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2121025043320 = 235539756918127
BaseRepresentation
bin11110110111010110111…
…100011011101101111000
321111202201212211001112221
4132313112330123231320
5234222324402341240
64302215131413424
7306144656253661
oct36672674335570
97452655731487
102121025043320
11748581384147
122a309abb4274
1312501cc16741
147492ddc2368
153a28ce5ea4a
hex1edd6f1bb78

2121025043320 has 128 divisors (see below), whose sum is σ = 4921382188800. Its totient is φ = 822327607296.

The previous prime is 2121025043303. The next prime is 2121025043321. The reversal of 2121025043320 is 233405201212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121025043321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117000097 + ... + 117018223.

It is an arithmetic number, because the mean of its divisors is an integer number (38448298350).

Almost surely, 22121025043320 is an apocalyptic number.

2121025043320 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 2121025043320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460691094400).

2121025043320 is an abundant number, since it is smaller than the sum of its proper divisors (2800357145480).

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

2121025043320 is a wasteful number, since it uses less digits than its factorization.

2121025043320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18857 (or 18853 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 2121025043320 in words is "two trillion, one hundred twenty-one billion, twenty-five million, forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 97 106 194 212 265 388 424 485 530 569 776 970 1060 1138 1940 2120 2276 2845 3880 4552 5141 5690 10282 11380 18127 20564 22760 25705 30157 36254 41128 51410 55193 60314 72508 90635 102820 110386 120628 145016 150785 181270 205640 220772 241256 275965 301570 362540 441544 551930 603140 725080 960731 1103860 1206280 1758319 1921462 2207720 2925229 3516638 3842924 4803655 5850458 7033276 7685848 8791595 9607310 10314263 11700916 14066552 14626145 17583190 19214620 20628526 23401832 29252290 35166380 38429240 41257052 51571315 58504580 70332760 82514104 93190907 103142630 117009160 186381814 206285260 372763628 412570520 465954535 546655939 745527256 931909070 1000483511 1093311878 1863818140 2000967022 2186623756 2733279695 3727636280 4001934044 4373247512 5002417555 5466559390 8003868088 10004835110 10933118780 20009670220 21866237560 40019340440 53025626083 106051252166 212102504332 265128130415 424205008664 530256260830 1060512521660 2121025043320