Search a number
-
+
10042104420 = 22325360715467
BaseRepresentation
bin10010101101000111…
…00101101001100100
3221220211222202112100
421112203211221210
5131031234320140
64340245052100
7503565323235
oct112643455144
927824882470
1010042104420
114293562757
121b430b7030
13c4063cb2a
146b39a308c
153db928530
hex2568e5a64

10042104420 has 72 divisors (see below), whose sum is σ = 30471465024. Its totient is φ = 2676979008.

The previous prime is 10042104419. The next prime is 10042104431. The reversal of 10042104420 is 2440124001.

10042104420 is a `hidden beast` number, since 10 + 0 + 4 + 210 + 442 + 0 = 666.

It is a super-2 number, since 2×100421044202 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10042104393 and 10042104402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 641527 + ... + 656993.

It is an arithmetic number, because the mean of its divisors is an integer number (423214792).

Almost surely, 210042104420 is an apocalyptic number.

10042104420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042104420 is an abundant number, since it is smaller than the sum of its proper divisors (20429360604).

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

10042104420 is a wasteful number, since it uses less digits than its factorization.

10042104420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19089 (or 19084 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10042104420 its reverse (2440124001), we get a palindrome (12482228421).

The spelling of 10042104420 in words is "ten billion, forty-two million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3607 7214 10821 14428 15467 18035 21642 30934 32463 36070 43284 46401 54105 61868 64926 72140 77335 92802 108210 129852 139203 154670 162315 185604 216420 232005 278406 309340 324630 464010 556812 649260 696015 928020 1392030 2784060 55789469 111578938 167368407 223157876 278947345 334736814 502105221 557894690 669473628 836842035 1004210442 1115789380 1673684070 2008420884 2510526105 3347368140 5021052210 10042104420