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2121132202320 = 243537268788897
BaseRepresentation
bin11110110111011101010…
…101001101100101010000
321111210000100110022001210
4132313131111031211100
5234223034320433240
64302233520300120
7306150430143615
oct36673525154520
97453010408053
102121132202320
117486269152aa
122a310aa71640
13125039195931
147494031850c
153a29757a780
hex1eddd54d950

2121132202320 has 160 divisors (see below), whose sum is σ = 6755815600128. Its totient is φ = 550136807424.

The previous prime is 2121132202291. The next prime is 2121132202333. The reversal of 2121132202320 is 232022311212.

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 31 ways as a sum of consecutive naturals, for example, 23816112 + ... + 23905008.

Almost surely, 22121132202320 is an apocalyptic number.

2121132202320 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 2121132202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377907800064).

2121132202320 is an abundant number, since it is smaller than the sum of its proper divisors (4634683397808).

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

2121132202320 is a wasteful number, since it uses less digits than its factorization.

2121132202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91637 (or 91631 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2121132202320 its reverse (232022311212), we get a palindrome (2353154513532).

The spelling of 2121132202320 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-two million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2687 2960 4440 5374 8061 8880 10748 13435 16122 21496 26870 32244 40305 42992 53740 64488 80610 88897 99419 107480 128976 161220 177794 198838 214960 266691 298257 322440 355588 397676 444485 497095 533382 596514 644880 711176 795352 888970 994190 1066764 1193028 1333455 1422352 1491285 1590704 1777940 1988380 2133528 2386056 2666910 2982570 3289189 3555880 3976760 4267056 4772112 5333820 5965140 6578378 7111760 7953520 9867567 10667640 11930280 13156756 16445945 19735134 21335280 23860560 26313512 32891890 39470268 49337835 52627024 65783780 78940536 98675670 131567560 157881072 197351340 238866239 263135120 394702680 477732478 716598717 789405360 955464956 1194331195 1433197434 1910929912 2388662390 2866394868 3582993585 3821859824 4777324780 5732789736 7165987170 8838050843 9554649560 11465579472 14331974340 17676101686 19109299120 26514152529 28663948680 35352203372 44190254215 53028305058 57327897360 70704406744 88380508430 106056610116 132570762645 141408813488 176761016860 212113220232 265141525290 353522033720 424226440464 530283050580 707044067440 1060566101160 2121132202320