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100112211221 = 1182311058457
BaseRepresentation
bin101110100111100100…
…1110001110100010101
3100120101222210021002212
41131033021301310111
53120012211224341
6113554012043205
710142605516631
oct1351711616425
9316358707085
10100112211221
1139503808050
121749b463505
139595b3a409
144bb9d0ddc1
15290e0025eb
hex174f271d15

100112211221 has 8 divisors (see below), whose sum is σ = 109346032704. Its totient is φ = 90900508320.

The previous prime is 100112211203. The next prime is 100112211253. The reversal of 100112211221 is 122112211001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100112211221 - 214 = 100112194837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100112211196 and 100112211205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112211271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5520176 + ... + 5538281.

It is an arithmetic number, because the mean of its divisors is an integer number (13668254088).

Almost surely, 2100112211221 is an apocalyptic number.

100112211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112211221 is a deficient number, since it is larger than the sum of its proper divisors (9233821483).

100112211221 is a wasteful number, since it uses less digits than its factorization.

100112211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11059291.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100112211221 its reverse (122112211001), we get a palindrome (222224422222).

It can be divided in two parts, 1001 and 12211221, that multiplied together give a palindrome (12223432221).

The spelling of 100112211221 in words is "one hundred billion, one hundred twelve million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 11 823 9053 11058457 121643027 9101110111 100112211221