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32002131020 = 22537341312671
BaseRepresentation
bin11101110011011110…
…011100010001001100
310001121021122200210212
4131303132130101030
51011020021143040
622411312421552
72212020424346
oct356336342114
9101537580725
1032002131020
1112632406772
1262515478b8
133030107402
1417982da296
15c747acd65
hex77379c44c

32002131020 has 48 divisors (see below), whose sum is σ = 69046483968. Its totient is φ = 12450251520.

The previous prime is 32002131001. The next prime is 32002131037. The reversal of 32002131020 is 2013120023.

32002131020 = 102502 + 102512 + ... + 105452.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32002130986 and 32002131004.

It is an unprimeable number.

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, 2519285 + ... + 2531955.

It is an arithmetic number, because the mean of its divisors is an integer number (1438468416).

Almost surely, 232002131020 is an apocalyptic number.

It is an amenable number.

32002131020 is an abundant number, since it is smaller than the sum of its proper divisors (37044352948).

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

32002131020 is a wasteful number, since it uses less digits than its factorization.

32002131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16130 (or 16128 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 32002131020 its reverse (2013120023), we get a palindrome (34015251043).

The spelling of 32002131020 in words is "thirty-two billion, two million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 3413 6826 12671 13652 17065 25342 34130 50684 63355 68260 126281 126710 252562 253420 468827 505124 631405 937654 1262810 1875308 2344135 2525620 4688270 9376540 43246123 86492246 172984492 216230615 432461230 864922460 1600106551 3200213102 6400426204 8000532755 16001065510 32002131020