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1430120212200 = 2332527111190299
BaseRepresentation
bin10100110011111001110…
…011101010011011101000
312001201101112111002222200
4110303321303222123220
5141412341233242300
63012553235220200
7205215466142541
oct24637163523350
95051345432880
101430120212200
11501568638549
121b1200447660
13a4b23b6b644
144d30a9c74c8
15273025d2200
hex14cf9cea6e8

1430120212200 has 144 divisors (see below), whose sum is σ = 4870466172000. Its totient is φ = 375994012800.

The previous prime is 1430120212159. The next prime is 1430120212217. The reversal of 1430120212200 is 22120210341.

It is a happy number.

1430120212200 is a `hidden beast` number, since 1 + 430 + 1 + 2 + 0 + 212 + 20 + 0 = 666.

It is a super-3 number, since 3×14301202122003 (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5467350 + ... + 5722949.

It is an arithmetic number, because the mean of its divisors is an integer number (33822681750).

Almost surely, 21430120212200 is an apocalyptic number.

1430120212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1430120212200 is an abundant number, since it is smaller than the sum of its proper divisors (3440345959800).

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

1430120212200 is a wasteful number, since it uses less digits than its factorization.

1430120212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11190392 (or 11190380 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1430120212200 its reverse (22120210341), we get a palindrome (1452240422541).

The spelling of 1430120212200 in words is "one trillion, four hundred thirty billion, one hundred twenty million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 71 72 75 90 100 120 142 150 180 200 213 225 284 300 355 360 426 450 568 600 639 710 852 900 1065 1278 1420 1704 1775 1800 2130 2556 2840 3195 3550 4260 5112 5325 6390 7100 8520 10650 12780 14200 15975 21300 25560 31950 42600 63900 127800 11190299 22380598 33570897 44761196 55951495 67141794 89522392 100712691 111902990 134283588 167854485 201425382 223805980 268567176 279757475 335708970 402850764 447611960 503563455 559514950 671417940 794511229 805701528 839272425 1007126910 1119029900 1342835880 1589022458 1678544850 2014253820 2238059800 2383533687 2517817275 3178044916 3357089700 3972556145 4028507640 4767067374 5035634550 6356089832 6714179400 7150601061 7945112290 9534134748 10071269100 11917668435 14301202122 15890224580 19068269496 19862780725 20142538200 23835336870 28602404244 31780449160 35753005305 39725561450 47670673740 57204808488 59588342175 71506010610 79451122900 95341347480 119176684350 143012021220 158902245800 178765026525 238353368700 286024042440 357530053050 476706737400 715060106100 1430120212200