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2132310213300 = 22352199257138977
BaseRepresentation
bin11111000001110111100…
…101111100001010110100
321112211212100212002110110
4133001313211330022310
5234413432403311200
64311323024023020
7310024430522121
oct37016745741264
97484770762413
102132310213300
11752342587403
122a530a461a70
131260cac48a07
14752c0ac5748
153a6eda7db50
hex1f07797c2b4

2132310213300 has 144 divisors (see below), whose sum is σ = 6224657846400. Its totient is φ = 563553239040.

The previous prime is 2132310213287. The next prime is 2132310213373. The reversal of 2132310213300 is 33120132312.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 15273412 + ... + 15412388.

It is an arithmetic number, because the mean of its divisors is an integer number (43226790600).

Almost surely, 22132310213300 is an apocalyptic number.

2132310213300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132310213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112328923200).

2132310213300 is an abundant number, since it is smaller than the sum of its proper divisors (4092347633100).

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

2132310213300 is a wasteful number, since it uses less digits than its factorization.

2132310213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139450 (or 139443 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2132310213300 its reverse (33120132312), we get a palindrome (2165430345612).

The spelling of 2132310213300 in words is "two trillion, one hundred thirty-two billion, three hundred ten million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 199 257 300 398 514 597 771 796 995 1028 1194 1285 1542 1990 2388 2570 2985 3084 3855 3980 4975 5140 5970 6425 7710 9950 11940 12850 14925 15420 19275 19900 25700 29850 38550 51143 59700 77100 102286 138977 153429 204572 255715 277954 306858 416931 511430 555908 613716 694885 767145 833862 1022860 1278575 1389770 1534290 1667724 2084655 2557150 2779540 3068580 3474425 3835725 4169310 5114300 6948850 7671450 8338620 10423275 13897700 15342900 20846550 27656423 35717089 41693100 55312846 71434178 82969269 107151267 110625692 138282115 142868356 165938538 178585445 214302534 276564230 331877076 357170890 414846345 428605068 535756335 553128460 691410575 714341780 829692690 892927225 1071512670 1382821150 1659385380 1785854450 2074231725 2143025340 2678781675 2765642300 3571708900 4148463450 5357563350 7107700711 8296926900 10715126700 14215401422 21323102133 28430802844 35538503555 42646204266 71077007110 85292408532 106615510665 142154014220 177692517775 213231021330 355385035550 426462042660 533077553325 710770071100 1066155106650 2132310213300