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21211112212122 = 2371729707440073
BaseRepresentation
bin1001101001010100110001…
…10011110000011010011010
32210002202120212202110222010
410310222120303300122122
510240010324211241442
6113040130032010350
74316311063664550
oct464523063603232
983082525673863
1021211112212122
116838644964608
122466a326909b6
13bab278b24291
145348a2505bd0
1526bb3a3c8b9c
hex134a98cf069a

21211112212122 has 32 divisors (see below), whose sum is σ = 51334456447872. Its totient is φ = 5703828493824.

The previous prime is 21211112212117. The next prime is 21211112212127. The reversal of 21211112212122 is 22121221111212.

It is an interprime number because it is at equal distance from previous prime (21211112212117) and next prime (21211112212127).

It is a super-2 number, since 2×212111122121222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21211112212127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14853719323 + ... + 14853720750.

It is an arithmetic number, because the mean of its divisors is an integer number (1604201763996).

Almost surely, 221211112212122 is an apocalyptic number.

21211112212122 is an abundant number, since it is smaller than the sum of its proper divisors (30123344235750).

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

21211112212122 is a wasteful number, since it uses less digits than its factorization.

21211112212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29707440102.

The product of its digits is 128, while the sum is 21.

Adding to 21211112212122 its reverse (22121221111212), we get a palindrome (43332333323334).

The spelling of 21211112212122 in words is "twenty-one trillion, two hundred eleven billion, one hundred twelve million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 29707440073 59414880146 89122320219 178244640438 207952080511 415904161022 505026481241 623856241533 1010052962482 1247712483066 1515079443723 3030158887446 3535185368687 7070370737374 10605556106061 21211112212122