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13202431052430 = 23523193149366403
BaseRepresentation
bin1100000000011110111000…
…1101101000101010001110
31201202010210010020110202210
43000013232031220222032
53212302034322134210
644025040232331250
72531562356222664
oct300075615505216
951663703213683
1013202431052430
114230135162634
121592877543b26
13749ca3846249
14339002d2ac34
1517d65b267e20
hexc01ee368a8e

13202431052430 has 128 divisors (see below), whose sum is σ = 33257554117632. Its totient is φ = 3347833724928.

The previous prime is 13202431052417. The next prime is 13202431052509. The reversal of 13202431052430 is 3425013420231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198789609 + ... + 198856011.

It is an arithmetic number, because the mean of its divisors is an integer number (259824641544).

Almost surely, 213202431052430 is an apocalyptic number.

13202431052430 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 13202431052430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16628777058816).

13202431052430 is an abundant number, since it is smaller than the sum of its proper divisors (20055123065202).

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

13202431052430 is a wasteful number, since it uses less digits than its factorization.

13202431052430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68122.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13202431052430 its reverse (3425013420231), we get a palindrome (16627444472661).

The spelling of 13202431052430 in words is "thirteen trillion, two hundred two billion, four hundred thirty-one million, fifty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 193 230 345 386 579 690 965 1158 1493 1930 2895 2986 4439 4479 5790 7465 8878 8958 13317 14930 22195 22395 26634 34339 44390 44790 66403 66585 68678 103017 132806 133170 171695 199209 206034 288149 332015 343390 398418 515085 576298 664030 864447 996045 1030170 1440745 1527269 1728894 1992090 2881490 3054538 4322235 4581807 6627427 7636345 8644470 9163614 12815779 13254854 15272690 19882281 22909035 25631558 33137135 38447337 39764562 45818070 64078895 66274270 76894674 99139679 99411405 128157790 192236685 198279358 198822810 294762917 297419037 384473370 495698395 589525834 594838074 884288751 991396790 1473814585 1487095185 1768577502 2280212617 2947629170 2974190370 4421443755 4560425234 6840637851 8842887510 11401063085 13681275702 19133958047 22802126170 34203189255 38267916094 57401874141 68406378510 95669790235 114803748282 191339580470 287009370705 440081035081 574018741410 880162070162 1320243105243 2200405175405 2640486210486 4400810350810 6601215526215 13202431052430