Search a number
-
+
1331123100 = 2235237119921
BaseRepresentation
bin100111101010111…
…0101001110011100
310102202202001121120
41033111311032130
510211231414400
6340030330540
744662234236
oct11725651634
93382661546
101331123100
1162342553a
12311959a50
13182a14208
14c8b03256
157bcdbca0
hex4f57539c

1331123100 has 72 divisors (see below), whose sum is σ = 3955507248. Its totient is φ = 345369600.

The previous prime is 1331123089. The next prime is 1331123107. The reversal of 1331123100 is 13211331.

It is a super-2 number, since 2×13311231002 = 3543777414707220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1331123100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331123107) 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, 48861 + ... + 71060.

Almost surely, 21331123100 is an apocalyptic number.

1331123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331123100 is an abundant number, since it is smaller than the sum of its proper divisors (2624384148).

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

1331123100 is a wasteful number, since it uses less digits than its factorization.

1331123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119975 (or 119968 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1331123100 is about 36484.5597479262. The cubic root of 1331123100 is about 1100.0339108003.

Adding to 1331123100 its reverse (13211331), we get a palindrome (1344334431).

The spelling of 1331123100 in words is "one billion, three hundred thirty-one million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 119921 239842 359763 479684 599605 719526 1199210 1439052 1798815 2398420 2998025 3597630 4437077 5996050 7195260 8874154 8994075 11992100 13311231 17748308 17988150 22185385 26622462 35976300 44370770 53244924 66556155 88741540 110926925 133112310 221853850 266224620 332780775 443707700 665561550 1331123100