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100221210212103 = 32163233940277253
BaseRepresentation
bin10110110010011010010001…
…101000100011011100000111
3111010212001110110100121221100
4112302122101220203130013
5101114011014303241403
6553052553253151143
730052513006003311
oct2662322150433407
9433761413317840
10100221210212103
1129a2a638448692
12b2a766062b4b3
1343bca8679b486
141aa6a37c067b1
15b8beb4d662a3
hex5b2691a23707

100221210212103 has 48 divisors (see below), whose sum is σ = 145770643474560. Its totient is φ = 66350215495872.

The previous prime is 100221210212099. The next prime is 100221210212161. The reversal of 100221210212103 is 301212012122001.

100221210212103 is a `hidden beast` number, since 1 + 0 + 0 + 221 + 210 + 21 + 210 + 3 = 666.

It is not a de Polignac number, because 100221210212103 - 22 = 100221210212099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221210216103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13817893825 + ... + 13817901077.

It is an arithmetic number, because the mean of its divisors is an integer number (3036888405720).

Almost surely, 2100221210212103 is an apocalyptic number.

100221210212103 is a deficient number, since it is larger than the sum of its proper divisors (45549433262457).

100221210212103 is a wasteful number, since it uses less digits than its factorization.

100221210212103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13788 (or 13785 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100221210212103 its reverse (301212012122001), we get a palindrome (401433222334104).

The spelling of 100221210212103 in words is "one hundred trillion, two hundred twenty-one billion, two hundred ten million, two hundred twelve thousand, one hundred three".

Divisors: 1 3 9 163 489 1467 2339 4027 7017 7253 12081 21051 21759 36243 65277 381257 656401 1143771 1182239 1969203 3431313 3546717 5907609 9419153 10640151 16964767 28257459 29207831 50894301 84772377 87623493 152682903 262870479 1535321939 2765257021 4605965817 4760876453 8295771063 13817897451 14282629359 24887313189 42847888077 68317116709 204951350127 614854050381 11135690023567 33407070070701 100221210212103