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113213104004 = 227111385732993
BaseRepresentation
bin110100101110000000…
…1101101111110000100
3101211020000102120110002
41221130001231332010
53323330023312004
6124002005420432
711115345335420
oct1513401557604
9354200376402
10113213104004
1144016933770
1219b36a0a718
13a8a30a6090
14569dc1db80
152e2923361e
hex1a5c06df84

113213104004 has 96 divisors (see below), whose sum is σ = 266329679616. Its totient is φ = 40667258880.

The previous prime is 113213103959. The next prime is 113213104019. The reversal of 113213104004 is 400401312311.

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, 3414932 + ... + 3447924.

It is an arithmetic number, because the mean of its divisors is an integer number (2774267496).

Almost surely, 2113213104004 is an apocalyptic number.

113213104004 is a gapful number since it is divisible by the number (14) 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 113213104004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133164839808).

113213104004 is an abundant number, since it is smaller than the sum of its proper divisors (153116575612).

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

113213104004 is a wasteful number, since it uses less digits than its factorization.

113213104004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33885 (or 33883 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 113213104004 its reverse (400401312311), we get a palindrome (513614416315).

The spelling of 113213104004 in words is "one hundred thirteen billion, two hundred thirteen million, one hundred four thousand, four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 857 1001 1714 2002 3428 4004 5999 9427 11141 11998 18854 22282 23996 32993 37708 44564 65986 65989 77987 122551 131972 131978 155974 230951 245102 263956 311948 362923 428909 461902 490204 725846 857818 857857 923804 1451692 1715636 1715714 2540461 3002363 3431428 4717999 5080922 6004726 9435998 10161844 12009452 18871996 28275001 33025993 56550002 66051986 113100004 132103972 197925007 311025011 367575013 395850014 622050022 735150026 791700028 1244100044 1470300052 2177175077 2573025091 4043325143 4354350154 5146050182 8086650286 8708700308 10292100364 16173300572 28303276001 56606552002 113213104004