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12020102100 = 22325213355669
BaseRepresentation
bin10110011000111010…
…00011001111010100
31011000200221110020200
423030131003033110
5144104121231400
65304424300500
7603604116306
oct131435031724
934020843220
1012020102100
115109041686
1223b5611730
131197382566
14820571976
154a53e1b00
hex2cc7433d4

12020102100 has 54 divisors (see below), whose sum is σ = 37676345070. Its totient is φ = 3205360320.

The previous prime is 12020102057. The next prime is 12020102147. The reversal of 12020102100 is 120102021.

12020102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 590781636 + 11429320464 = 24306^2 + 106908^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6676935 + ... + 6678734.

Almost surely, 212020102100 is an apocalyptic number.

12020102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020102100 is an abundant number, since it is smaller than the sum of its proper divisors (25656242970).

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

12020102100 is a wasteful number, since it uses less digits than its factorization.

12020102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13355689 (or 13355679 counting only the distinct ones).

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

Adding to 12020102100 its reverse (120102021), we get a palindrome (12140204121).

The spelling of 12020102100 in words is "twelve billion, twenty million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 13355669 26711338 40067007 53422676 66778345 80134014 120201021 133556690 160268028 200335035 240402042 267113380 333891725 400670070 480804084 601005105 667783450 801340140 1001675175 1202010210 1335566900 2003350350 2404020420 3005025525 4006700700 6010051050 12020102100