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13310103332100 = 22352298331487179
BaseRepresentation
bin1100000110101111111111…
…1110110010010100000100
31202010102200222122000010210
43001223333332302110010
53221033042423111400
644150324351115420
72542423524416541
oct301537776622404
952112628560123
1013310103332100
114271868378a33
1215ab706812b70
137571a2a13833
143402d8d07bc8
1518135dd15950
hexc1afffb2504

13310103332100 has 72 divisors (see below), whose sum is σ = 38511882408160. Its totient is φ = 3549239527680.

The previous prime is 13310103332087. The next prime is 13310103332111. The reversal of 13310103332100 is 123330101331.

It is a super-2 number, since 2×133101033321002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8206311 + ... + 9693489.

Almost surely, 213310103332100 is an apocalyptic number.

13310103332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13310103332100 is an abundant number, since it is smaller than the sum of its proper divisors (25201779076060).

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

13310103332100 is a wasteful number, since it uses less digits than its factorization.

13310103332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517029 (or 1517022 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13310103332100 its reverse (123330101331), we get a palindrome (13433433433431).

The spelling of 13310103332100 in words is "thirteen trillion, three hundred ten billion, one hundred three million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 29833 59666 89499 119332 149165 178998 298330 357996 447495 596660 745825 894990 1487179 1491650 1789980 2237475 2974358 2983300 4461537 4474950 5948716 7435895 8923074 8949900 14871790 17846148 22307685 29743580 37179475 44615370 74358950 89230740 111538425 148717900 223076850 446153700 44367011107 88734022214 133101033321 177468044428 221835055535 266202066642 443670111070 532404133284 665505166605 887340222140 1109175277675 1331010333210 2218350555350 2662020666420 3327525833025 4436701110700 6655051666050 13310103332100