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211102002012 = 223114337192037
BaseRepresentation
bin1100010010011010101…
…0001110101101011100
3202011220001122211012010
43010212222032231130
511424314103031022
6240551240311220
721152206260546
oct3044652165534
9664801584163
10211102002012
1181589638680
1234ab5772510
1316ba340b635
14a308744696
155757e6150c
hex3126a8eb5c

211102002012 has 48 divisors (see below), whose sum is σ = 549847089792. Its totient is φ = 62482620480.

The previous prime is 211102001993. The next prime is 211102002019. The reversal of 211102002012 is 210200201112.

211102002012 is digitally balanced in base 2 and base 3, because in such bases 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (211102002019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18590343 + ... + 18601694.

It is an arithmetic number, because the mean of its divisors is an integer number (11455147704).

Almost surely, 2211102002012 is an apocalyptic number.

211102002012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211102002012 is an abundant number, since it is smaller than the sum of its proper divisors (338745087780).

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

211102002012 is a wasteful number, since it uses less digits than its factorization.

211102002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37192098 (or 37192096 counting only the distinct ones).

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

Adding to 211102002012 its reverse (210200201112), we get a palindrome (421302203124).

Subtracting from 211102002012 its reverse (210200201112), we obtain a square (901800900 = 300302).

The spelling of 211102002012 in words is "two hundred eleven billion, one hundred two million, two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2838 5676 37192037 74384074 111576111 148768148 223152222 409112407 446304444 818224814 1227337221 1599257591 1636449628 2454674442 3198515182 4797772773 4909348884 6397030364 9595545546 17591833501 19191091092 35183667002 52775500503 70367334004 105551001006 211102002012