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100121021113 = 1938956324061
BaseRepresentation
bin101110100111110101…
…1011000101010111001
3100120102121100212000011
41131033223120222321
53120021440133423
6113554524541521
710143043431511
oct1351753305271
9316377325004
10100121021113
1139508785053
12174a23b18a1
139597903379
144bbb164841
15290eb92b0d
hex174fad8ab9

100121021113 has 16 divisors (see below), whose sum is σ = 105853550400. Its totient is φ = 94435692480.

The previous prime is 100121021111. The next prime is 100121021131. The reversal of 100121021113 is 311120121001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100121021113 - 21 = 100121021111 is a prime.

It is a super-3 number, since 3×1001210211133 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100121021093 and 100121021102.

It is not an unprimeable number, because it can be changed into a prime (100121021111) 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, 4149103 + ... + 4173163.

It is an arithmetic number, because the mean of its divisors is an integer number (6615846900).

Almost surely, 2100121021113 is an apocalyptic number.

It is an amenable number.

100121021113 is a deficient number, since it is larger than the sum of its proper divisors (5732529287).

100121021113 is a wasteful number, since it uses less digits than its factorization.

100121021113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25032.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100121021113 its reverse (311120121001), we get a palindrome (411241142114).

The spelling of 100121021113 in words is "one hundred billion, one hundred twenty-one million, twenty-one thousand, one hundred thirteen".

Divisors: 1 19 389 563 7391 10697 24061 219007 457159 4161133 9359729 13546343 177834851 257380517 5269527427 100121021113