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2221135013340 = 2232543928108517
BaseRepresentation
bin100000010100100101111…
…101101010010111011100
321212100010201101110022100
4200110211331222113130
5242342341030411330
64420213023445100
7316320540050535
oct40244575522734
97770121343270
102221135013340
11786a838a0361
122ba579756790
131315b544a9a9
14797098ab68c
153cb9bb6d060
hex20525f6a5dc

2221135013340 has 72 divisors (see below), whose sum is σ = 6752790364320. Its totient is φ = 590953440384.

The previous prime is 2221135013303. The next prime is 2221135013353. The reversal of 2221135013340 is 433105311222.

2221135013340 is a `hidden beast` number, since 2 + 2 + 2 + 113 + 501 + 3 + 3 + 40 = 666.

2221135013340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13975239 + ... + 14133278.

It is an arithmetic number, because the mean of its divisors is an integer number (93788755060).

Almost surely, 22221135013340 is an apocalyptic number.

2221135013340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221135013340 is an abundant number, since it is smaller than the sum of its proper divisors (4531655350980).

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

2221135013340 is a wasteful number, since it uses less digits than its factorization.

2221135013340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28108971 (or 28108966 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 2221135013340 in words is "two trillion, two hundred twenty-one billion, one hundred thirty-five million, thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 439 878 1317 1756 2195 2634 3951 4390 5268 6585 7902 8780 13170 15804 19755 26340 39510 79020 28108517 56217034 84325551 112434068 140542585 168651102 252976653 281085170 337302204 421627755 505953306 562170340 843255510 1011906612 1264883265 1686511020 2529766530 5059533060 12339638963 24679277926 37018916889 49358555852 61698194815 74037833778 111056750667 123396389630 148075667556 185094584445 222113501334 246792779260 370189168890 444227002668 555283753335 740378337780 1110567506670 2221135013340