Search a number
-
+
10104214140 = 2232556134523
BaseRepresentation
bin10010110100100001…
…00001001001111100
3222002011212021001100
421122100201021330
5131143134323030
64350344213100
7505251255156
oct113220411174
928064767040
1010104214140
1143156246a9
121b5ba6a190
13c50478147
146bbd2dad6
153e20e6360
hex25a42127c

10104214140 has 36 divisors (see below), whose sum is σ = 30649450104. Its totient is φ = 2694457056.

The previous prime is 10104214139. The next prime is 10104214223. The reversal of 10104214140 is 4141240101.

10104214140 is a `hidden beast` number, since 101 + 0 + 421 + 4 + 140 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28067082 + ... + 28067441.

It is an arithmetic number, because the mean of its divisors is an integer number (851373614).

Almost surely, 210104214140 is an apocalyptic number.

10104214140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10104214140 is an abundant number, since it is smaller than the sum of its proper divisors (20545235964).

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

10104214140 is a wasteful number, since it uses less digits than its factorization.

10104214140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56134538 (or 56134533 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10104214140 its reverse (4141240101), we get a palindrome (14245454241).

The spelling of 10104214140 in words is "ten billion, one hundred four million, two hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 56134523 112269046 168403569 224538092 280672615 336807138 505210707 561345230 673614276 842017845 1010421414 1122690460 1684035690 2020842828 2526053535 3368071380 5052107070 10104214140