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42123011032124 = 2211979869496493
BaseRepresentation
bin10011001001111100001110…
…00111000000010000111100
312112010220212001201202100022
421210332013013000100330
521010120411311011444
6225331013310351312
711605200324055361
oct1144760707002074
9175126761652308
1042123011032124
11124702a5645a80
12488387b1bb538
131a6724ba90cb9
14a58a9c14a468
154d0ab21c29ee
hex264f871c043c

42123011032124 has 24 divisors (see below), whose sum is σ = 81245695138608. Its totient is φ = 18949433264640.

The previous prime is 42123011032087. The next prime is 42123011032129.

It is a happy number.

42123011032124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42123011032093 and 42123011032102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42123011032129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4934743979 + ... + 4934752514.

It is an arithmetic number, because the mean of its divisors is an integer number (3385237297442).

Almost surely, 242123011032124 is an apocalyptic number.

42123011032124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42123011032124 is a deficient number, since it is larger than the sum of its proper divisors (39122684106484).

42123011032124 is a wasteful number, since it uses less digits than its factorization.

42123011032124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9869496605 (or 9869496603 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 4212301 and 1032124, that added together give a palindrome (5244425).

The spelling of 42123011032124 in words is "forty-two trillion, one hundred twenty-three billion, eleven million, thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 44 97 194 388 1067 2134 4268 9869496493 19738992986 39477985972 108564461423 217128922846 434257845692 957341159821 1914682319642 3829364639284 10530752758031 21061505516062 42123011032124