Search a number
-
+
42122104101 = 32711103590119
BaseRepresentation
bin100111001110101011…
…000100110100100101
311000201120011121001200
4213032223010310211
51142231224312401
631203422513113
73020552656140
oct471653046445
9130646147050
1042122104101
1116955914290
1281b6735799
133c8390c46c
14207836d057
151167e68686
hex9ceac4d25

42122104101 has 48 divisors (see below), whose sum is σ = 76592855040. Its totient is φ = 21669132960.

The previous prime is 42122104061. The next prime is 42122104109. The reversal of 42122104101 is 10140122124.

42122104101 is a `hidden beast` number, since 42 + 1 + 2 + 210 + 410 + 1 = 666.

42122104101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42122104101 - 214 = 42122087717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42122104109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223681 + ... + 366438.

It is an arithmetic number, because the mean of its divisors is an integer number (1595684480).

Almost surely, 242122104101 is an apocalyptic number.

It is an amenable number.

42122104101 is a deficient number, since it is larger than the sum of its proper divisors (34470750939).

42122104101 is a wasteful number, since it uses less digits than its factorization.

42122104101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590246 (or 590243 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 42122104101 its reverse (10140122124), we get a palindrome (52262226225).

The spelling of 42122104101 in words is "forty-two billion, one hundred twenty-two million, one hundred four thousand, one hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 99 103 231 309 693 721 927 1133 2163 3399 6489 7931 10197 23793 71379 590119 1770357 4130833 5311071 6491309 12392499 19473927 37177497 45439163 58421781 60782257 136317489 182346771 408952467 425475799 547040313 668604827 1276427397 2005814481 3829282191 4680233789 6017443443 14040701367 42122104101