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13212141520 = 245732262353
BaseRepresentation
bin11000100111000000…
…10100011111010000
31021002202222022220211
430103200110133100
5204024302012040
610023010013504
7645260231014
oct142340243720
937082868824
1013212141520
11566aa00526
122688877294
13132731a526
148d49cc544
15524da88ea
hex3138147d0

13212141520 has 40 divisors (see below), whose sum is σ = 31139040456. Its totient is φ = 5212459008.

The previous prime is 13212141487. The next prime is 13212141521. The reversal of 13212141520 is 2514121231.

It can be written as a sum of positive squares in 4 ways, for example, as 2756670016 + 10455471504 = 52504^2 + 102252^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13212141491 and 13212141500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212141521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1125337 + ... + 1137016.

Almost surely, 213212141520 is an apocalyptic number.

13212141520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13212141520 is an abundant number, since it is smaller than the sum of its proper divisors (17926898936).

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

13212141520 is a wasteful number, since it uses less digits than its factorization.

13212141520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262439 (or 2262433 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 13212141520 its reverse (2514121231), we get a palindrome (15726262751).

The spelling of 13212141520 in words is "thirteen billion, two hundred twelve million, one hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 2262353 4524706 9049412 11311765 18098824 22623530 36197648 45247060 90494120 165151769 180988240 330303538 660607076 825758845 1321214152 1651517690 2642428304 3303035380 6606070760 13212141520