Search a number
-
+
100100212212120 = 2335834168435101
BaseRepresentation
bin10110110000101001100101…
…100101110100000110011000
3111010102111010220021100211120
4112300221211211310012120
5101110020213311241440
6552521222550125240
730041000400660051
oct2660514545640630
9433374126240746
10100100212212120
112999329720639a
12b288112650820
1343b15428c7393
141aa0c3a113728
15b88c82476dd0
hex5b0a65974198

100100212212120 has 32 divisors (see below), whose sum is σ = 300300636636720. Its totient is φ = 26693389923200.

The previous prime is 100100212212107. The next prime is 100100212212163. The reversal of 100100212212120 is 21212212001001.

It is a super-2 number, since 2×1001002122121202 (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 self number, because there is not a number n which added to its sum of digits gives 100100212212120.

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, 417084217431 + ... + 417084217670.

Almost surely, 2100100212212120 is an apocalyptic number.

100100212212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100212212120 is an abundant number, since it is smaller than the sum of its proper divisors (200200424424600).

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

100100212212120 is a wasteful number, since it uses less digits than its factorization.

100100212212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834168435115 (or 834168435111 counting only the distinct ones).

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

Adding to 100100212212120 its reverse (21212212001001), we get a palindrome (121312424213121).

The spelling of 100100212212120 in words is "one hundred trillion, one hundred billion, two hundred twelve million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 834168435101 1668336870202 2502505305303 3336673740404 4170842175505 5005010610606 6673347480808 8341684351010 10010021221212 12512526526515 16683368702020 20020042442424 25025053053030 33366737404040 50050106106060 100100212212120