Search a number
-
+
1332311111120 = 2451110114989999
BaseRepresentation
bin10011011000110011111…
…011100011010111010000
311201100221001101222001102
4103120303323203113100
5133312033121023440
62500015534523532
7165153624406463
oct23306373432720
94640831358042
101332311111120
11474036986210
121962643665a8
1398837224bc2
14486ac9152da
15249ca8b7b15
hex13633ee35d0

1332311111120 has 80 divisors (see below), whose sum is σ = 3412683360000. Its totient is φ = 479679936000.

The previous prime is 1332311111119. The next prime is 1332311111123. The reversal of 1332311111120 is 211111132331.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 1332311111092 and 1332311111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332311111123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7406120 + ... + 7583879.

It is an arithmetic number, because the mean of its divisors is an integer number (42658542000).

Almost surely, 21332311111120 is an apocalyptic number.

1332311111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332311111120 is an abundant number, since it is smaller than the sum of its proper divisors (2080372248880).

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

1332311111120 is a wasteful number, since it uses less digits than its factorization.

1332311111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14990124 (or 14990118 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 1332311111120 its reverse (211111132331), we get a palindrome (1543422243451).

The spelling of 1332311111120 in words is "one trillion, three hundred thirty-two billion, three hundred eleven million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 8080 8888 11110 17776 22220 44440 88880 14989999 29979998 59959996 74949995 119919992 149899990 164889989 239839984 299799980 329779978 599599960 659559956 824449945 1199199920 1319119912 1513989899 1648899890 2638239824 3027979798 3297799780 6055959596 6595599560 7569949495 12111919192 13191199120 15139898990 16653888889 24223838384 30279797980 33307777778 60559595960 66615555556 83269444445 121119191920 133231111112 166538888890 266462222224 333077777780 666155555560 1332311111120