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233000112132 = 22327989210343
BaseRepresentation
bin1101100011111111100…
…0111001000000000100
3211021102011211002000200
43120333320321000010
512304141012042012
6255012213010500
722555650163314
oct3307770710004
9737364732020
10233000112132
118a8a6541947
12391a7323a30
1318c83107848
14b3c4b61444
1560da6653dc
hex363fe39004

233000112132 has 108 divisors (see below), whose sum is σ = 603262907520. Its totient is φ = 75814637184.

The previous prime is 233000112127. The next prime is 233000112253. The reversal of 233000112132 is 231211000332.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22522153 + ... + 22532495.

Almost surely, 2233000112132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233000112132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301631453760).

233000112132 is an abundant number, since it is smaller than the sum of its proper divisors (370262795388).

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

233000112132 is a wasteful number, since it uses less digits than its factorization.

233000112132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10610 (or 10516 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 233000112132 its reverse (231211000332), we get a palindrome (464211112464).

The spelling of 233000112132 in words is "two hundred thirty-three billion, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 89 158 178 237 267 316 356 474 534 711 801 948 1068 1422 1602 2844 3204 7031 7921 10343 14062 15842 20686 21093 23763 28124 31029 31684 41372 42186 47526 62058 63279 71289 84372 93087 95052 124116 126558 142578 186174 253116 285156 372348 625759 817097 920527 1251518 1634194 1841054 1877277 2451291 2503036 2761581 3268388 3682108 3754554 4902582 5523162 5631831 7353873 7509108 8284743 9805164 11046324 11263662 14707746 16569486 22527324 29415492 33138972 72721633 81926903 145443266 163853806 218164899 245780709 290886532 327707612 436329798 491561418 654494697 737342127 872659596 983122836 1308989394 1474684254 2617978788 2949368508 6472225337 12944450674 19416676011 25888901348 38833352022 58250028033 77666704044 116500056066 233000112132