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100101201311 = 8913714875521
BaseRepresentation
bin101110100111001111…
…1110001110110011111
3100120101020001220100102
41131032133301312133
53120001401420221
6113552540051315
710142413113026
oct1351637616637
9316336056312
10100101201311
11394a8578151
1217497833b3b
139593783c87
144bb86858bd
15290d07a30b
hex174e7f1d9f

100101201311 has 16 divisors (see below), whose sum is σ = 102051861120. Its totient is φ = 98170152960.

The previous prime is 100101201281. The next prime is 100101201359. The reversal of 100101201311 is 113102101001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100101201311 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101201292 and 100101201301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101201391) 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, 18128231 + ... + 18133751.

It is an arithmetic number, because the mean of its divisors is an integer number (6378241320).

Almost surely, 2100101201311 is an apocalyptic number.

100101201311 is a deficient number, since it is larger than the sum of its proper divisors (1950659809).

100101201311 is a wasteful number, since it uses less digits than its factorization.

100101201311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7234.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100101201311 its reverse (113102101001), we get a palindrome (213203302312).

The spelling of 100101201311 in words is "one hundred billion, one hundred one million, two hundred one thousand, three hundred eleven".

Divisors: 1 89 137 1487 5521 12193 132343 203719 491369 756377 8209727 18130991 67317553 730665703 1124732599 100101201311