Search a number
-
+
1320033112100 = 225279211791909
BaseRepresentation
bin10011001101011000000…
…110101101000000100100
311200012020101011222201222
4103031120012231000210
5133111411434041400
62450225334435512
7164240436215123
oct23153006550044
94605211158658
101320033112100
1146990630788a
121939b8502b98
139762b5c6721
1447c6600daba
152450ca32185
hex133581ad024

1320033112100 has 72 divisors (see below), whose sum is σ = 2914482211200. Its totient is φ = 518858121600.

The previous prime is 1320033112051. The next prime is 1320033112103. The reversal of 1320033112100 is 12113300231.

It is a super-2 number, since 2×13200331121002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1320033112103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1270946 + ... + 2062854.

It is an arithmetic number, because the mean of its divisors is an integer number (40478919600).

Almost surely, 21320033112100 is an apocalyptic number.

1320033112100 is a gapful number since it is divisible by the number (10) 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 1320033112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457241105600).

1320033112100 is an abundant number, since it is smaller than the sum of its proper divisors (1594449099100).

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

1320033112100 is a wasteful number, since it uses less digits than its factorization.

1320033112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792213 (or 792206 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1320033112100 its reverse (12113300231), we get a palindrome (1332146412331).

The spelling of 1320033112100 in words is "one trillion, three hundred twenty billion, thirty-three million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 211 316 395 422 790 844 1055 1580 1975 2110 3950 4220 5275 7900 10550 16669 21100 33338 66676 83345 166690 333380 416725 791909 833450 1583818 1666900 3167636 3959545 7919090 15838180 19797725 39595450 62560811 79190900 125121622 167092799 250243244 312804055 334185598 625608110 668371196 835463995 1251216220 1564020275 1670927990 3128040550 3341855980 4177319975 6256081100 8354639950 13200331121 16709279900 26400662242 52801324484 66001655605 132003311210 264006622420 330008278025 660016556050 1320033112100