074431 21825728 36148862 58997671 72297724 117995342 144595448 235990684 289190896 471981368 578381792 943962736 1156763584 1887925472 3126876563 3775850944 6253753126 12507506252 25015012504 50030025008 100060050016 200120100032