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100420122434301 = 3310734759474709
BaseRepresentation
bin10110110101010011100001…
…101110011101101011111101
3111011120001212222210110211000
4112311103201232131223331
5101130240402320344201
6553324211204320513
730103054151000415
oct2665234156355375
9434501788713730
10100420122434301
1129aa6a3119226a
12b31a1139a3139
134405766628b37
141ab250764b645
15b92257a6ad86
hex5b54e1b9dafd

100420122434301 has 16 divisors (see below), whose sum is σ = 150160930747200. Its totient is φ = 66321077742864.

The previous prime is 100420122434249. The next prime is 100420122434329. The reversal of 100420122434301 is 103434221024001.

100420122434301 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 0 + 1 + 224 + 3 + 430 + 1 = 666.

It is not a de Polignac number, because 100420122434301 - 27 = 100420122434173 is a prime.

It is a super-2 number, since 2×1004201224343012 (a number of 29 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 not an unprimeable number, because it can be changed into a prime (100420122434351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17379734466 + ... + 17379740243.

It is an arithmetic number, because the mean of its divisors is an integer number (9385058171700).

Almost surely, 2100420122434301 is an apocalyptic number.

It is an amenable number.

100420122434301 is a deficient number, since it is larger than the sum of its proper divisors (49740808312899).

100420122434301 is a wasteful number, since it uses less digits than its factorization.

100420122434301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34759474825 (or 34759474819 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100420122434301 its reverse (103434221024001), we get a palindrome (203854343458302).

The spelling of 100420122434301 in words is "one hundred trillion, four hundred twenty billion, one hundred twenty-two million, four hundred thirty-four thousand, three hundred one".

Divisors: 1 3 9 27 107 321 963 2889 34759474709 104278424127 312835272381 938505817143 3719263793863 11157791381589 33473374144767 100420122434301