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210122100120 = 23353061572041
BaseRepresentation
bin1100001110110001000…
…0001100110110011000
3202002100202210122111110
43003230100030312120
511420312224200440
6240310113500320
721116010244662
oct3035420146630
9662322718443
10210122100120
11811264a18a9
12348815716a0
1316a783ba42a
14a254549532
1556ebe00080
hex30ec40cd98

210122100120 has 64 divisors (see below), whose sum is σ = 630573337440. Its totient is φ = 56014156800.

The previous prime is 210122100103. The next prime is 210122100121. The reversal of 210122100120 is 21001221012.

210122100120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 210122100096 and 210122100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210122100121) 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, 81300 + ... + 653340.

Almost surely, 2210122100120 is an apocalyptic number.

210122100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210122100120 is an abundant number, since it is smaller than the sum of its proper divisors (420451237320).

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

210122100120 is a wasteful number, since it uses less digits than its factorization.

210122100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575116 (or 575112 counting only the distinct ones).

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

Adding to 210122100120 its reverse (21001221012), we get a palindrome (231123321132).

The spelling of 210122100120 in words is "two hundred ten billion, one hundred twenty-two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3061 6122 9183 12244 15305 18366 24488 30610 36732 45915 61220 73464 91830 122440 183660 367320 572041 1144082 1716123 2288164 2860205 3432246 4576328 5720410 6864492 8580615 11440820 13728984 17161230 22881640 34322460 68644920 1751017501 3502035002 5253052503 7004070004 8755087505 10506105006 14008140008 17510175010 21012210012 26265262515 35020350020 42024420024 52530525030 70040700040 105061050060 210122100120