Search a number
-
+
2121133033200 = 243527757227873
BaseRepresentation
bin11110110111011101011…
…000011000011011110000
321111210000102000111211010
4132313131120120123300
5234223040024030300
64302233550150520
7306150440204166
oct36673530303360
97453012014733
102121133033200
11748627332585
122a310b1b2440
131250393c6b8c
1474940493236
153a297691a50
hex1eddd6186f0

2121133033200 has 120 divisors (see below), whose sum is σ = 6795601915248. Its totient is φ = 565560074240.

The previous prime is 2121133033193. The next prime is 2121133033231. The reversal of 2121133033200 is 23303311212.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 9194464 + ... + 9422336.

Almost surely, 22121133033200 is an apocalyptic number.

2121133033200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121133033200 is an abundant number, since it is smaller than the sum of its proper divisors (4674468882048).

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

2121133033200 is a wasteful number, since it uses less digits than its factorization.

2121133033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235651 (or 235640 counting only the distinct ones).

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

Adding to 2121133033200 its reverse (23303311212), we get a palindrome (2144436344412).

The spelling of 2121133033200 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-three million, thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 7757 15514 23271 31028 38785 46542 62056 77570 93084 116355 124112 155140 186168 193925 227873 232710 310280 372336 387850 455746 465420 581775 620560 683619 775700 911492 930840 1139365 1163550 1367238 1551400 1822984 1861680 2278730 2327100 2734476 3102800 3418095 3645968 4557460 4654200 5468952 5696825 6836190 9114920 9308400 10937904 11393650 13672380 17090475 18229840 22787300 27344760 34180950 45574600 54689520 68361900 91149200 136723800 273447600 1767610861 3535221722 5302832583 7070443444 8838054305 10605665166 14140886888 17676108610 21211330332 26514162915 28281773776 35352217220 42422660664 44190271525 53028325830 70704434440 84845321328 88380543050 106056651660 132570814575 141408868880 176761086100 212113303320 265141629150 353522172200 424226606640 530283258300 707044344400 1060566516600 2121133033200