Search a number
-
+
102031311111300 = 223252113368123457
BaseRepresentation
bin10111001100110000000100…
…000011100000010010000100
3111101021002122111112122012200
4113030300010003200102010
5101333140111121030200
61001000312013314500
730330343001535144
oct2714600403402204
9441232574478180
10102031311111300
112a56826619834a
12b53a427795a30
1344c168559a9bc
141b2a4adcc0924
15bbe10655d800
hex5ccc040e0484

102031311111300 has 54 divisors (see below), whose sum is σ = 319811476275018. Its totient is φ = 27208349629440.

The previous prime is 102031311111277. The next prime is 102031311111337. The reversal of 102031311111300 is 3111113130201.

102031311111300 is a `hidden beast` number, since 1 + 0 + 20 + 31 + 311 + 1 + 1 + 1 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1958593536 + 102029352517764 = 44256^2 + 10100958^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56684060829 + ... + 56684062628.

Almost surely, 2102031311111300 is an apocalyptic number.

102031311111300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102031311111300 is an abundant number, since it is smaller than the sum of its proper divisors (217780165163718).

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

102031311111300 is a wasteful number, since it uses less digits than its factorization.

102031311111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113368123477 (or 113368123467 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 102031311111300 its reverse (3111113130201), we get a palindrome (105142424241501).

The spelling of 102031311111300 in words is "one hundred two trillion, thirty-one billion, three hundred eleven million, one hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 113368123457 226736246914 340104370371 453472493828 566840617285 680208740742 1020313111113 1133681234570 1360417481484 1700521851855 2040626222226 2267362469140 2834203086425 3401043703710 4081252444452 5101565555565 5668406172850 6802087407420 8502609259275 10203131111130 11336812345700 17005218518550 20406262222260 25507827777825 34010437037100 51015655555650 102031311111300