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100112221020 = 22357238362431
BaseRepresentation
bin101110100111100100…
…1110100001101011100
3100120101222210202112210
41131033021310031130
53120012212033040
6113554012200420
710142605560330
oct1351711641534
9316358722483
10100112221020
1139503814449
121749b469110
139595b41a06
144bb9d137c0
15290e005480
hex174f27435c

100112221020 has 48 divisors (see below), whose sum is σ = 320359108608. Its totient is φ = 22882793280.

The previous prime is 100112221007. The next prime is 100112221021. The reversal of 100112221020 is 20122211001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100112220987 and 100112221005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112221021) 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, 119180796 + ... + 119181635.

It is an arithmetic number, because the mean of its divisors is an integer number (6674148096).

Almost surely, 2100112221020 is an apocalyptic number.

100112221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112221020 is an abundant number, since it is smaller than the sum of its proper divisors (220246887588).

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

100112221020 is a wasteful number, since it uses less digits than its factorization.

100112221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238362450 (or 238362448 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100112221020 its reverse (20122211001), we get a palindrome (120234432021).

The spelling of 100112221020 in words is "one hundred billion, one hundred twelve million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 238362431 476724862 715087293 953449724 1191812155 1430174586 1668537017 2383624310 2860349172 3337074034 3575436465 4767248620 5005611051 6674148068 7150872930 8342685085 10011222102 14301745860 16685370170 20022444204 25028055255 33370740340 50056110510 100112221020