Search a number
-
+
102100102021020 = 22351701668367017
BaseRepresentation
bin10111001101110000001000…
…010011111111111110011100
3111101111200012122202221000210
4113031300020103333332130
5101340302002104133040
61001052050033252420
730335326464606225
oct2715601023777634
9441450178687023
10102100102021020
112a594456934a54
12b54b825704110
1344c7cc938a3cc
141b2d9580bc24c
15bc0cd093a480
hex5cdc084fff9c

102100102021020 has 24 divisors (see below), whose sum is σ = 285880285659024. Its totient is φ = 27226693872256.

The previous prime is 102100102020991. The next prime is 102100102021033. The reversal of 102100102021020 is 20120201001201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102100102020987 and 102100102021005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 850834183449 + ... + 850834183568.

It is an arithmetic number, because the mean of its divisors is an integer number (11911678569126).

Almost surely, 2102100102021020 is an apocalyptic number.

102100102021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100102021020 is an abundant number, since it is smaller than the sum of its proper divisors (183780183638004).

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

102100102021020 is a wasteful number, since it uses less digits than its factorization.

102100102021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701668367029 (or 1701668367027 counting only the distinct ones).

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

Adding to 102100102021020 its reverse (20120201001201), we get a palindrome (122220303022221).

The spelling of 102100102021020 in words is "one hundred two trillion, one hundred billion, one hundred two million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1701668367017 3403336734034 5105005101051 6806673468068 8508341835085 10210010202102 17016683670170 20420020404204 25525025505255 34033367340340 51050051010510 102100102021020