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13412232020 = 22511149619661
BaseRepresentation
bin11000111110110111…
…00110101101010100
31021121201110222111002
430133123212231110
5204432012411040
610054514402432
7653240043155
oct143733465524
937551428432
1013412232020
115762945480
122723890418
131359906a85
149133d592c
1553772ea15
hex31f6e6b54

13412232020 has 96 divisors (see below), whose sum is σ = 31029264000. Its totient is φ = 4829299200.

The previous prime is 13412232013. The next prime is 13412232037. The reversal of 13412232020 is 2023221431.

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 = 13412231983 and 13412232001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20290490 + ... + 20291150.

It is an arithmetic number, because the mean of its divisors is an integer number (323221500).

Almost surely, 213412232020 is an apocalyptic number.

13412232020 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 13412232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15514632000).

13412232020 is an abundant number, since it is smaller than the sum of its proper divisors (17617031980).

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

13412232020 is a wasteful number, since it uses less digits than its factorization.

13412232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13412232020 its reverse (2023221431), we get a palindrome (15435453451).

The spelling of 13412232020 in words is "thirteen billion, four hundred twelve million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 220 298 596 619 661 745 1238 1322 1490 1639 2476 2644 2980 3095 3278 3305 6190 6556 6610 6809 7271 8195 12380 13220 13618 14542 16390 27236 29084 32780 34045 36355 68090 72710 92231 98489 136180 145420 184462 196978 368924 393956 409159 461155 492445 818318 922310 984890 1014541 1083379 1636636 1844620 1969780 2029082 2045795 2166758 4058164 4091590 4333516 4500749 5072705 5416895 8183180 9001498 10145410 10833790 18002996 20290820 21667580 22503745 45007490 60964691 90014980 121929382 243858764 304823455 609646910 670611601 1219293820 1341223202 2682446404 3353058005 6706116010 13412232020