Search a number
-
+
23202113112 = 23321919188799
BaseRepresentation
bin10101100110111101…
…000010011001011000
32012212222212110122200
4111212331002121120
5340004220104422
614354153450200
71450653464433
oct254675023130
965788773580
1023202113112
119926a95aa2
1245b6410960
132259c06219
1411a16a081a
1590be352ac
hex566f42658

23202113112 has 96 divisors (see below), whose sum is σ = 66493440000. Its totient is φ = 7288539840.

The previous prime is 23202113101. The next prime is 23202113119. The reversal of 23202113112 is 21131120232.

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 (23202113119) 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, 216889 + ... + 305687.

It is an arithmetic number, because the mean of its divisors is an integer number (692640000).

Almost surely, 223202113112 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 23202113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33246720000).

23202113112 is an abundant number, since it is smaller than the sum of its proper divisors (43291326888).

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

23202113112 is a wasteful number, since it uses less digits than its factorization.

23202113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89021 (or 89014 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23202113112 its reverse (21131120232), we get a palindrome (44333233344).

The spelling of 23202113112 in words is "twenty-three billion, two hundred two million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 191 228 342 382 456 573 684 764 1146 1368 1528 1719 2292 3438 3629 4584 6876 7258 10887 13752 14516 21774 29032 32661 43548 65322 87096 88799 130644 177598 261288 266397 355196 532794 710392 799191 1065588 1598382 1687181 2131176 3196764 3374362 5061543 6393528 6748724 10123086 13497448 15184629 16960609 20246172 30369258 33921218 40492344 50881827 60738516 67842436 101763654 121477032 135684872 152645481 203527308 305290962 322251571 407054616 610581924 644503142 966754713 1221163848 1289006284 1933509426 2578012568 2900264139 3867018852 5800528278 7734037704 11601056556 23202113112