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13114334101020 = 223519109110544273
BaseRepresentation
bin1011111011010110101100…
…1110011011111000011100
31201102201101111021122112120
42332311223032123320130
53204331124012213040
643520350353102540
72522323265414025
oct276655316337034
951381344248476
1013114334101020
1141a683778a079
12157978bb57a50
137418a4084329
14334a46a8bc4c
1517b201eec7d0
hexbed6b39be1c

13114334101020 has 96 divisors (see below), whose sum is σ = 38688206618880. Its totient is φ = 3310057866240.

The previous prime is 13114334101009. The next prime is 13114334101069. The reversal of 13114334101020 is 2010143341131.

It is a happy number.

It is a congruent number.

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, 4028397 + ... + 6515876.

It is an arithmetic number, because the mean of its divisors is an integer number (403002152280).

Almost surely, 213114334101020 is an apocalyptic number.

13114334101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114334101020 is an abundant number, since it is smaller than the sum of its proper divisors (25573872517860).

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

13114334101020 is a wasteful number, since it uses less digits than its factorization.

13114334101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10545395 (or 10545393 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13114334101020 its reverse (2010143341131), we get a palindrome (15124477442151).

The spelling of 13114334101020 in words is "thirteen trillion, one hundred fourteen billion, three hundred thirty-four million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1091 1140 2182 3273 4364 5455 6546 10910 13092 16365 20729 21820 32730 41458 62187 65460 82916 103645 124374 207290 248748 310935 414580 621870 1243740 10544273 21088546 31632819 42177092 52721365 63265638 105442730 126531276 158164095 200341187 210885460 316328190 400682374 601023561 632656380 801364748 1001705935 1202047122 2003411870 2404094244 3005117805 4006823740 6010235610 11503801843 12020471220 23007603686 34511405529 46015207372 57519009215 69022811058 115038018430 138045622116 172557027645 218572235017 230076036860 345114055290 437144470034 655716705051 690228110580 874288940068 1092861175085 1311433410102 2185722350170 2622866820204 3278583525255 4371444700340 6557167050510 13114334101020