Search a number
-
+
101223121344 = 263527203757
BaseRepresentation
bin101111001000101011…
…1100100000111000000
3100200021102011100022020
41132101113210013000
53124301104340334
6114300134441440
710212255222642
oct1362127440700
9320242140266
10101223121344
1139a238a4294
121774b503280
13971203ac97
144c8368c892
1529767e0e49
hex17915e41c0

101223121344 has 28 divisors (see below), whose sum is σ = 267819509064. Its totient is φ = 33741040384.

The previous prime is 101223121343. The next prime is 101223121367. The reversal of 101223121344 is 443121322101.

It is a super-2 number, since 2×1012231213442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101223121343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 263601687 + ... + 263602070.

Almost surely, 2101223121344 is an apocalyptic number.

It is an amenable number.

101223121344 is an abundant number, since it is smaller than the sum of its proper divisors (166596387720).

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

101223121344 is an equidigital number, since it uses as much as digits as its factorization.

101223121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527203772 (or 527203762 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 101223121344 its reverse (443121322101), we get a palindrome (544344443445).

The spelling of 101223121344 in words is "one hundred one billion, two hundred twenty-three million, one hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 527203757 1054407514 1581611271 2108815028 3163222542 4217630056 6326445084 8435260112 12652890168 16870520224 25305780336 33741040448 50611560672 101223121344