Search a number
-
+
1213100112301 = 721110148745757
BaseRepresentation
bin10001101001110010011…
…001101011100110101101
311021222020000212202200221
4101221302121223212231
5124333412112043201
62325142425251341
7153433515551200
oct21516231534655
94258200782627
101213100112301
1142852242a390
12177134933b51
138a51963c34c
1442a002b3937
152184ed154a1
hex11a7266b9ad

1213100112301 has 48 divisors (see below), whose sum is σ = 1557912742272. Its totient is φ = 933971472000.

The previous prime is 1213100112299. The next prime is 1213100112313. The reversal of 1213100112301 is 1032110013121.

It is a happy number.

It is not a de Polignac number, because 1213100112301 - 21 = 1213100112299 is a prime.

It is a super-2 number, since 2×12131001123012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213100112391) 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, 26488915 + ... + 26534671.

It is an arithmetic number, because the mean of its divisors is an integer number (32456515464).

Almost surely, 21213100112301 is an apocalyptic number.

1213100112301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1213100112301 is a deficient number, since it is larger than the sum of its proper divisors (344812629971).

1213100112301 is a wasteful number, since it uses less digits than its factorization.

1213100112301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46370 (or 46363 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1213100112301 its reverse (1032110013121), we get a palindrome (2245210125422).

The spelling of 1213100112301 in words is "one trillion, two hundred thirteen billion, one hundred million, one hundred twelve thousand, three hundred one".

Divisors: 1 7 11 49 77 101 487 539 707 1111 3409 4949 5357 7777 23863 37499 45757 49187 54439 262493 320299 344309 503327 541057 2242093 2410163 3523289 3787399 4621457 22283659 24663023 26511793 32350199 50836027 155985613 226451393 245120249 355852189 1091899291 1715841743 2250649559 2490965323 12010892201 15754546913 24757145149 110281828391 173300016043 1213100112301