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101102003400420 = 2233511211221336451
BaseRepresentation
bin10110111111001110100100…
…111111111010111011100100
3111020222020221110010120202000
4112333032210333322323210
5101222423400332303140
6555005341424045300
730203243615403321
oct2677164477727344
9436866843116660
10101102003400420
112a23a1342175a0
12b40a2b4463830
134454b54cb9249
141ad75123bbb48
15ba4d660a5a30
hex5bf3a4ffaee4

101102003400420 has 384 divisors, whose sum is σ = 344925551093760. Its totient is φ = 24381725760000.

The previous prime is 101102003400397. The next prime is 101102003400449. The reversal of 101102003400420 is 24004300201101.

101102003400420 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 200 + 3 + 40 + 0 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101102003400393 and 101102003400402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2773623195 + ... + 2773659645.

It is an arithmetic number, because the mean of its divisors is an integer number (898243622640).

Almost surely, 2101102003400420 is an apocalyptic number.

101102003400420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102003400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172462775546880).

101102003400420 is an abundant number, since it is smaller than the sum of its proper divisors (243823547693340).

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

101102003400420 is a wasteful number, since it uses less digits than its factorization.

101102003400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38904 (or 38896 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101102003400420 its reverse (24004300201101), we get a palindrome (125106303601521).

The spelling of 101102003400420 in words is "one hundred one trillion, one hundred two billion, three million, four hundred thousand, four hundred twenty".