Search a number
-
+
2131230033200 = 2452291371341071
BaseRepresentation
bin11111000000110111001…
…101011000010100110000
321112202002002022020221002
4133000313031120110300
5234404224342030300
64311023520021132
7306655603245032
oct37006715302460
97482062266832
102131230033200
1175193887a084
122a50687617a8
13125c882174a8
147521b465c52
153a688d105d5
hex1f037358530

2131230033200 has 120 divisors (see below), whose sum is σ = 5335508594880. Its totient is φ = 817087129600.

The previous prime is 2131230033167. The next prime is 2131230033217. The reversal of 2131230033200 is 23300321312.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918665 + ... + 2259735.

It is an arithmetic number, because the mean of its divisors is an integer number (44462571624).

Almost surely, 22131230033200 is an apocalyptic number.

2131230033200 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 2131230033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667754297440).

2131230033200 is an abundant number, since it is smaller than the sum of its proper divisors (3204278561680).

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

2131230033200 is a wasteful number, since it uses less digits than its factorization.

2131230033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341255 (or 1341244 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2131230033200 its reverse (23300321312), we get a palindrome (2154530354512).

The spelling of 2131230033200 in words is "two trillion, one hundred thirty-one billion, two hundred thirty million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 137 145 200 232 274 290 400 464 548 580 685 725 1096 1160 1370 1450 2192 2320 2740 2900 3425 3973 5480 5800 6850 7946 10960 11600 13700 15892 19865 27400 31784 39730 54800 63568 79460 99325 158920 198650 317840 397300 794600 1341071 1589200 2682142 5364284 6705355 10728568 13410710 21457136 26821420 33526775 38891059 53642840 67053550 77782118 107285680 134107100 155564236 183726727 194455295 268214200 311128472 367453454 388910590 536428400 622256944 734906908 777821180 918633635 972276475 1469813816 1555642360 1837267270 1944552950 2939627632 3111284720 3674534540 3889105900 4593168175 5328075083 7349069080 7778211800 9186336350 10656150166 14698138160 15556423600 18372672700 21312300332 26640375415 36745345400 42624600664 53280750830 73490690800 85249201328 106561501660 133201877075 213123003320 266403754150 426246006640 532807508300 1065615016600 2131230033200