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42124312202103 = 36314094557433
BaseRepresentation
bin10011001001111110101001…
…01010100100101101110111
312112011001012202010001000000
421210333110222210231313
521010131042410431403
6225331350351122343
711605244503611015
oct1144772452445567
9175131182101000
1042124312202103
111247090307226a
124883b82b133b3
131a673c8518671
14a58b82c938b5
154d0b3b5447a3
hex264fd4aa4b77

42124312202103 has 56 divisors (see below), whose sum is σ = 65354332749440. Its totient is φ = 27110522292480.

The previous prime is 42124312202099. The next prime is 42124312202117. The reversal of 42124312202103 is 30120221342124.

42124312202103 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 431 + 220 + 2 + 1 + 0 + 3 = 666.

It is not a de Polignac number, because 42124312202103 - 22 = 42124312202099 is a prime.

It is a super-3 number, since 3×421243122021033 (a number of 42 digits) contains 333 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 (42124312206103) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6964275 + ... + 11521707.

It is an arithmetic number, because the mean of its divisors is an integer number (1167041656240).

Almost surely, 242124312202103 is an apocalyptic number.

42124312202103 is a deficient number, since it is larger than the sum of its proper divisors (23230020547337).

42124312202103 is an equidigital number, since it uses as much as digits as its factorization.

42124312202103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4557891 (or 4557876 counting only the distinct ones).

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

Adding to 42124312202103 its reverse (30120221342124), we get a palindrome (72244533544227).

The spelling of 42124312202103 in words is "forty-two trillion, one hundred twenty-four billion, three hundred twelve million, two hundred two thousand, one hundred three".

Divisors: 1 3 9 27 31 81 93 243 279 409 729 837 1227 2511 3681 7533 11043 12679 22599 33129 38037 99387 114111 298161 342333 1026999 3080997 4557433 9242991 13672299 41016897 123050691 141280423 369152073 423841269 1107456219 1271523807 1863990097 3322368657 3814571421 5591970291 11443714263 16775910873 34331142789 50327732619 57783693007 102993428367 150983197857 173351079021 452949593571 520053237063 1358848780713 1560159711189 4680479133567 14041437400701 42124312202103