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100320111221 = 11174113084663
BaseRepresentation
bin101110101101110001…
…0110110101001110101
3100120221110222200021212
41131123202312221311
53120423422024341
6114030400051205
710151011606241
oct1353342665165
9316843880255
10100320111221
11396000a6430
1217539003b05
1395c9c2c475
144bd978b421
1529223bc5eb
hex175b8b6a75

100320111221 has 16 divisors (see below), whose sum is σ = 118704071808. Its totient is φ = 83741836800.

The previous prime is 100320111179. The next prime is 100320111233. The reversal of 100320111221 is 122111023001.

It is a de Polignac number, because none of the positive numbers 2k-100320111221 is a prime.

It is a super-2 number, since 2×1003201112212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100320111196 and 100320111205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100320111721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6534665 + ... + 6549998.

It is an arithmetic number, because the mean of its divisors is an integer number (7419004488).

Almost surely, 2100320111221 is an apocalyptic number.

100320111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100320111221 is a deficient number, since it is larger than the sum of its proper divisors (18383960587).

100320111221 is a wasteful number, since it uses less digits than its factorization.

100320111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13084732.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100320111221 its reverse (122111023001), we get a palindrome (222431134222).

The spelling of 100320111221 in words is "one hundred billion, three hundred twenty million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 11 17 41 187 451 697 7667 13084663 143931293 222439271 536471183 2446831981 5901183013 9120010111 100320111221