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13530131115240 = 23351917539338347
BaseRepresentation
bin1100010011100011101010…
…1010001010110011101000
31202220110122002201111012010
43010320322222022303220
53233134202031141430
644435353442115520
72564343155624055
oct304707252126350
952813562644163
1013530131115240
114347107315023
12162629164bba0
13771b693b755c
1434ac0cc6402c
15186e3a692cb0
hexc4e3aa8ace8

13530131115240 has 128 divisors (see below), whose sum is σ = 42729292224000. Its totient is φ = 3417933397248.

The previous prime is 13530131115223. The next prime is 13530131115257. The reversal of 13530131115240 is 4251113103531.

It is an interprime number because it is at equal distance from previous prime (13530131115223) and next prime (13530131115257).

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

It is a junction number, because it is equal to n+sod(n) for n = 13530131115198 and 13530131115207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39819747 + ... + 40158093.

It is an arithmetic number, because the mean of its divisors is an integer number (333822595500).

Almost surely, 213530131115240 is an apocalyptic number.

13530131115240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13530131115240 is an abundant number, since it is smaller than the sum of its proper divisors (29199161108760).

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

13530131115240 is a wasteful number, since it uses less digits than its factorization.

13530131115240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355919 (or 355915 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 13530131115240 its reverse (4251113103531), we get a palindrome (17781244218771).

The spelling of 13530131115240 in words is "thirteen trillion, five hundred thirty billion, one hundred thirty-one million, one hundred fifteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 17539 35078 52617 70156 87695 105234 140312 175390 210468 263085 333241 338347 350780 420936 526170 666482 676694 701560 999723 1015041 1052340 1332964 1353388 1666205 1691735 1999446 2030082 2104680 2665928 2706776 3332410 3383470 3998892 4060164 4998615 5075205 6428593 6664820 6766940 7997784 8120328 9997230 10150410 12857186 13329640 13533880 19285779 19994460 20300820 25714372 32142965 38571558 39988920 40601640 51428744 64285930 77143116 96428895 128571860 154286232 192857790 257143720 385715580 771431160 5934268033 11868536066 17802804099 23737072132 29671340165 35605608198 47474144264 59342680330 71211216396 89014020495 112751092627 118685360660 142422432792 178028040990 225502185254 237370721320 338253277881 356056081980 451004370508 563755463135 676506555762 712112163960 902008741016 1127510926270 1353013111524 1691266389405 2255021852540 2706026223048 3382532778810 4510043705080 6765065557620 13530131115240