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100200243014032 = 24716316057341821
BaseRepresentation
bin10110110010000110101111…
…111001000010100110010000
3111010210001100012212121100211
4112302012233321002212100
5101113140044202422112
6553035204533253504
730051141300524050
oct2662065771024620
9433701305777324
10100200243014032
1129a21758a6a417
12b2a358a794294
1343baac48ccab5
141aa5a092b1560
15b8b6892480a7
hex5b21afe42990

100200243014032 has 80 divisors (see below), whose sum is σ = 223247700038272. Its totient is φ = 42676724689920.

The previous prime is 100200243014021. The next prime is 100200243014087. The reversal of 100200243014032 is 230410342002001.

It is a junction number, because it is equal to n+sod(n) for n = 100200243013994 and 100200243014012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292965682 + ... + 293307502.

Almost surely, 2100200243014032 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 100200243014032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111623850019136).

100200243014032 is an abundant number, since it is smaller than the sum of its proper divisors (123047457024240).

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

100200243014032 is a wasteful number, since it uses less digits than its factorization.

100200243014032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358056 (or 358050 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 100200243014032 its reverse (230410342002001), we get a palindrome (330610585016033).

The spelling of 100200243014032 in words is "one hundred trillion, two hundred billion, two hundred forty-three million, fourteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 163 326 652 1141 1304 2282 2608 4564 9128 16057 18256 32114 64228 112399 128456 224798 256912 341821 449596 683642 899192 1367284 1798384 2392747 2617291 2734568 4785494 5234582 5469136 9570988 10469164 18321037 19141976 20938328 36642074 38283952 41876656 55716823 73284148 111433646 146568296 222867292 293136592 390017761 445734584 780035522 891469168 1560071044 3120142088 5488619797 6240284176 10977239594 21954479188 38420338579 43908958376 76840677158 87817916752 153681354316 307362708632 614725417264 894645026911 1789290053822 3578580107644 6262515188377 7157160215288 12525030376754 14314320430576 25050060753508 50100121507016 100200243014032