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100100112220 = 225101127390193
BaseRepresentation
bin101110100111001101…
…1100111111101011100
3100120101011000120101201
41131032123213331130
53120001112042340
6113552500445244
710142400625603
oct1351633477534
9316334016351
10100100112220
11394a79a3979
12174973a9824
139593492344
144bb8480a3a
15290ce1279a
hex174e6e7f5c

100100112220 has 48 divisors (see below), whose sum is σ = 213963660288. Its totient is φ = 39331353600.

The previous prime is 100100112179. The next prime is 100100112227. The reversal of 100100112220 is 22211001001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100100112197 and 100100112206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100112227) 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, 61444 + ... + 451636.

It is an arithmetic number, because the mean of its divisors is an integer number (4457576256).

Almost surely, 2100100112220 is an apocalyptic number.

100100112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100112220 is an abundant number, since it is smaller than the sum of its proper divisors (113863548068).

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

100100112220 is a wasteful number, since it uses less digits than its factorization.

100100112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390430 (or 390428 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100100112220 its reverse (22211001001), we get a palindrome (122311113221).

The spelling of 100100112220 in words is "one hundred billion, one hundred million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 127 202 254 404 505 508 635 1010 1270 2020 2540 12827 25654 51308 64135 128270 256540 390193 780386 1560772 1950965 3901930 7803860 39409493 49554511 78818986 99109022 157637972 197047465 198218044 247772555 394094930 495545110 788189860 991090220 5005005611 10010011222 20020022444 25025028055 50050056110 100100112220