Search a number
-
+
1120031331210 = 2325111161797387
BaseRepresentation
bin10000010011000111000…
…100011101001110001010
310222001222220112211022200
4100103013010131032022
5121322311010044320
62214311342301030
7143630264143041
oct20230704351612
93861886484280
101120031331210
113a200353a680
121610a0287776
1381806b02a8c
143c2d19c7558
151e20435a290
hex104c711d38a

1120031331210 has 96 divisors (see below), whose sum is σ = 3177122225472. Its totient is φ = 271496586240.

The previous prime is 1120031331191. The next prime is 1120031331217. The reversal of 1120031331210 is 121331300211.

1120031331210 is a `hidden beast` number, since 1 + 120 + 0 + 3 + 1 + 331 + 210 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1120031331217) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11452137 + ... + 11549523.

It is an arithmetic number, because the mean of its divisors is an integer number (33095023182).

Almost surely, 21120031331210 is an apocalyptic number.

1120031331210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1120031331210 is an abundant number, since it is smaller than the sum of its proper divisors (2057090894262).

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

1120031331210 is a wasteful number, since it uses less digits than its factorization.

1120031331210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109028 (or 109025 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1120031331210 its reverse (121331300211), we get a palindrome (1241362631421).

The spelling of 1120031331210 in words is "one trillion, one hundred twenty billion, thirty-one million, three hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 11617 23234 34851 58085 69702 97387 104553 116170 127787 174255 194774 209106 255574 292161 348510 383361 486935 522765 584322 638935 766722 876483 973870 1045530 1071257 1150083 1277870 1460805 1752966 1916805 2142514 2300166 2921610 3213771 3833610 4382415 5356285 5750415 6427542 8764830 9641313 10712570 11500830 16068855 19282626 32137710 48206565 96413130 1131344779 2262689558 3394034337 5656723895 6788068674 10182103011 11313447790 12444792569 16970171685 20364206022 24889585138 33940343370 37334377707 50910515055 62223962845 74668755414 101821030110 112003133121 124447925690 186671888535 224006266242 373343777070 560015665605 1120031331210