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100011221201112 = 23313320548785901
BaseRepresentation
bin10110101111010110101101…
…010100000011000011011000
3111010002222102221222121101220
4112233112231110003003120
5101102040440111413422
6552412304252012040
730031400202603264
oct2657265524030330
9433088387877356
10100011221201112
1129959580098701
12b272a17761020
1343a602cb3b910
141a9a7d72230a4
15b867c49a4e5c
hex5af5ad5030d8

100011221201112 has 32 divisors (see below), whose sum is σ = 269260980157680. Its totient is φ = 30772683446400.

The previous prime is 100011221201063. The next prime is 100011221201113. The reversal of 100011221201112 is 211102122110001.

It is a happy number.

It is a super-2 number, since 2×1000112212011122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100011221201091 and 100011221201100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011221201113) 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, 160274392639 + ... + 160274393262.

Almost surely, 2100011221201112 is an apocalyptic number.

100011221201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100011221201112 is an abundant number, since it is smaller than the sum of its proper divisors (169249758956568).

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

100011221201112 is a wasteful number, since it uses less digits than its factorization.

100011221201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320548785923 (or 320548785919 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100011221201112 its reverse (211102122110001), we get a palindrome (311113343311113).

The spelling of 100011221201112 in words is "one hundred trillion, eleven billion, two hundred twenty-one million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 320548785901 641097571802 961646357703 1282195143604 1923292715406 2564390287208 3846585430812 4167134216713 7693170861624 8334268433426 12501402650139 16668536866852 25002805300278 33337073733704 50005610600556 100011221201112