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100110100208 = 24173727735911
BaseRepresentation
bin101110100111100000…
…1101110011011110000
3100120101211211000100012
41131033001232123300
53120011141201313
6113553454514052
710142551545236
oct1351701563360
9316354730305
10100110100208
11395025a6008
121749a805928
13959557b5b1
144bb9920956
15290dc36da8
hex174f06e6f0

100110100208 has 80 divisors (see below), whose sum is σ = 211690897344. Its totient is φ = 45670625280.

The previous prime is 100110100199. The next prime is 100110100213. The reversal of 100110100208 is 802001011001.

It is a junction number, because it is equal to n+sod(n) for n = 100110100192 and 100110100201.

It is a congruent number.

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, 2769773 + ... + 2805683.

Almost surely, 2100110100208 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 100110100208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105845448672).

100110100208 is an abundant number, since it is smaller than the sum of its proper divisors (111580797136).

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

100110100208 is a wasteful number, since it uses less digits than its factorization.

100110100208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36250 (or 36244 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100110100208 its reverse (802001011001), we get a palindrome (902111111209).

The spelling of 100110100208 in words is "one hundred billion, one hundred ten million, one hundred thousand, two hundred eight".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 277 296 554 592 629 1108 1258 2216 2516 4432 4709 5032 9418 10064 10249 18836 20498 35911 37672 40996 71822 75344 81992 143644 163984 174233 287288 348466 574576 610487 696932 1220974 1328707 1393864 2441948 2657414 2787728 4883896 5314828 9767792 9947347 10629656 19894694 21259312 22588019 39789388 45176038 79578776 90352076 159157552 169104899 180704152 338209798 361408304 368051839 676419596 736103678 1352839192 1472207356 2705678384 2944414712 5888829424 6256881263 12513762526 25027525052 50055050104 100110100208