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2121024201340 = 22511307118126591
BaseRepresentation
bin11110110111010110111…
…001001110001001111100
321111202201211020021120111
4132313112321032021330
5234222324143420330
64302215101355404
7306144646146142
oct36672671161174
97452654207514
102121024201340
117485809595a0
122a309a868b64
1312501c9b0425
147492dc43592
153a28cd4532a
hex1edd6e4e27c

2121024201340 has 96 divisors (see below), whose sum is σ = 4879212484608. Its totient is φ = 768089376000.

The previous prime is 2121024201271. The next prime is 2121024201353. The reversal of 2121024201340 is 431024201212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79751445 + ... + 79778035.

It is an arithmetic number, because the mean of its divisors is an integer number (50825130048).

Almost surely, 22121024201340 is an apocalyptic number.

2121024201340 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 2121024201340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439606242304).

2121024201340 is an abundant number, since it is smaller than the sum of its proper divisors (2758188283268).

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

2121024201340 is a wasteful number, since it uses less digits than its factorization.

2121024201340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28099 (or 28097 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2121024201340 its reverse (431024201212), we get a palindrome (2552048402552).

The spelling of 2121024201340 in words is "two trillion, one hundred twenty-one billion, twenty-four million, two hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 307 614 1181 1228 1535 2362 3070 3377 4724 5905 6140 6754 11810 12991 13508 16885 23620 25982 26591 33770 51964 53182 64955 67540 106364 129910 132955 259820 265910 292501 362567 531820 585002 725134 1170004 1450268 1462505 1812835 2925010 3625670 3988237 5850020 7251340 7976474 8163437 15952948 16326874 19941185 31403971 32653748 39882370 40817185 62807942 79764740 81634370 89797807 125615884 157019855 163268740 179595614 314039710 345443681 359191228 448989035 628079420 690887362 897978070 1381774724 1727218405 1795956140 3454436810 6908873620 9641019097 19282038194 38564076388 48205095485 96410190970 106051210067 192820381940 212102420134 424204840268 530256050335 1060512100670 2121024201340