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102543230013240 = 233519188923808947
BaseRepresentation
bin10111010100001100110100…
…110011001000111100111000
3111110002001000000021022011210
4113110030310303020330320
5101420032013340410430
61002031413132123120
730412334555443002
oct2724146463107470
9443061000238153
10102543230013240
112a745381056225
12b6016943064a0
13452aa28b27173
141b47194051372
15bcc5b87432b0
hex5d4334cc8f38

102543230013240 has 128 divisors (see below), whose sum is σ = 323992164384000. Its totient is φ = 25891943067648.

The previous prime is 102543230013239. The next prime is 102543230013251. The reversal of 102543230013240 is 42310032345201.

It is a super-2 number, since 2×1025432300132402 (a number of 29 digits) contains 22 as substring.

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 = 102543230013198 and 102543230013207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7597554 + ... + 16211393.

It is an arithmetic number, because the mean of its divisors is an integer number (2531188784250).

Almost surely, 2102543230013240 is an apocalyptic number.

102543230013240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102543230013240 is an abundant number, since it is smaller than the sum of its proper divisors (221448934370760).

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

102543230013240 is a wasteful number, since it uses less digits than its factorization.

102543230013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23810869 (or 23810865 counting only the distinct ones).

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

Adding to 102543230013240 its reverse (42310032345201), we get a palindrome (144853262358441).

The spelling of 102543230013240 in words is "one hundred two trillion, five hundred forty-three billion, two hundred thirty million, thirteen 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 1889 2280 3778 5667 7556 9445 11334 15112 18890 22668 28335 35891 37780 45336 56670 71782 75560 107673 113340 143564 179455 215346 226680 287128 358910 430692 538365 717820 861384 1076730 1435640 2153460 4306920 23808947 47617894 71426841 95235788 119044735 142853682 190471576 238089470 285707364 357134205 452369993 476178940 571414728 714268410 904739986 952357880 1357109979 1428536820 1809479972 2261849965 2714219958 2857073640 3618959944 4523699930 5428439916 6785549895 9047399860 10856879832 13571099790 18094799720 27142199580 44975100883 54284399160 89950201766 134925302649 179900403532 224875504415 269850605298 359800807064 449751008830 539701210596 674626513245 854526916777 899502017660 1079402421192 1349253026490 1709053833554 1799004035320 2563580750331 2698506052980 3418107667108 4272634583885 5127161500662 5397012105960 6836215334216 8545269167770 10254323001324 12817903751655 17090538335540 20508646002648 25635807503310 34181076671080 51271615006620 102543230013240