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100341240032 = 2511535378497
BaseRepresentation
bin101110101110011001…
…1011101000011100000
3100120222221202010120102
41131130303131003200
53120444324140112
6114032433001532
710151356316255
oct1353463350340
9316887663512
10100341240032
1139611017860
12175440b32a8
139601419617
144bdc4cb42c
152924192bc2
hex175ccdd0e0

100341240032 has 48 divisors (see below), whose sum is σ = 219571802352. Its totient is φ = 44749086720.

The previous prime is 100341240031. The next prime is 100341240037. The reversal of 100341240032 is 230042143001.

It is a super-2 number, since 2×1003412400322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100341239986 and 100341240013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100341240031) 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 7 ways as a sum of consecutive naturals, for example, 2670593 + ... + 2707904.

It is an arithmetic number, because the mean of its divisors is an integer number (4574412549).

Almost surely, 2100341240032 is an apocalyptic number.

It is an amenable number.

100341240032 is an abundant number, since it is smaller than the sum of its proper divisors (119230562320).

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

100341240032 is a wasteful number, since it uses less digits than its factorization.

100341240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378571 (or 5378563 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100341240032 its reverse (230042143001), we get a palindrome (330383383033).

The spelling of 100341240032 in words is "one hundred billion, three hundred forty-one million, two hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 583 848 1166 1696 2332 4664 9328 18656 5378497 10756994 21513988 43027976 59163467 86055952 118326934 172111904 236653868 285060341 473307736 570120682 946615472 1140241364 1893230944 2280482728 3135663751 4560965456 6271327502 9121930912 12542655004 25085310008 50170620016 100341240032