Search a number
-
+
2232030122100 = 223352826677823
BaseRepresentation
bin100000011110101111010…
…111001101000001110100
321220101021000110022211000
4200132233113031001310
5243032144202401400
64425214103443300
7320154534000162
oct40365727150164
97811230408730
102232030122100
117906648a6879
123006ba456530
1313263070b3cc
147a060876232
153d0d83dd600
hex207af5cd074

2232030122100 has 72 divisors (see below), whose sum is σ = 7175563512320. Its totient is φ = 595208031840.

The previous prime is 2232030122099. The next prime is 2232030122107. The reversal of 2232030122100 is 12210302322.

2232030122100 is a `hidden beast` number, since 22 + 320 + 301 + 2 + 21 + 0 + 0 = 666.

2232030122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22320301221003 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232030122107) 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, 413336212 + ... + 413341611.

Almost surely, 22232030122100 is an apocalyptic number.

2232030122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232030122100 is an abundant number, since it is smaller than the sum of its proper divisors (4943533390220).

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

2232030122100 is a wasteful number, since it uses less digits than its factorization.

2232030122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826677846 (or 826677833 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2232030122100 its reverse (12210302322), we get a palindrome (2244240424422).

The spelling of 2232030122100 in words is "two trillion, two hundred thirty-two billion, thirty million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 826677823 1653355646 2480033469 3306711292 4133389115 4960066938 7440100407 8266778230 9920133876 12400167345 14880200814 16533556460 20666945575 22320301221 24800334690 29760401628 37200502035 41333891150 44640602442 49600669380 62000836725 74401004070 82667782300 89281204884 111601506105 124001673450 148802008140 186002510175 223203012210 248003346900 372005020350 446406024420 558007530525 744010040700 1116015061050 2232030122100