Search a number
-
+
102102002020212 = 22317500500009903
BaseRepresentation
bin10111001101110001111001…
…100011111010111101110100
3111101111212010001221212221020
4113031301321203322331310
5101340314400004121322
61001053002345021140
730335424535413405
oct2715617143727564
9441455101855836
10102102002020212
112a59524138a517
12b550075a847b0
1344c823cbc079c
141b2da985859ac
15bc0d9264805c
hex5cdc798faf74

102102002020212 has 24 divisors (see below), whose sum is σ = 252252004991616. Its totient is φ = 32032000633728.

The previous prime is 102102002020157. The next prime is 102102002020219. The reversal of 102102002020212 is 212020200201201.

It is a junction number, because it is equal to n+sod(n) for n = 102102002020191 and 102102002020200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102002020219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250250004748 + ... + 250250005155.

It is an arithmetic number, because the mean of its divisors is an integer number (10510500207984).

Almost surely, 2102102002020212 is an apocalyptic number.

102102002020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102102002020212 is an abundant number, since it is smaller than the sum of its proper divisors (150150002971404).

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

102102002020212 is a wasteful number, since it uses less digits than its factorization.

102102002020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500500009927 (or 500500009925 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102102002020212 its reverse (212020200201201), we get a palindrome (314122202221413).

The spelling of 102102002020212 in words is "one hundred two trillion, one hundred two billion, two million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 500500009903 1001000019806 1501500029709 2002000039612 3003000059418 6006000118836 8508500168351 17017000336702 25525500505053 34034000673404 51051001010106 102102002020212