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113022142131210 = 235131013262187959
BaseRepresentation
bin11001101100101100000100…
…101000100010110000001010
3112211011210220102010212101220
4121230230010220202300022
5104303223321341144320
61040213353314022510
732543403021010224
oct3154540450426012
9484153812125356
10113022142131210
113301546a82a864
1210814546877a36
134b0ac33228740
141dca42d815414
15d0ee72cace40
hex66cb04a22c0a

113022142131210 has 128 divisors (see below), whose sum is σ = 295023430033920. Its totient is φ = 27544223616000.

The previous prime is 113022142131179. The next prime is 113022142131257. The reversal of 113022142131210 is 12131241220311.

It is a super-2 number, since 2×1130221421312102 (a number of 29 digits) contains 22 as substring.

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, 1284897211 + ... + 1284985169.

It is an arithmetic number, because the mean of its divisors is an integer number (2304870547140).

Almost surely, 2113022142131210 is an apocalyptic number.

113022142131210 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 113022142131210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147511715016960).

113022142131210 is an abundant number, since it is smaller than the sum of its proper divisors (182001287902710).

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

113022142131210 is a wasteful number, since it uses less digits than its factorization.

113022142131210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120704.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 113022142131210 its reverse (12131241220311), we get a palindrome (125153383351521).

The spelling of 113022142131210 in words is "one hundred thirteen trillion, twenty-two billion, one hundred forty-two million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 101 130 195 202 303 390 505 606 1010 1313 1515 2626 3030 3939 6565 7878 13130 19695 32621 39390 65242 87959 97863 163105 175918 195726 263877 326210 424073 439795 489315 527754 848146 879590 978630 1143467 1272219 1319385 2120365 2286934 2544438 2638770 3294721 3430401 4240730 5717335 6361095 6589442 6860802 8883859 9884163 11434670 12722190 16473605 17152005 17767718 19768326 26651577 32947210 34304010 42831373 44419295 49420815 53303154 85662746 88838590 98841630 115490167 128494119 133257885 214156865 230980334 256988238 266515770 346470501 428313730 577450835 642470595 692941002 1154901670 1284941190 1732352505 2869310539 3464705010 5738621078 8607931617 14346552695 17215863234 28693105390 37301037007 43039658085 74602074014 86079316170 111903111021 186505185035 223806222042 289800364439 373010370070 559515555105 579600728878 869401093317 1119031110210 1449001822195 1738802186634 2898003644390 3767404737707 4347005466585 7534809475414 8694010933170 11302214213121 18837023688535 22604428426242 37674047377070 56511071065605 113022142131210