Search a number
-
+
113111003121312 = 25371671007903863
BaseRepresentation
bin11001101101111110110101…
…001010010100011010100000
3112211111022021021202212200110
4121231332311022110122200
5104311202313244340222
61040322251045251320
732553000046655220
oct3155766512243240
9484438237685613
10113111003121312
113304a11a511959
1210829806103b40
134b1642508c061
141dd085d33c080
15d1242414a30c
hex66dfb52946a0

113111003121312 has 96 divisors (see below), whose sum is σ = 341364943890432. Its totient is φ = 32123911889664.

The previous prime is 113111003121271. The next prime is 113111003121377. The reversal of 113111003121312 is 213121300111311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503839708 + ... + 504064155.

It is an arithmetic number, because the mean of its divisors is an integer number (3555884832192).

Almost surely, 2113111003121312 is an apocalyptic number.

113111003121312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113111003121312 is an abundant number, since it is smaller than the sum of its proper divisors (228253940769120).

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

113111003121312 is a wasteful number, since it uses less digits than its factorization.

113111003121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007904050 (or 1007904042 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 113111003121312 its reverse (213121300111311), we get a palindrome (326232303232623).

The spelling of 113111003121312 in words is "one hundred thirteen trillion, one hundred eleven billion, three million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 167 168 224 334 336 501 668 672 1002 1169 1336 2004 2338 2672 3507 4008 4676 5344 7014 8016 9352 14028 16032 18704 28056 37408 56112 112224 1007903863 2015807726 3023711589 4031615452 6047423178 7055327041 8063230904 12094846356 14110654082 16126461808 21165981123 24189692712 28221308164 32252923616 42331962246 48379385424 56442616328 84663924492 96758770848 112885232656 168319945121 169327848984 225770465312 336639890242 338655697968 504959835363 673279780484 677311395936 1009919670726 1178239615847 1346559560968 2019839341452 2356479231694 2693119121936 3534718847541 4039678682904 4712958463388 5386238243872 7069437695082 8079357365808 9425916926776 14138875390164 16158714731616 18851833853552 28277750780328 37703667707104 56555501560656 113111003121312