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1129222142001 = 325910326976753
BaseRepresentation
bin10000011011101010111…
…000100111100000110001
310222221201102200101112100
4100123222320213200301
5122000121332021001
62222431341251013
7144404114556552
oct20335270474061
93887642611470
101129222142001
113a599a507878
12162a26263a69
138263cc70865
143c9244ac329
151e591178586
hex106eae27831

1129222142001 has 48 divisors (see below), whose sum is σ = 1681096809600. Its totient is φ = 730136249856.

The previous prime is 1129222141969. The next prime is 1129222142039. The reversal of 1129222142001 is 1002412229211.

1129222142001 is a `hidden beast` number, since 1 + 12 + 9 + 2 + 221 + 420 + 0 + 1 = 666.

It is not a de Polignac number, because 1129222142001 - 25 = 1129222141969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1129222142051) 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 47 ways as a sum of consecutive naturals, for example, 14674041 + ... + 14750793.

It is an arithmetic number, because the mean of its divisors is an integer number (35022850200).

Almost surely, 21129222142001 is an apocalyptic number.

It is an amenable number.

1129222142001 is a deficient number, since it is larger than the sum of its proper divisors (551874667599).

1129222142001 is a wasteful number, since it uses less digits than its factorization.

1129222142001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77190 (or 77187 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 1129222142001 in words is "one trillion, one hundred twenty-nine billion, two hundred twenty-two million, one hundred forty-two thousand, one".

Divisors: 1 3 9 59 103 177 269 309 531 807 927 2421 6077 15871 18231 27707 47613 54693 76753 83121 142839 230259 249363 690777 1634713 4528427 4904139 7905559 13585281 14712417 20646557 23716677 40755843 61939671 71150031 185819013 466427981 1218146863 1399283943 2126595371 3654440589 4197851829 6379786113 10963321767 19139358339 125469126889 376407380667 1129222142001