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213100012002042 = 232111193902148103
BaseRepresentation
bin110000011101000000110110…
…100001000101101011111010
31000221112011101020100200210200
4300131000312201011223322
5210412412311033031132
62033120443302223030
762612652645143124
oct6035006641055372
91027464336320720
10213100012002042
116199a2312a6490
121ba98262a24a76
1391ba325099919
143a8a14a512214
151998348a31d7c
hexc1d036845afa

213100012002042 has 48 divisors (see below), whose sum is σ = 504113143330368. Its totient is φ = 64521632255040.

The previous prime is 213100012002029. The next prime is 213100012002047. The reversal of 213100012002042 is 240200210001312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213100012002047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450837838 + ... + 451310265.

It is an arithmetic number, because the mean of its divisors is an integer number (10502357152716).

Almost surely, 2213100012002042 is an apocalyptic number.

213100012002042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

213100012002042 is an abundant number, since it is smaller than the sum of its proper divisors (291013131328326).

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

213100012002042 is a wasteful number, since it uses less digits than its factorization.

213100012002042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902149315 (or 902149312 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 213100012002042 its reverse (240200210001312), we get a palindrome (453300222003354).

The spelling of 213100012002042 in words is "two hundred thirteen trillion, one hundred billion, twelve million, two thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1193 2386 3579 7158 10737 13123 21474 26246 39369 78738 118107 236214 902148103 1804296206 2706444309 5412888618 8119332927 9923629133 16238665854 19847258266 29770887399 59541774798 89312662197 178625324394 1076262686879 2152525373758 3228788060637 6457576121274 9686364181911 11838889555669 19372728363822 23677779111338 35516668667007 71033337334014 106550006001021 213100012002042