Search a number
-
+
112102101221120 = 285293019991951
BaseRepresentation
bin11001011111010011001101…
…111010111111111100000000
3112200220212010011212001211022
4121133103031322333330000
5104143140100403033440
61034230554440205012
732420052400214333
oct3137231572777400
9480825104761738
10112102101221120
11327a026370965a
12106a617aa69768
134a7224b76cb6a
141d97ab093861a
15ce6076133cb5
hex65f4cdebff00

112102101221120 has 72 divisors (see below), whose sum is σ = 277778859744960. Its totient is φ = 43294604595200.

The previous prime is 112102101221113. The next prime is 112102101221129. The reversal of 112102101221120 is 21122101201211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102101221129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1509958856 + ... + 1510033095.

It is an arithmetic number, because the mean of its divisors is an integer number (3858039718680).

Almost surely, 2112102101221120 is an apocalyptic number.

112102101221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112102101221120 is an abundant number, since it is smaller than the sum of its proper divisors (165676758523840).

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

112102101221120 is an equidigital number, since it uses as much as digits as its factorization.

112102101221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019992001 (or 3019991987 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112102101221120 its reverse (21122101201211), we get a palindrome (133224202422331).

The spelling of 112102101221120 in words is "one hundred twelve trillion, one hundred two billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 580 640 928 1160 1280 1856 2320 3712 4640 7424 9280 18560 37120 3019991951 6039983902 12079967804 15099959755 24159935608 30199919510 48319871216 60399839020 87579766579 96639742432 120799678040 175159533158 193279484864 241599356080 350319066316 386558969728 437898832895 483198712160 700638132632 773117939456 875797665790 966397424320 1401276265264 1751595331580 1932794848640 2802552530528 3503190663160 3865589697280 5605105061056 7006381326320 11210210122112 14012762652640 22420420244224 28025525305280 56051050610560 112102101221120