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12020010100 = 22527137125339
BaseRepresentation
bin10110011000111001…
…01100110001110100
31011000200202210001021
423030130230301310
5144104110310400
65304422310524
7603603254140
oct131434546164
934020683037
1012020010100
115108a8954a
1223b5588444
13119734c717
1482054a220
154a53c471a
hex2cc72cc74

12020010100 has 72 divisors (see below), whose sum is σ = 30027453120. Its totient is φ = 4091032320.

The previous prime is 12020010053. The next prime is 12020010113. The reversal of 12020010100 is 101002021.

12020010100 is digitally balanced in base 2, 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 (7).

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 23 ways as a sum of consecutive naturals, for example, 33231 + ... + 158569.

It is an arithmetic number, because the mean of its divisors is an integer number (417047960).

Almost surely, 212020010100 is an apocalyptic number.

12020010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15013726560).

12020010100 is an abundant number, since it is smaller than the sum of its proper divisors (18007443020).

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

12020010100 is a wasteful number, since it uses less digits than its factorization.

12020010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125497 (or 125490 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12020010100 its reverse (101002021), we get a palindrome (12121012121).

The spelling of 12020010100 in words is "twelve billion, twenty million, ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 137 140 175 274 350 548 685 700 959 1370 1918 2740 3425 3836 4795 6850 9590 13700 19180 23975 47950 95900 125339 250678 501356 626695 877373 1253390 1754746 2506780 3133475 3509492 4386865 6266950 8773730 12533900 17171443 17547460 21934325 34342886 43868650 68685772 85857215 87737300 120200101 171714430 240400202 343428860 429286075 480800404 601000505 858572150 1202001010 1717144300 2404002020 3005002525 6010005050 12020010100