Search a number
-
+
13020231122300 = 22521272399427351
BaseRepresentation
bin1011110101111000001001…
…0000000011110101111100
31201002201111021221000201102
42331132002100003311330
53201310413131403200
643405224523432232
72512452315324263
oct275360220036574
951081437830642
1013020231122300
11416a938039386
1215634a9085678
13735a581c60bc
1433027acb15da
15178a458586d5
hexbd782403d7c

13020231122300 has 72 divisors (see below), whose sum is σ = 28488309964800. Its totient is φ = 5164917912000.

The previous prime is 13020231122209. The next prime is 13020231122309. The reversal of 13020231122300 is 322113202031.

13020231122300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020231122309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30253625 + ... + 30680975.

Almost surely, 213020231122300 is an apocalyptic number.

13020231122300 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 13020231122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14244154982400).

13020231122300 is an abundant number, since it is smaller than the sum of its proper divisors (15468078842500).

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

13020231122300 is a wasteful number, since it uses less digits than its factorization.

13020231122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429891 (or 429884 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13020231122300 its reverse (322113202031), we get a palindrome (13342344324331).

The spelling of 13020231122300 in words is "thirteen trillion, twenty billion, two hundred thirty-one million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 2399 2540 3175 4798 6350 9596 11995 12700 23990 47980 59975 119950 239900 304673 427351 609346 854702 1218692 1523365 1709404 2136755 3046730 4273510 6093460 7616825 8547020 10683775 15233650 21367550 30467300 42735100 54273577 108547154 217094308 271367885 542735770 1025215049 1085471540 1356839425 2050430098 2713678850 4100860196 5126075245 5427357700 10252150490 20504300980 25630376225 51260752450 102521504900 130202311223 260404622446 520809244892 651011556115 1302023112230 2604046224460 3255057780575 6510115561150 13020231122300