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23105356506 = 232171011514951
BaseRepresentation
bin10101100001001011…
…111100001011011010
32012122020210201112200
4111201023330023122
5334304432402011
614340415551030
71445400201261
oct254113741332
965566721480
1023105356506
11988740a361
124589b2b476
132242b59aab
1411928b55d8
159036c1856
hex5612fc2da

23105356506 has 96 divisors (see below), whose sum is σ = 53896617216. Its totient is φ = 7128000000.

The previous prime is 23105356471. The next prime is 23105356553. The reversal of 23105356506 is 60565350132.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4664331 + ... + 4669281.

It is an arithmetic number, because the mean of its divisors is an integer number (561423096).

Almost surely, 223105356506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23105356506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26948308608).

23105356506 is an abundant number, since it is smaller than the sum of its proper divisors (30791260710).

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

23105356506 is a wasteful number, since it uses less digits than its factorization.

23105356506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5228 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 23105356506 in words is "twenty-three billion, one hundred five million, three hundred fifty-six thousand, five hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 151 153 202 302 303 306 453 606 906 909 1359 1717 1818 2567 2718 3434 4951 5134 5151 7701 9902 10302 14853 15251 15402 15453 23103 29706 30502 30906 44559 45753 46206 84167 89118 91506 137259 168334 252501 259267 274518 500051 505002 518534 747601 757503 777801 1000102 1495202 1500153 1515006 1555602 2242803 2333403 3000306 4485606 4500459 4666806 6728409 8500867 9000918 12709217 13456818 17001734 25418434 25502601 38127651 51005202 75507701 76255302 76507803 114382953 151015402 153015606 226523103 228765906 453046206 679569309 1283630917 1359138618 2567261834 3850892751 7701785502 11552678253 23105356506