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21122211120 = 2435826310651
BaseRepresentation
bin10011101010111110…
…110101110100110000
32000112001011111111120
4103222332311310300
5321224241223440
613411534142240
71345266555303
oct235276656460
960461144446
1021122211120
118a59a3492a
124115951980
131cb803429a
141045366b3a
1583953cdd0
hex4eafb5d30

21122211120 has 80 divisors (see below), whose sum is σ = 65492927232. Its totient is φ = 5631379200.

The previous prime is 21122211107. The next prime is 21122211157. The reversal of 21122211120 is 2111222112.

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

It is a super-2 number, since 2×211222111202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21122211120.

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, 1977795 + ... + 1988445.

Almost surely, 221122211120 is an apocalyptic number.

21122211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122211120 is an abundant number, since it is smaller than the sum of its proper divisors (44370716112).

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

21122211120 is a wasteful number, since it uses less digits than its factorization.

21122211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18930 (or 18924 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21122211120 its reverse (2111222112), we get a palindrome (23233433232).

The spelling of 21122211120 in words is "twenty-one billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8263 10651 16526 21302 24789 31953 33052 41315 42604 49578 53255 63906 66104 82630 85208 99156 106510 123945 127812 132208 159765 165260 170416 198312 213020 247890 255624 319530 330520 396624 426040 495780 511248 639060 661040 852080 991560 1278120 1983120 2556240 88009213 176018426 264027639 352036852 440046065 528055278 704073704 880092130 1056110556 1320138195 1408147408 1760184260 2112221112 2640276390 3520368520 4224442224 5280552780 7040737040 10561105560 21122211120