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13113201222120 = 2335281409950819
BaseRepresentation
bin1011111011010010011110…
…1100110110000111101000
31201102121110112120102211210
42332310213230312013220
53204321314003101440
643520042123353120
72522253231202056
oct276644754660750
951377415512753
1013113201222120
1141a630625841a
1215795146827a0
1374175346119c
1433497a4311d6
1517b18781ea80
hexbed27b361e8

13113201222120 has 128 divisors (see below), whose sum is σ = 39576171024000. Its totient is φ = 3475886346240.

The previous prime is 13113201222113. The next prime is 13113201222127. The reversal of 13113201222120 is 2122210231131.

It is an interprime number because it is at equal distance from previous prime (13113201222113) and next prime (13113201222127).

It is not an unprimeable number, because it can be changed into a prime (13113201222127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13316071 + ... + 14266889.

It is an arithmetic number, because the mean of its divisors is an integer number (309188836125).

Almost surely, 213113201222120 is an apocalyptic number.

13113201222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13113201222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19788085512000).

13113201222120 is an abundant number, since it is smaller than the sum of its proper divisors (26462969801880).

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

13113201222120 is a wasteful number, since it uses less digits than its factorization.

13113201222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951523 (or 951519 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13113201222120 its reverse (2122210231131), we get a palindrome (15235411453251).

The spelling of 13113201222120 in words is "thirteen trillion, one hundred thirteen billion, two hundred one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 281 409 562 818 843 1124 1227 1405 1636 1686 2045 2248 2454 2810 3272 3372 4090 4215 4908 5620 6135 6744 8180 8430 9816 11240 12270 16360 16860 24540 33720 49080 114929 229858 344787 459716 574645 689574 919432 950819 1149290 1379148 1723935 1901638 2298580 2758296 2852457 3447870 3803276 4597160 4754095 5704914 6895740 7606552 9508190 11409828 13791480 14262285 19016380 22819656 28524570 38032760 57049140 114098280 267180139 388884971 534360278 777769942 801540417 1068720556 1166654913 1335900695 1555539884 1603080834 1944424855 2137441112 2333309826 2671801390 3111079768 3206161668 3888849710 4007702085 4666619652 5343602780 5833274565 6412323336 7777699420 8015404170 9333239304 10687205560 11666549130 15555398840 16030808340 23333098260 32061616680 46666196520 109276676851 218553353702 327830030553 437106707404 546383384255 655660061106 874213414808 1092766768510 1311320122212 1639150152765 2185533537020 2622640244424 3278300305530 4371067074040 6556600611060 13113201222120