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1022313231120 = 24354259638463
BaseRepresentation
bin11101110000001101001…
…11011111001100010000
310121201202202201000021110
432320012213133030100
5113222144141343440
62101351052253320
7133600606041666
oct16700647371420
93551682630243
101022313231120
11364619192775
1214616a771240
1375532c9ba8c
14376a1a42c36
151b8d5619080
hexee069df310

1022313231120 has 40 divisors (see below), whose sum is σ = 3169171017216. Its totient is φ = 272616861568.

The previous prime is 1022313231109. The next prime is 1022313231131. The reversal of 1022313231120 is 211323132201.

1022313231120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1022313231109) and next prime (1022313231131).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×10223132311203 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2129818992 + ... + 2129819471.

Almost surely, 21022313231120 is an apocalyptic number.

1022313231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022313231120 is an abundant number, since it is smaller than the sum of its proper divisors (2146857786096).

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

1022313231120 is a wasteful number, since it uses less digits than its factorization.

1022313231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259638479 (or 4259638473 counting only the distinct ones).

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

Adding to 1022313231120 its reverse (211323132201), we get a palindrome (1233636363321).

The spelling of 1022313231120 in words is "one trillion, twenty-two billion, three hundred thirteen million, two hundred thirty-one 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 4259638463 8519276926 12778915389 17038553852 21298192315 25557830778 34077107704 42596384630 51115661556 63894576945 68154215408 85192769260 102231323112 127789153890 170385538520 204462646224 255578307780 340771077040 511156615560 1022313231120