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2120101020 = 223353926113
BaseRepresentation
bin111111001011110…
…0010110010011100
312110202100021212000
41332113202302130
513320221213040
6550213042300
7103352363352
oct17627426234
95422307760
102120101020
11998818304
124b2026390
1327a30825b
141617dd7d2
15c61d8130
hex7e5e2c9c

2120101020 has 48 divisors (see below), whose sum is σ = 6595871520. Its totient is φ = 565360128.

The previous prime is 2120101003. The next prime is 2120101031. The reversal of 2120101020 is 201010212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2120100993 and 2120101011.

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, 1962517 + ... + 1963596.

It is an arithmetic number, because the mean of its divisors is an integer number (137413990).

Almost surely, 22120101020 is an apocalyptic number.

2120101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120101020 is an abundant number, since it is smaller than the sum of its proper divisors (4475770500).

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

2120101020 is a wasteful number, since it uses less digits than its factorization.

2120101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926131 (or 3926123 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2120101020 is about 46044.5547269164. The cubic root of 2120101020 is about 1284.6520620252.

Adding to 2120101020 its reverse (201010212), we get a palindrome (2321111232).

The spelling of 2120101020 in words is "two billion, one hundred twenty million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 3926113 7852226 11778339 15704452 19630565 23556678 35335017 39261130 47113356 58891695 70670034 78522260 106005051 117783390 141340068 176675085 212010102 235566780 353350170 424020204 530025255 706700340 1060050510 2120101020