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13120244730 = 234552330971
BaseRepresentation
bin11000011100000011…
…10000101111111010
31020212101001111020000
430032001300233322
5203332240312410
610005524213430
7643063145235
oct141601605772
936771044200
1013120244730
11562304406a
122661b3a276
131311283128
148c670a41c
1551bca4dc0
hex30e070bfa

13120244730 has 80 divisors (see below), whose sum is σ = 35347476384. Its totient is φ = 3491929440.

The previous prime is 13120244701. The next prime is 13120244741. The reversal of 13120244730 is 3744202131.

It is a happy number.

13120244730 is a `hidden beast` number, since 13 + 1 + 202 + 447 + 3 + 0 = 666.

13120244730 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 13120244694 and 13120244703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 408145 + ... + 439115.

Almost surely, 213120244730 is an apocalyptic number.

13120244730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120244730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17673738192).

13120244730 is an abundant number, since it is smaller than the sum of its proper divisors (22227231654).

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

13120244730 is a wasteful number, since it uses less digits than its factorization.

13120244730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31513 (or 31504 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 13120244730 its reverse (3744202131), we get a palindrome (16864446861).

The spelling of 13120244730 in words is "thirteen billion, one hundred twenty million, two hundred forty-four thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 523 810 1046 1569 2615 3138 4707 5230 7845 9414 14121 15690 23535 28242 30971 42363 47070 61942 70605 84726 92913 141210 154855 185826 211815 278739 309710 423630 464565 557478 836217 929130 1393695 1672434 2508651 2787390 4181085 5017302 8362170 12543255 16197833 25086510 32395666 48593499 80989165 97186998 145780497 161978330 242967495 291560994 437341491 485934990 728902485 874682982 1312024473 1457804970 2186707455 2624048946 4373414910 6560122365 13120244730