Search a number
-
+
1132233300312 = 233438319368489
BaseRepresentation
bin10000011110011110010…
…111010001100101011000
311000020111021201002012020
4100132132113101211120
5122022303211102222
62224050225014440
7144541540155012
oct20363627214530
94006437632166
101132233300312
113a71a51a9664
12163526784420
13829cca60c3a
143cb2c37b1b2
151e6ba6c365c
hex1079e5d1958

1132233300312 has 128 divisors (see below), whose sum is σ = 2946538425600. Its totient is φ = 362300424192.

The previous prime is 1132233300311. The next prime is 1132233300427. The reversal of 1132233300312 is 2130033322311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132233300311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16497364 + ... + 16565852.

It is an arithmetic number, because the mean of its divisors is an integer number (23019831450).

Almost surely, 21132233300312 is an apocalyptic number.

1132233300312 is a gapful number since it is divisible by the number (12) 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 1132233300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473269212800).

1132233300312 is an abundant number, since it is smaller than the sum of its proper divisors (1814305125288).

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

1132233300312 is a wasteful number, since it uses less digits than its factorization.

1132233300312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68817 (or 68813 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1132233300312 its reverse (2130033322311), we get a palindrome (3262266622623).

The spelling of 1132233300312 in words is "one trillion, one hundred thirty-two billion, two hundred thirty-three million, three hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 83 86 129 166 172 193 249 258 332 344 386 498 516 579 664 772 996 1032 1158 1544 1992 2316 3569 4632 7138 8299 10707 14276 16019 16598 21414 24897 28552 32038 33196 42828 48057 49794 64076 66392 68489 85656 96114 99588 128152 136978 192228 199176 205467 273956 384456 410934 547912 688817 821868 1377634 1643736 2066451 2755268 2945027 4132902 5510536 5684587 5890054 8265804 8835081 11369174 11780108 13218377 16531608 17053761 17670162 22738348 23560216 26436754 34107522 35340324 39655131 45476696 52873508 68215044 70680648 79310262 105747016 136430088 158620524 244437241 317241048 488874482 568390211 733311723 977748964 1097125291 1136780422 1466623446 1705170633 1955497928 2194250582 2273560844 2933246892 3291375873 3410341266 4388501164 4547121688 5866493784 6582751746 6820682532 8777002328 13165503492 13641365064 26331006984 47176387513 94352775026 141529162539 188705550052 283058325078 377411100104 566116650156 1132233300312