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21112301310 = 23529241100693
BaseRepresentation
bin10011101010011001…
…000010011011111110
32000111100112000210120
4103222121002123332
5321214222120220
613410541515410
71345116412602
oct235231023376
960440460716
1021112301310
118a54386501
124112572b66
131cb5c747a9
141043d07502
15838731a40
hex4ea6426fe

21112301310 has 64 divisors (see below), whose sum is σ = 52634767680. Its totient is φ = 5413201920.

The previous prime is 21112301299. The next prime is 21112301317. The reversal of 21112301310 is 1310321112.

It is a happy number.

It is a super-2 number, since 2×211123013102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21112301310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112301317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159324 + ... + 260016.

It is an arithmetic number, because the mean of its divisors is an integer number (822418245).

Almost surely, 221112301310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112301310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26317383840).

21112301310 is an abundant number, since it is smaller than the sum of its proper divisors (31522466370).

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

21112301310 is a wasteful number, since it uses less digits than its factorization.

21112301310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100973.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 21112301310 its reverse (1310321112), we get a palindrome (22422622422).

It can be divided in two parts, 2111230 and 1310, that added together give a triangular number (2112540 = T2055).

The spelling of 21112301310 in words is "twenty-one billion, one hundred twelve million, three hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 241 290 435 482 723 870 1205 1446 2410 3615 6989 7230 13978 20967 34945 41934 69890 100693 104835 201386 209670 302079 503465 604158 1006930 1510395 2920097 3020790 5840194 8760291 14600485 17520582 24267013 29200970 43801455 48534026 72801039 87602910 121335065 145602078 242670130 364005195 703743377 728010390 1407486754 2111230131 3518716885 4222460262 7037433770 10556150655 21112301310