Search a number
-
+
123330040040200 = 23527187314703053
BaseRepresentation
bin11100000010101100000011…
…001110100000101100001000
3121011200020101112121111100011
4130002230003032200230020
5112131114410222241300
61114145012131521304
734656205235406010
oct3402540316405410
9534606345544304
10123330040040200
1136329a81438a94
12119ba230a59234
1353a7c8552c496
1422652c4976c40
15e3d16d940eba
hex702b033a0b08

123330040040200 has 96 divisors (see below), whose sum is σ = 327723100004160. Its totient is φ = 42282318700800.

The previous prime is 123330040040197. The next prime is 123330040040213. The reversal of 123330040040200 is 2040040033321.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23871874 + ... + 28574926.

It is an arithmetic number, because the mean of its divisors is an integer number (3413782291710).

Almost surely, 2123330040040200 is an apocalyptic number.

123330040040200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123330040040200 is an abundant number, since it is smaller than the sum of its proper divisors (204393059963960).

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

123330040040200 is a wasteful number, since it uses less digits than its factorization.

123330040040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721807 (or 4721798 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 123330040040200 its reverse (2040040033321), we get a palindrome (125370080073521).

The spelling of 123330040040200 in words is "one hundred twenty-three trillion, three hundred thirty billion, forty million, forty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 18731 37462 74924 93655 131117 149848 187310 262234 374620 468275 524468 655585 749240 936550 1048936 1311170 1873100 2622340 3277925 3746200 4703053 5244680 6555850 9406106 13111700 18812212 23515265 26223400 32921371 37624424 47030530 65842742 94061060 117576325 131685484 164606855 188122120 235152650 263370968 329213710 470305300 658427420 823034275 940610600 1316854840 1646068550 3292137100 6584274200 88092885743 176185771486 352371542972 440464428715 616650200201 704743085944 880928857430 1233300400402 1761857714860 2202322143575 2466600800804 3083251001005 3523715429720 4404644287150 4933201601608 6166502002010 8809288574300 12333004004020 15416255005025 17618577148600 24666008008040 30832510010050 61665020020100 123330040040200