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100011121221 = 31110130006337
BaseRepresentation
bin101110100100100100…
…0001001101001000101
3100120010221120100200210
41131021020021221011
53114310321334341
6113540001230033
710140240334614
oct1351110115105
9316127510623
10100011121221
11394617416a0
1217471632319
13957ac0474b
144baa71787b
1529051d4c16
hex1749209a45

100011121221 has 16 divisors (see below), whose sum is σ = 146911030848. Its totient is φ = 60012672000.

The previous prime is 100011121219. The next prime is 100011121229. The reversal of 100011121221 is 122121110001.

It is not a de Polignac number, because 100011121221 - 21 = 100011121219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100011121197 and 100011121206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011121229) 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, 14999836 + ... + 15006501.

It is an arithmetic number, because the mean of its divisors is an integer number (9181939428).

Almost surely, 2100011121221 is an apocalyptic number.

100011121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011121221 is a deficient number, since it is larger than the sum of its proper divisors (46899909627).

100011121221 is a wasteful number, since it uses less digits than its factorization.

100011121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30006452.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100011121221 its reverse (122121110001), we get a palindrome (222132231222).

The spelling of 100011121221 in words is "one hundred billion, eleven million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 11 33 101 303 1111 3333 30006337 90019011 330069707 990209121 3030640037 9091920111 33337040407 100011121221