Search a number
-
+
13020012120 = 2335791373419
BaseRepresentation
bin11000010000000110…
…11001111001011000
31020121101110010221010
430020003121321120
5203131110341440
65551544013520
7640435164003
oct141003317130
936541403833
1013020012120
1155815038a5
1226344612a0
1312c658a7ab
148b729853a
155130a6580
hex3080d9e58

13020012120 has 64 divisors (see below), whose sum is σ = 39554496000. Its totient is φ = 3428051328.

The previous prime is 13020012091. The next prime is 13020012127. The reversal of 13020012120 is 2121002031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13020012096 and 13020012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020012127) 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, 677230 + ... + 696189.

It is an arithmetic number, because the mean of its divisors is an integer number (618039000).

Almost surely, 213020012120 is an apocalyptic number.

13020012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13020012120 is an abundant number, since it is smaller than the sum of its proper divisors (26534483880).

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

13020012120 is a wasteful number, since it uses less digits than its factorization.

13020012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373512 (or 1373508 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13020012120 its reverse (2121002031), we get a palindrome (15141014151).

The spelling of 13020012120 in words is "thirteen billion, twenty million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4740 9480 1373419 2746838 4120257 5493676 6867095 8240514 10987352 13734190 16481028 20601285 27468380 32962056 41202570 54936760 82405140 108500101 164810280 217000202 325500303 434000404 542500505 651000606 868000808 1085001010 1302001212 1627501515 2170002020 2604002424 3255003030 4340004040 6510006060 13020012120