Search a number
-
+
10114223240 = 2351137361627
BaseRepresentation
bin10010110101101101…
…01100110010001000
3222002212200202221202
421122312230302020
5131203220120430
64351342523332
7505432323212
oct113266546210
928085622852
1010114223240
114320240690
121b63296548
13c52570ba4
146bd3b75b2
153e2e21d45
hex25adacc88

10114223240 has 64 divisors (see below), whose sum is σ = 24892781760. Its totient is φ = 3667979520.

The previous prime is 10114223221. The next prime is 10114223281. The reversal of 10114223240 is 4232241101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133307 + ... + 194933.

It is an arithmetic number, because the mean of its divisors is an integer number (388949715).

Almost surely, 210114223240 is an apocalyptic number.

10114223240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10114223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12446390880).

10114223240 is an abundant number, since it is smaller than the sum of its proper divisors (14778558520).

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

10114223240 is a wasteful number, since it uses less digits than its factorization.

10114223240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62022 (or 62018 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10114223240 its reverse (4232241101), we get a palindrome (14346464341).

The spelling of 10114223240 in words is "ten billion, one hundred fourteen million, two hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 373 440 746 1492 1865 2984 3730 4103 7460 8206 14920 16412 20515 32824 41030 61627 82060 123254 164120 246508 308135 493016 616270 677897 1232540 1355794 2465080 2711588 3389485 5423176 6778970 13557940 22986871 27115880 45973742 91947484 114934355 183894968 229868710 252855581 459737420 505711162 919474840 1011422324 1264277905 2022844648 2528555810 5057111620 10114223240