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101030032432 = 24719103146049
BaseRepresentation
bin101111000010111011…
…0111111010000110000
3100122202221211102010001
41132011312333100300
53123402142014212
6114225040115344
710204422051340
oct1360566772060
9318687742101
10101030032432
113993490177a
12176b6905b54
1396b10335a4
144c65b88d20
15296489e657
hex1785dbf430

101030032432 has 80 divisors (see below), whose sum is σ = 235717056000. Its totient is φ = 40979036160.

The previous prime is 101030032427. The next prime is 101030032447. The reversal of 101030032432 is 234230030101.

101030032432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2170944 + ... + 2216992.

It is an arithmetic number, because the mean of its divisors is an integer number (2946463200).

Almost surely, 2101030032432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101030032432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117858528000).

101030032432 is an abundant number, since it is smaller than the sum of its proper divisors (134687023568).

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

101030032432 is a wasteful number, since it uses less digits than its factorization.

101030032432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47114 (or 47108 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 101030032432 its reverse (234230030101), we get a palindrome (335260062533).

The spelling of 101030032432 in words is "one hundred one billion, thirty million, thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1031 1064 2062 2128 4124 7217 8248 14434 16496 19589 28868 39178 46049 57736 78356 92098 115472 137123 156712 184196 274246 313424 322343 368392 548492 644686 736784 874931 1096984 1289372 1749862 2193968 2578744 3499724 5157488 6124517 6999448 12249034 13998896 24498068 47476519 48996136 94953038 97992272 189906076 332335633 379812152 664671266 759624304 902053861 1329342532 1804107722 2658685064 3608215444 5317370128 6314377027 7216430888 12628754054 14432861776 25257508108 50515016216 101030032432