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134102212100 = 225212291091149
BaseRepresentation
bin111110011100100011…
…1010101111000000100
3110211010210222012201022
41330321013111320010
54144120131241400
6141334455450312
712455114665253
oct1747107257004
9424123865638
10134102212100
115196622586a
1221ba6686998
13c851a3287c
1466c222879a
15374d078b85
hex1f391d5e04

134102212100 has 36 divisors (see below), whose sum is σ = 291238846500. Its totient is φ = 53597189760.

The previous prime is 134102212093. The next prime is 134102212109. The reversal of 134102212100 is 1212201431.

It can be written as a sum of positive squares in 6 ways, for example, as 10034830276 + 124067381824 = 100174^2 + 352232^2 .

It is a super-2 number, since 2×1341022121002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134102212109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 422675 + ... + 668474.

Almost surely, 2134102212100 is an apocalyptic number.

134102212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134102212100 is an abundant number, since it is smaller than the sum of its proper divisors (157136634400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134102212100 is a wasteful number, since it uses less digits than its factorization.

134102212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092392 (or 1092385 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 134102212100 its reverse (1212201431), we get a palindrome (135314413531).

The spelling of 134102212100 in words is "one hundred thirty-four billion, one hundred two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1229 2458 4916 6145 12290 24580 30725 61450 122900 1091149 2182298 4364596 5455745 10911490 21822980 27278725 54557450 109114900 1341022121 2682044242 5364088484 6705110605 13410221210 26820442420 33525553025 67051106050 134102212100