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23100333032 = 23722919110639
BaseRepresentation
bin10101100000111000…
…110001101111101000
32012121220100111122002
4111200320301233220
5334302141124112
614340120150132
71445306406500
oct254070615750
965556314562
1023100333032
119884599127
124588308348
132241abb41a
141191d68a00
1590302d1c2
hex560e31be8

23100333032 has 96 divisors (see below), whose sum is σ = 52399872000. Its totient is φ = 9507818880.

The previous prime is 23100333031. The next prime is 23100333043. The reversal of 23100333032 is 23033300132.

It is a junction number, because it is equal to n+sod(n) for n = 23100332995 and 23100333013.

It is not an unprimeable number, because it can be changed into a prime (23100333031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2165969 + ... + 2176607.

It is an arithmetic number, because the mean of its divisors is an integer number (545832000).

Almost surely, 223100333032 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 23100333032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26199936000).

23100333032 is an abundant number, since it is smaller than the sum of its proper divisors (29299538968).

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

23100333032 is a wasteful number, since it uses less digits than its factorization.

23100333032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10879 (or 10868 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 23100333032 its reverse (23033300132), we get a palindrome (46133633164).

The spelling of 23100333032 in words is "twenty-three billion, one hundred million, three hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 191 196 203 232 382 392 406 764 812 1337 1421 1528 1624 2674 2842 5348 5539 5684 9359 10639 10696 11078 11368 18718 21278 22156 37436 38773 42556 44312 74473 74872 77546 85112 148946 155092 271411 297892 308531 310184 521311 542822 595784 617062 1042622 1085644 1234124 2032049 2085244 2159717 2171288 2468248 4064098 4170488 4319434 8128196 8638868 14224343 15118019 16256392 17277736 28448686 30236038 56897372 58929421 60472076 99570401 113794744 117858842 120944152 199140802 235717684 398281604 412505947 471435368 796563208 825011894 1650023788 2887541629 3300047576 5775083258 11550166516 23100333032