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101420403323140 = 2251123101198451069
BaseRepresentation
bin10111000011110111000111…
…000111001111000100000100
3111022002200210021202112100101
4113003313013013033010010
5101243132441222320030
6555411520131253444
730235245066161356
oct2703670707170404
9438080707675311
10101420403323140
112a3521737190a0
12b45bb53a4a284
134478b97b60795
141b08ab90d10d6
15bad29dcb87ca
hex5c3dc71cf104

101420403323140 has 96 divisors (see below), whose sum is σ = 244847342557440. Its totient is φ = 34927387968000.

The previous prime is 101420403323047. The next prime is 101420403323149. The reversal of 101420403323140 is 41323304024101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101420403323099 and 101420403323108.

It is not an unprimeable number, because it can be changed into a prime (101420403323149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 98714475 + ... + 99736594.

It is an arithmetic number, because the mean of its divisors is an integer number (2550493151640).

Almost surely, 2101420403323140 is an apocalyptic number.

101420403323140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101420403323140 is an abundant number, since it is smaller than the sum of its proper divisors (143426939234300).

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

101420403323140 is a wasteful number, since it uses less digits than its factorization.

101420403323140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198451213 (or 198451211 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 101420403323140 its reverse (41323304024101), we get a palindrome (142743707347241).

The spelling of 101420403323140 in words is "one hundred one trillion, four hundred twenty billion, four hundred three million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 101 110 115 202 220 230 253 404 460 505 506 1010 1012 1111 1265 2020 2222 2323 2530 4444 4646 5060 5555 9292 11110 11615 22220 23230 25553 46460 51106 102212 127765 255530 511060 198451069 396902138 793804276 992255345 1984510690 2182961759 3969021380 4365923518 4564374587 8731847036 9128749174 10914808795 18257498348 20043557969 21829617590 22821872935 40087115938 43659235180 45643745870 50208120457 80174231876 91287491740 100217789845 100416240914 200435579690 200832481828 220479137659 251040602285 400871159380 440958275318 461001833287 502081204570 881916550636 922003666574 1004162409140 1102395688295 1844007333148 2204791376590 2305009166435 4409582753180 4610018332870 5071020166157 9220036665740 10142040332314 20284080664628 25355100830785 50710201661570 101420403323140