Search a number
-
+
100102112102022 = 2335961975076997
BaseRepresentation
bin10110110000101011010110…
…110101010100011010000110
3111010102200001022020202211020
4112300223112311110122012
5101110033111144231042
6552522135255252010
730041065440530502
oct2660532665243206
9433380038222736
10100102112102022
1129994081696838
12b28856297a006
1343b17863bcaa4
141aa0d7a58d302
15b88d441623ec
hex5b0ad6d54686

100102112102022 has 32 divisors (see below), whose sum is σ = 201086231443200. Its totient is φ = 33220669806048.

The previous prime is 100102112102009. The next prime is 100102112102033. The reversal of 100102112102022 is 220201211201001.

It is a junction number, because it is equal to n+sod(n) for n = 100102112101992 and 100102112102010.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 36205173 + ... + 38871824.

It is an arithmetic number, because the mean of its divisors is an integer number (6283944732600).

Almost surely, 2100102112102022 is an apocalyptic number.

100102112102022 is an abundant number, since it is smaller than the sum of its proper divisors (100984119341178).

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

100102112102022 is a wasteful number, since it uses less digits than its factorization.

100102112102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75077980.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100102112102022 its reverse (220201211201001), we get a palindrome (320303323303023).

The spelling of 100102112102022 in words is "one hundred trillion, one hundred two billion, one hundred twelve million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 359 619 718 1077 1238 1857 2154 3714 222221 444442 666663 1333326 75076997 150153994 225230991 450461982 26952641923 46472661143 53905283846 80857925769 92945322286 139417983429 161715851538 278835966858 16683685350337 33367370700674 50051056051011 100102112102022