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100411011432 = 233213913100237
BaseRepresentation
bin101110110000011110…
…1100111000101101000
3100121011211000212221100
41131200331213011220
53121120204331212
6114043404241400
710153164341364
oct1354075470550
9317154025840
10100411011432
1139647442076
1217563540260
139612a08084
144c078902a4
15292a375bdc
hex1760f67168

100411011432 has 48 divisors (see below), whose sum is σ = 271968748740. Its totient is φ = 33467597568.

The previous prime is 100411011431. The next prime is 100411011439. The reversal of 100411011432 is 234110114001.

It can be written as a sum of positive squares in 2 ways, for example, as 97422639876 + 2988371556 = 312126^2 + 54666^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100411011431) 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, 951618 + ... + 1051854.

Almost surely, 2100411011432 is an apocalyptic number.

100411011432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100411011432 is an abundant number, since it is smaller than the sum of its proper divisors (171557737308).

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

100411011432 is a wasteful number, since it uses less digits than its factorization.

100411011432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114162 (or 114155 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100411011432 its reverse (234110114001), we get a palindrome (334521125433).

The spelling of 100411011432 in words is "one hundred billion, four hundred eleven million, eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13913 27826 41739 55652 83478 100237 111304 125217 166956 200474 250434 300711 333912 400948 500868 601422 801896 902133 1001736 1202844 1804266 2405688 3608532 7217064 1394597381 2789194762 4183792143 5578389524 8367584286 11156779048 12551376429 16735168572 25102752858 33470337144 50205505716 100411011432