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13132322120 = 2354311367567
BaseRepresentation
bin11000011101011111…
…10101010101001000
31020220012210002021202
430032233311111020
5203343333301440
610011035123332
7643300616261
oct141657652510
936805702252
1013132322120
115629942a85
122665ba3548
131313921408
148c8171968
1551cd8d615
hex30ebf5548

13132322120 has 64 divisors (see below), whose sum is σ = 30502897920. Its totient is φ = 5085287424.

The previous prime is 13132322117. The next prime is 13132322173. The reversal of 13132322120 is 2122323131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13132322092 and 13132322101.

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, 160577 + ... + 228143.

It is an arithmetic number, because the mean of its divisors is an integer number (476607780).

Almost surely, 213132322120 is an apocalyptic number.

13132322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15251448960).

13132322120 is an abundant number, since it is smaller than the sum of its proper divisors (17370575800).

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

13132322120 is a wasteful number, since it uses less digits than its factorization.

13132322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67734 (or 67730 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13132322120 its reverse (2122323131), we get a palindrome (15254645251).

The spelling of 13132322120 in words is "thirteen billion, one hundred thirty-two million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 113 172 215 226 344 430 452 565 860 904 1130 1720 2260 4520 4859 9718 19436 24295 38872 48590 67567 97180 135134 194360 270268 337835 540536 675670 1351340 2702680 2905381 5810762 7635071 11621524 14526905 15270142 23243048 29053810 30540284 38175355 58107620 61080568 76350710 116215240 152701420 305402840 328308053 656616106 1313232212 1641540265 2626464424 3283080530 6566161060 13132322120