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1130322210120 = 2333510310161113
BaseRepresentation
bin10000011100101100011…
…101000010110101001000
311000001120002122122022000
4100130230131002311020
5122004344441210440
62223132435431000
7144443303155335
oct20345435026510
94001502578260
101130322210120
113a6404469284
12163092755460
1382786b4653c
143c9ca62798c
151e607a24730
hex1072c742d48

1130322210120 has 128 divisors (see below), whose sum is σ = 3804321081600. Its totient is φ = 298492826112.

The previous prime is 1130322210119. The next prime is 1130322210139. The reversal of 1130322210120 is 210122230311.

1130322210120 is a `hidden beast` number, since 1 + 13 + 0 + 322 + 210 + 120 = 666.

It is a super-2 number, since 2×11303222101202 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1130322210093 and 1130322210102.

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 31 ways as a sum of consecutive naturals, for example, 4969317 + ... + 5191796.

It is an arithmetic number, because the mean of its divisors is an integer number (29721258450).

Almost surely, 21130322210120 is an apocalyptic number.

1130322210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130322210120 is an abundant number, since it is smaller than the sum of its proper divisors (2673998871480).

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

1130322210120 is a wasteful number, since it uses less digits than its factorization.

1130322210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10161236 (or 10161226 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1130322210120 its reverse (210122230311), we get a palindrome (1340444440431).

The spelling of 1130322210120 in words is "one trillion, one hundred thirty billion, three hundred twenty-two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 103 108 120 135 180 206 216 270 309 360 412 515 540 618 824 927 1030 1080 1236 1545 1854 2060 2472 2781 3090 3708 4120 4635 5562 6180 7416 9270 11124 12360 13905 18540 22248 27810 37080 55620 111240 10161113 20322226 30483339 40644452 50805565 60966678 81288904 91450017 101611130 121933356 152416695 182900034 203222260 243866712 274350051 304833390 365800068 406444520 457250085 548700102 609666780 731600136 914500170 1046594639 1097400204 1219333560 1371750255 1829000340 2093189278 2194800408 2743500510 3139783917 3658000680 4186378556 5232973195 5487001020 6279567834 8372757112 9419351751 10465946390 10974002040 12559135668 15698919585 18838703502 20931892780 25118271336 28258055253 31397839170 37677407004 41863785560 47096758755 56516110506 62795678340 75354814008 94193517510 113032221012 125591356680 141290276265 188387035020 226064442024 282580552530 376774070040 565161105060 1130322210120