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221323111320 = 23357197267803
BaseRepresentation
bin1100111000011111100…
…0101010101110011000
3210011021101110222021010
43032013320222232120
512111232204030240
6245401402213520
721663410256213
oct3160770525630
9704241428233
10221323111320
1185954143353
1236a887b42a0
1317b41b643cc
14a9d7dc277a
155b55448280
hex3387e2ab98

221323111320 has 128 divisors (see below), whose sum is σ = 680265008640. Its totient is φ = 57588142080.

The previous prime is 221323111301. The next prime is 221323111349. The reversal of 221323111320 is 23111323122.

It is a super-2 number, since 2×2213231113202 (a number of 23 digits) contains 22 as substring.

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, 692539 + ... + 960341.

It is an arithmetic number, because the mean of its divisors is an integer number (5314570380).

Almost surely, 2221323111320 is an apocalyptic number.

221323111320 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 221323111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340132504320).

221323111320 is an abundant number, since it is smaller than the sum of its proper divisors (458941897320).

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

221323111320 is a wasteful number, since it uses less digits than its factorization.

221323111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267985 (or 267981 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 221323111320 its reverse (23111323122), we get a palindrome (244434434442).

The spelling of 221323111320 in words is "two hundred twenty-one billion, three hundred twenty-three million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 97 120 142 194 213 284 291 355 388 426 485 568 582 710 776 852 970 1065 1164 1420 1455 1704 1940 2130 2328 2840 2910 3880 4260 5820 6887 8520 11640 13774 20661 27548 34435 41322 55096 68870 82644 103305 137740 165288 206610 267803 275480 413220 535606 803409 826440 1071212 1339015 1606818 2142424 2678030 3213636 4017045 5356060 6427272 8034090 10712120 16068180 19014013 25976891 32136360 38028026 51953782 57042039 76056052 77930673 95070065 103907564 114084078 129884455 152112104 155861346 190140130 207815128 228168156 259768910 285210195 311722692 380280260 389653365 456336312 519537820 570420390 623445384 760560520 779306730 1039075640 1140840780 1558613460 1844359261 2281681560 3117226920 3688718522 5533077783 7377437044 9221796305 11066155566 14754874088 18443592610 22132311132 27665388915 36887185220 44264622264 55330777830 73774370440 110661555660 221323111320