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101040332300442 = 2345147121178503
BaseRepresentation
bin10110111110010101001001…
…000111010110000010011010
3111020202100202111002002210000
4112332111021013112002122
5101220421100032103232
6554521142102233430
730165631424611113
oct2676251107260232
9436670674062700
10101040332300442
112a215a67516377
12b3ba362a25876
13444c0a7290c02
141ad4541a0720a
15ba3456cac27c
hex5be5491d609a

101040332300442 has 40 divisors (see below), whose sum is σ = 226449178708896. Its totient is φ = 33673566849768.

The previous prime is 101040332300437. The next prime is 101040332300473. The reversal of 101040332300442 is 244003233040101.

101040332300442 is a `hidden beast` number, since 10 + 10 + 4 + 0 + 332 + 300 + 4 + 4 + 2 = 666.

It is a super-3 number, since 3×1010403323004423 (a number of 43 digits) contains 333 as substring.

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

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 19 ways as a sum of consecutive naturals, for example, 59755438 + ... + 61423065.

Almost surely, 2101040332300442 is an apocalyptic number.

101040332300442 is an abundant number, since it is smaller than the sum of its proper divisors (125408846408454).

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

101040332300442 is a wasteful number, since it uses less digits than its factorization.

101040332300442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121183664 (or 121183655 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 101040332300442 its reverse (244003233040101), we get a palindrome (345043565340543).

The spelling of 101040332300442 in words is "one hundred one trillion, forty billion, three hundred thirty-two million, three hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 5147 10294 15441 30882 46323 92646 138969 277938 416907 833814 121178503 242357006 363535509 727071018 1090606527 2181213054 3271819581 6543639162 9815458743 19630917486 623705754941 1247411509882 1871117264823 3742234529646 5613351794469 11226703588938 16840055383407 33680110766814 50520166150221 101040332300442