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32130122020 = 22543671015521
BaseRepresentation
bin11101111011000110…
…101100000100100100
310001221012111022110021
4131323012230010210
51011300302401040
622432124004524
72215133350063
oct357306540444
9101835438407
1032130122020
1112698686257
126288390744
13305079b629
1417ab2d61da
15c80b4124a
hex77b1ac124

32130122020 has 96 divisors (see below), whose sum is σ = 70779494016. Its totient is φ = 12241152000.

The previous prime is 32130121943. The next prime is 32130122027. The reversal of 32130122020 is 2022103123.

It is a junction number, because it is equal to n+sod(n) for n = 32130121985 and 32130122003.

It is not an unprimeable number, because it can be changed into a prime (32130122027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5816860 + ... + 5822380.

It is an arithmetic number, because the mean of its divisors is an integer number (737286396).

Almost surely, 232130122020 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 32130122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35389747008).

32130122020 is an abundant number, since it is smaller than the sum of its proper divisors (38649371996).

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

32130122020 is a wasteful number, since it uses less digits than its factorization.

32130122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5741 (or 5739 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 32130122020 its reverse (2022103123), we get a palindrome (34152225143).

The spelling of 32130122020 in words is "thirty-two billion, one hundred thirty million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 43 67 86 101 134 172 202 215 268 335 404 430 505 670 860 1010 1340 2020 2881 4343 5521 5762 6767 8686 11042 11524 13534 14405 17372 21715 22084 27068 27605 28810 33835 43430 55210 57620 67670 86860 110420 135340 237403 290981 369907 474806 557621 581962 739814 949612 1115242 1163924 1187015 1454905 1479628 1849535 2230484 2374030 2788105 2909810 3699070 4748060 5576210 5819620 7398140 11152420 15906001 23977703 31812002 37360607 47955406 63624004 74721214 79530005 95910812 119888515 149442428 159060010 186803035 239777030 318120020 373606070 479554060 747212140 1606506101 3213012202 6426024404 8032530505 16065061010 32130122020