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13340321300 = 22521071279817
BaseRepresentation
bin11000110110010010…
…10010011000010100
31021102201011112112002
430123021102120110
5204310110240200
610043425214432
7651404601005
oct143311223024
937381145462
1013340321300
115726299929
122703791418
131347a49657
14907a371ac
15531277bd5
hex31b252614

13340321300 has 72 divisors (see below), whose sum is σ = 29452114944. Its totient is φ = 5244099840.

The previous prime is 13340321273. The next prime is 13340321317. The reversal of 13340321300 is 312304331.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1353992 + ... + 1363808.

It is an arithmetic number, because the mean of its divisors is an integer number (409057152).

Almost surely, 213340321300 is an apocalyptic number.

13340321300 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 13340321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14726057472).

13340321300 is an abundant number, since it is smaller than the sum of its proper divisors (16111793644).

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

13340321300 is a wasteful number, since it uses less digits than its factorization.

13340321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10065 (or 10058 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13340321300 its reverse (312304331), we get a palindrome (13652625631).

The spelling of 13340321300 in words is "thirteen billion, three hundred forty million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 127 214 254 428 508 535 635 1070 1270 2140 2540 2675 3175 5350 6350 9817 10700 12700 13589 19634 27178 39268 49085 54356 67945 98170 135890 196340 245425 271780 339725 490850 679450 981700 1050419 1246759 1358900 2100838 2493518 4201676 4987036 5252095 6233795 10504190 12467590 21008380 24935180 26260475 31168975 52520950 62337950 105041900 124675900 133403213 266806426 533612852 667016065 1334032130 2668064260 3335080325 6670160650 13340321300