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13120202130 = 2357412715623
BaseRepresentation
bin11000011100000011…
…00110010110010010
31020212100222022210020
430032001212112102
5203332232432010
610005523244310
7643062610110
oct141601462622
936770868706
1013120202130
115623015062
122661b19696
131311269919
148c66d8ab0
1551bc97470
hex30e066592

13120202130 has 128 divisors (see below), whose sum is σ = 37007179776. Its totient is φ = 2914444800.

The previous prime is 13120202093. The next prime is 13120202131. The reversal of 13120202130 is 3120202131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (13120202131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2330499 + ... + 2336121.

It is an arithmetic number, because the mean of its divisors is an integer number (289118592).

Almost surely, 213120202130 is an apocalyptic number.

13120202130 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 13120202130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18503589888).

13120202130 is an abundant number, since it is smaller than the sum of its proper divisors (23886977646).

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

13120202130 is a wasteful number, since it uses less digits than its factorization.

13120202130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5952.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13120202130 its reverse (3120202131), we get a palindrome (16240404261).

Subtracting from 13120202130 its reverse (3120202131), we obtain a palindrome (9999999999).

The spelling of 13120202130 in words is "thirteen billion, one hundred twenty million, two hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 271 287 410 542 574 615 813 861 1230 1355 1435 1626 1722 1897 2710 2870 3794 4065 4305 5623 5691 8130 8610 9485 11111 11246 11382 16869 18970 22222 28115 28455 33333 33738 39361 55555 56230 56910 66666 77777 78722 84345 111110 118083 155554 166665 168690 196805 230543 233331 236166 333330 388885 393610 461086 466662 590415 691629 777770 1152715 1166655 1180830 1383258 1523833 1613801 2305430 2333310 3047666 3227602 3458145 4571499 4841403 6916290 7619165 8069005 9142998 9682806 10666831 15238330 16138010 21333662 22857495 24207015 32000493 45714990 48414030 53334155 62477153 64000986 106668310 124954306 160002465 187431459 312385765 320004930 374862918 437340071 624771530 874680142 937157295 1312020213 1874314590 2186700355 2624040426 4373400710 6560101065 13120202130