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10013325520 = 2451197117307
BaseRepresentation
bin10010101001101011…
…10011100011010000
3221211211211122022011
421110311303203100
5131001402404040
64333340152304
7503065601602
oct112465634320
927754748264
1010013325520
114279296740
121b35538694
13c376a48b3
146adc31172
153d91413ea
hex254d738d0

10013325520 has 80 divisors (see below), whose sum is σ = 25659482688. Its totient is φ = 3603640320.

The previous prime is 10013325481. The next prime is 10013325521. The reversal of 10013325520 is 2552331001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10013325491 and 10013325500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013325521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26707 + ... + 144013.

Almost surely, 210013325520 is an apocalyptic number.

10013325520 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 10013325520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12829741344).

10013325520 is an abundant number, since it is smaller than the sum of its proper divisors (15646157168).

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

10013325520 is a wasteful number, since it uses less digits than its factorization.

10013325520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117428 (or 117422 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 10013325520 its reverse (2552331001), we get a palindrome (12565656521).

It can be divided in two parts, 10013 and 325520, that added together give a palindrome (335533).

The spelling of 10013325520 in words is "ten billion, thirteen million, three hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 97 110 176 194 220 388 440 485 776 880 970 1067 1552 1940 2134 3880 4268 5335 7760 8536 10670 17072 21340 42680 85360 117307 234614 469228 586535 938456 1173070 1290377 1876912 2346140 2580754 4692280 5161508 6451885 9384560 10323016 11378779 12903770 20646032 22757558 25807540 45515116 51615080 56893895 91030232 103230160 113787790 125166569 182060464 227575580 250333138 455151160 500666276 625832845 910302320 1001332552 1251665690 2002665104 2503331380 5006662760 10013325520