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1122232041414 = 233113160944501
BaseRepresentation
bin10000010101001010001…
…111011111111111000110
310222021200021120111012000
4100111022033133333012
5121341312400311124
62215313555210130
7144035645650551
oct20251217377706
93867607514160
101122232041414
113a2a32804840
121615b52a6946
1381a97a22773
143c45ddab698
151e2d26676c9
hex1054a3dffc6

1122232041414 has 64 divisors (see below), whose sum is σ = 2808322652160. Its totient is φ = 329100300000.

The previous prime is 1122232041397. The next prime is 1122232041421. The reversal of 1122232041414 is 4141402322211.

1122232041414 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 232 + 0 + 414 + 14 = 666.

It is a super-2 number, since 2×11222320414142 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30453837 + ... + 30490664.

It is an arithmetic number, because the mean of its divisors is an integer number (43880041440).

Almost surely, 21122232041414 is an apocalyptic number.

1122232041414 is an abundant number, since it is smaller than the sum of its proper divisors (1686090610746).

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

1122232041414 is a wasteful number, since it uses less digits than its factorization.

1122232041414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60944554 (or 60944548 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1122232041414 its reverse (4141402322211), we get a palindrome (5263634363625).

The spelling of 1122232041414 in words is "one trillion, one hundred twenty-two billion, two hundred thirty-two million, forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 2046 3069 6138 9207 18414 60944501 121889002 182833503 365667006 548500509 670389511 1097001018 1340779022 1645501527 1889279531 2011168533 3291003054 3778559062 4022337066 5667838593 6033505599 11335677186 12067011198 17003515779 18100516797 20782074841 34007031558 36201033594 41564149682 51010547337 62346224523 102021094674 124692449046 187038673569 374077347138 561116020707 1122232041414