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21122330320 = 2457132901419
BaseRepresentation
bin10011101010111111…
…010010111011010000
32000112001101120000101
4103222333102323100
5321224304032240
613411540502144
71345300562650
oct235277227320
960461346011
1021122330320
118a5a006443
1241159aa954
131cb8076610
141045398360
1583956339a
hex4eafd2ed0

21122330320 has 80 divisors (see below), whose sum is σ = 60442381440. Its totient is φ = 6684867072.

The previous prime is 21122330311. The next prime is 21122330363. The reversal of 21122330320 is 2303322112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×211223303204 (a number of 42 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1443430 + ... + 1457989.

It is an arithmetic number, because the mean of its divisors is an integer number (755529768).

Almost surely, 221122330320 is an apocalyptic number.

21122330320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122330320 is an abundant number, since it is smaller than the sum of its proper divisors (39320051120).

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

21122330320 is a wasteful number, since it uses less digits than its factorization.

21122330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901452 (or 2901446 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 21122330320 its reverse (2303322112), we get a palindrome (23425652432).

The spelling of 21122330320 in words is "twenty-one billion, one hundred twenty-two million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 2901419 5802838 11605676 14507095 20309933 23211352 29014190 37718447 40619866 46422704 58028380 75436894 81239732 101549665 116056760 150873788 162479464 188592235 203099330 232113520 264029129 301747576 324958928 377184470 406198660 528058258 603495152 754368940 812397320 1056116516 1320145645 1508737880 1624794640 2112233032 2640291290 3017475760 4224466064 5280582580 10561165160 21122330320