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13310022111100 = 22521113930770777
BaseRepresentation
bin1100000110101111101100…
…1000111100111101111100
31202010102111022210112212121
43001223323020330331330
53221032411130023400
644150312330212324
72542421520146611
oct301537310747574
952112438715777
1013310022111100
114271826543440
1215ab6a35840a4
1375718bc46780
143402cc204508
15181356b2021a
hexc1afb23cf7c

13310022111100 has 72 divisors (see below), whose sum is σ = 33932179482768. Its totient is φ = 4467699724800.

The previous prime is 13310022111079. The next prime is 13310022111149. The reversal of 13310022111100 is 111122001331.

It is a happy number.

It is a super-4 number, since 4×133100221111004 (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

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, 465371089 + ... + 465399688.

It is an arithmetic number, because the mean of its divisors is an integer number (471280270594).

Almost surely, 213310022111100 is an apocalyptic number.

13310022111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13310022111100 is an abundant number, since it is smaller than the sum of its proper divisors (20622157371668).

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

13310022111100 is a wasteful number, since it uses less digits than its factorization.

13310022111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930770815 (or 930770808 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13310022111100 its reverse (111122001331), we get a palindrome (13421144112431).

The spelling of 13310022111100 in words is "thirteen trillion, three hundred ten billion, twenty-two million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2860 3575 7150 14300 930770777 1861541554 3723083108 4653853885 9307707770 10238478547 12100020101 18615415540 20476957094 23269269425 24200040202 40953914188 46538538850 48400080404 51192392735 60500100505 93077077700 102384785470 121000201010 133100221111 204769570940 242000402020 255961963675 266200442222 302500502525 511923927350 532400884444 605001005050 665501105555 1023847854700 1210002010100 1331002211110 2662004422220 3327505527775 6655011055550 13310022111100