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100105111000050 = 23521351335954359
BaseRepresentation
bin10110110000101110001001…
…100101001101001111110010
3111010102221210022012120112120
4112300232021211031033302
5101110110231404000200
6552523353024135110
730041232653663442
oct2660561145151762
9433387708176476
10100105111000050
1129995380474262
12b28905b167496
1343b1b437a9870
141aa118298a122
15b88e6c5899a0
hex5b0b8994d3f2

100105111000050 has 48 divisors (see below), whose sum is σ = 267357650306880. Its totient is φ = 24641258091840.

The previous prime is 100105111000039. The next prime is 100105111000067. The reversal of 100105111000050 is 50000111501001.

100105111000050 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1001051110000502 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 100105110999993 and 100105111000029.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25667975230 + ... + 25667979129.

It is an arithmetic number, because the mean of its divisors is an integer number (5569951048060).

Almost surely, 2100105111000050 is an apocalyptic number.

100105111000050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100105111000050 is an abundant number, since it is smaller than the sum of its proper divisors (167252539306830).

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

100105111000050 is a wasteful number, since it uses less digits than its factorization.

100105111000050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51335954387 (or 51335954382 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 100105111000050 its reverse (50000111501001), we get a palindrome (150105222501051).

The spelling of 100105111000050 in words is "one hundred trillion, one hundred five billion, one hundred eleven million, fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950 51335954359 102671908718 154007863077 256679771795 308015726154 513359543590 667367406667 770039315385 1283398858975 1334734813334 1540078630770 2002102220001 2566797717950 3336837033335 3850196576925 4004204440002 6673674066670 7700393153850 10010511100005 16684185166675 20021022200010 33368370333350 50052555500025 100105111000050