Search a number
-
+
23111203302 = 23211367557571
BaseRepresentation
bin10101100001100010…
…001111100111100110
32012122122210202211200
4111201202033213212
5334312432001202
614341145143330
71445500662315
oct254142174746
965578722750
1023111203302
11988a743120
12458ba8ab46
132244126135
14119359827c
15903e78e1c
hex56188f9e6

23111203302 has 96 divisors (see below), whose sum is σ = 54969767424. Its totient is φ = 6959563200.

The previous prime is 23111203289. The next prime is 23111203307. The reversal of 23111203302 is 20330211132.

23111203302 is a `hidden beast` number, since 2 + 311 + 1 + 20 + 330 + 2 = 666.

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 (23111203307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40474677 + ... + 40475247.

It is an arithmetic number, because the mean of its divisors is an integer number (572601744).

Almost surely, 223111203302 is an apocalyptic number.

23111203302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23111203302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27484883712).

23111203302 is an abundant number, since it is smaller than the sum of its proper divisors (31858564122).

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

23111203302 is a wasteful number, since it uses less digits than its factorization.

23111203302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1511 counting only the distinct ones).

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

Adding to 23111203302 its reverse (20330211132), we get a palindrome (43441414434).

The spelling of 23111203302 in words is "twenty-three billion, one hundred eleven million, two hundred three thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 367 557 571 734 1101 1114 1142 1671 1713 2202 3303 3342 3426 4037 5013 5139 6127 6281 6606 8074 10026 10278 12111 12254 12562 18381 18843 24222 36333 36762 37686 55143 56529 72666 110286 113058 204419 209557 318047 408838 419114 613257 628671 636094 954141 1226514 1257342 1839771 1886013 1908282 2248609 2305127 2862423 3498517 3679542 3772026 4497218 4610254 5724846 6745827 6915381 6997034 10495551 13491654 13830762 20237481 20746143 20991102 31486653 40474962 41492286 62973306 116723249 233446498 350169747 700339494 1050509241 1283955739 2101018482 2567911478 3851867217 7703734434 11555601651 23111203302