Search a number
-
+
2210312011032 = 233385911912603
BaseRepresentation
bin100000001010100000110…
…111001011110100011000
321211022012102222222021000
4200022200313023310120
5242203204333323112
64411223041145000
7315455410050126
oct40124067136430
97738172888230
102210312011032
1178242a564554
122b845902b160
1313057c0b5808
1478da0312916
153c7668e27dc
hex202a0dcbd18

2210312011032 has 64 divisors (see below), whose sum is σ = 6146903664000. Its totient is φ = 735912901152.

The previous prime is 2210312011031. The next prime is 2210312011049. The reversal of 2210312011032 is 2301102130122.

2210312011032 is a `hidden beast` number, since 2 + 210 + 312 + 0 + 110 + 32 = 666.

It is a super-2 number, since 2×22103120110322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2210312010996 and 2210312011014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210312011031) 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 15 ways as a sum of consecutive naturals, for example, 5770758 + ... + 6141845.

It is an arithmetic number, because the mean of its divisors is an integer number (96045369750).

Almost surely, 22210312011032 is an apocalyptic number.

It is an amenable number.

2210312011032 is an abundant number, since it is smaller than the sum of its proper divisors (3936591652968).

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

2210312011032 is a wasteful number, since it uses less digits than its factorization.

2210312011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11913477 (or 11913467 counting only the distinct ones).

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

Adding to 2210312011032 its reverse (2301102130122), we get a palindrome (4511414141154).

The spelling of 2210312011032 in words is "two trillion, two hundred ten billion, three hundred twelve million, eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 859 1718 2577 3436 5154 6872 7731 10308 15462 20616 23193 30924 46386 61848 92772 185544 11912603 23825206 35737809 47650412 71475618 95300824 107213427 142951236 214426854 285902472 321640281 428853708 643280562 857707416 1286561124 2573122248 10232925977 20465851954 30698777931 40931703908 61397555862 81863407816 92096333793 122795111724 184192667586 245590223448 276289001379 368385335172 552578002758 736770670344 1105156005516 2210312011032