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113201321122110 = 235137334711458679
BaseRepresentation
bin11001101111010010111100…
…100010001001100100111110
3112211210221101201000200220010
4121233102330202021210332
5104314142301201401420
61040431545145404050
732562345160212624
oct3157227442114476
9484727351020803
10113201321122110
1133084457691721
1210843211499626
134b21ab9a42590
141dd4d8a577514
15d1495d38e4e0
hex66f4bc88993e

113201321122110 has 128 divisors (see below), whose sum is σ = 297444598778880. Its totient is φ = 27404024288256.

The previous prime is 113201321122033. The next prime is 113201321122133. The reversal of 113201321122110 is 11221123102311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4149751 + ... + 15608429.

It is an arithmetic number, because the mean of its divisors is an integer number (2323785927960).

Almost surely, 2113201321122110 is an apocalyptic number.

113201321122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113201321122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148722299389440).

113201321122110 is an abundant number, since it is smaller than the sum of its proper divisors (184243277656770).

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

113201321122110 is a wasteful number, since it uses less digits than its factorization.

113201321122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11459122.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 113201321122110 its reverse (11221123102311), we get a palindrome (124422444224421).

The spelling of 113201321122110 in words is "one hundred thirteen trillion, two hundred one billion, three hundred twenty-one million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 73 78 130 146 195 219 347 365 390 438 694 730 949 1041 1095 1735 1898 2082 2190 2847 3470 4511 4745 5205 5694 9022 9490 10410 13533 14235 22555 25331 27066 28470 45110 50662 67665 75993 126655 135330 151986 253310 329303 379965 658606 759930 987909 1646515 1975818 3293030 4939545 9879090 11458679 22917358 34376037 57293395 68752074 114586790 148962827 171880185 297925654 343760370 446888481 744814135 836483567 893776962 1489628270 1672967134 2234442405 2509450701 3976161613 4182417835 4468884810 5018901402 7952323226 8364835670 10874286371 11928484839 12547253505 19880808065 21748572742 23856969678 25094507010 32622859113 39761616130 51690100969 54371431855 59642424195 65245718226 103380201938 108742863710 119284848390 155070302907 163114295565 258450504845 290259797749 310140605814 326228591130 516901009690 580519595498 775351514535 870779393247 1451298988745 1550703029070 1741558786494 2902597977490 3773377370737 4353896966235 7546754741474 8707793932470 11320132112211 18866886853685 22640264224422 37733773707370 56600660561055 113201321122110