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100101012042 = 23171928533187
BaseRepresentation
bin101110100111001111…
…1000011101001001010
3100120101012201021201110
41131032133003221022
53120001324341132
6113552532031150
710142411364153
oct1351637035112
9316335637643
10100101012042
11394a8458a29
12174977624b6
139593718a95
144bb863692a
15290d03e1cc
hex174e7c3a4a

100101012042 has 96 divisors (see below), whose sum is σ = 224055139392. Its totient is φ = 29707181568.

The previous prime is 100101012013. The next prime is 100101012043. The reversal of 100101012042 is 240210101001.

It is a happy number.

It is a super-2 number, since 2×1001010120422 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100101012043) 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, 31407573 + ... + 31410759.

It is an arithmetic number, because the mean of its divisors is an integer number (2333907702).

Almost surely, 2100101012042 is an apocalyptic number.

100101012042 is an abundant number, since it is smaller than the sum of its proper divisors (123954127350).

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

100101012042 is a wasteful number, since it uses less digits than its factorization.

100101012042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100101012042 its reverse (240210101001), we get a palindrome (340311113043).

The spelling of 100101012042 in words is "one hundred billion, one hundred one million, twelve thousand, forty-two".

Divisors: 1 2 3 6 17 19 34 38 51 57 102 114 323 361 646 722 853 969 1083 1706 1938 2166 2559 3187 5118 6137 6374 9561 12274 14501 16207 18411 19122 29002 32414 36822 43503 48621 54179 60553 87006 97242 108358 121106 162537 181659 275519 307933 325074 363318 551038 615866 826557 923799 1029401 1150507 1653114 1847598 2058802 2301014 2718511 3088203 3451521 5234861 5437022 6176406 6903042 8155533 10469722 15704583 16311066 19558619 31409166 39117238 46214687 51651709 58675857 92429374 103303418 117351714 138644061 154955127 277288122 309910254 878079053 981382471 1756158106 1962764942 2634237159 2944147413 5268474318 5888294826 16683502007 33367004014 50050506021 100101012042