Search a number
-
+
100232423004 = 22374129103491
BaseRepresentation
bin101110101011001010…
…0010110011001011100
3100120201100222122200010
41131112110112121130
53120234000014004
6114013544403220
710145565352410
oct1352624263134
9316640878603
10100232423004
1139565653a2a
1217513776510
1395b4a0984c
144bcbc82d40
15291984aa89
hex175651665c

100232423004 has 48 divisors (see below), whose sum is σ = 273805652736. Its totient is φ = 27939350400.

The previous prime is 100232423003. The next prime is 100232423023. The reversal of 100232423004 is 400324232001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100232423003) 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 15 ways as a sum of consecutive naturals, for example, 14548302 + ... + 14555189.

It is an arithmetic number, because the mean of its divisors is an integer number (5704284432).

Almost surely, 2100232423004 is an apocalyptic number.

100232423004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100232423004 is an abundant number, since it is smaller than the sum of its proper divisors (173573229732).

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

100232423004 is a wasteful number, since it uses less digits than its factorization.

100232423004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29103546 (or 29103544 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 100232423004 its reverse (400324232001), we get a palindrome (500556655005).

The spelling of 100232423004 in words is "one hundred billion, two hundred thirty-two million, four hundred twenty-three thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 29103491 58206982 87310473 116413964 174620946 203724437 349241892 407448874 611173311 814897748 1193243131 1222346622 2386486262 2444693244 3579729393 4772972524 7159458786 8352701917 14318917572 16705403834 25058105751 33410807668 50116211502 100232423004