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100101020212212 = 22322813136565621
BaseRepresentation
bin10110110000101010010101…
…110000000101101111110100
3111010102120020012200000120220
4112300222111300011233310
5101110023342133242322
6552521435052254340
730041026411603335
oct2660522560055764
9433376205600526
10100101020212212
1129993671310868
12b2882b91713b0
1343b164111b746
141aa0cb556228c
15b88ccd37e55c
hex5b0a95c05bf4

100101020212212 has 24 divisors (see below), whose sum is σ = 233570077386912. Its totient is φ = 33366859562400.

The previous prime is 100101020212189. The next prime is 100101020212213. The reversal of 100101020212212 is 212212020101001.

It is a junction number, because it is equal to n+sod(n) for n = 100101020212191 and 100101020212200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101020212213) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15545239 + ... + 21020382.

It is an arithmetic number, because the mean of its divisors is an integer number (9732086557788).

Almost surely, 2100101020212212 is an apocalyptic number.

100101020212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101020212212 is an abundant number, since it is smaller than the sum of its proper divisors (133469057174700).

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

100101020212212 is a wasteful number, since it uses less digits than its factorization.

100101020212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36793759 (or 36793757 counting only the distinct ones).

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

Adding to 100101020212212 its reverse (212212020101001), we get a palindrome (312313040313213).

The spelling of 100101020212212 in words is "one hundred trillion, one hundred one billion, twenty million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 228131 456262 684393 912524 1368786 2737572 36565621 73131242 109696863 146262484 219393726 438787452 8341751684351 16683503368702 25025255053053 33367006737404 50050510106106 100101020212212