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100122003120 = 2435417175013
BaseRepresentation
bin101110100111110111…
…1001000011010110000
3100120102200012202001210
41131033233020122300
53120022213044440
6113555002000120
710143054661506
oct1351757103260
9316380182053
10100122003120
1139509295927
12174a27a6040
139597b88339
144bbb33c676
15290ecd8a80
hex174fbc86b0

100122003120 has 40 divisors (see below), whose sum is σ = 310378210416. Its totient is φ = 26699200768.

The previous prime is 100122003119. The next prime is 100122003127. The reversal of 100122003120 is 21300221001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1001220031202 (a number of 23 digits) contains 22 as substring.

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 = 100122003096 and 100122003105.

It is not an unprimeable number, because it can be changed into a prime (100122003127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208587267 + ... + 208587746.

Almost surely, 2100122003120 is an apocalyptic number.

100122003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122003120 is an abundant number, since it is smaller than the sum of its proper divisors (210256207296).

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

100122003120 is a wasteful number, since it uses less digits than its factorization.

100122003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417175029 (or 417175023 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100122003120 its reverse (21300221001), we get a palindrome (121422224121).

The spelling of 100122003120 in words is "one hundred billion, one hundred twenty-two million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 417175013 834350026 1251525039 1668700052 2085875065 2503050078 3337400104 4171750130 5006100156 6257625195 6674800208 8343500260 10012200312 12515250390 16687000520 20024400624 25030500780 33374001040 50061001560 100122003120