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1002011221112 = 231121760890327
BaseRepresentation
bin11101001010011001000…
…01011101110001111000
310112210100212220001011212
432211030201131301320
5112404104333033422
62044152333542252
7132251525564306
oct16451441356170
93483325801155
101002011221112
11356a50237100
12142243644988
1373648b714c5
14366d75c3276
151b0e80e39e2
hexe94c85dc78

1002011221112 has 48 divisors (see below), whose sum is σ = 2186571678480. Its totient is φ = 428667895040.

The previous prime is 1002011221073. The next prime is 1002011221151. The reversal of 1002011221112 is 2111221102001.

1002011221112 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 (1002011221073) and next prime (1002011221151).

It is a super-2 number, since 2×10020112211122 (a number of 25 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 11 ways as a sum of consecutive naturals, for example, 30428708 + ... + 30461619.

It is an arithmetic number, because the mean of its divisors is an integer number (45553576635).

Almost surely, 21002011221112 is an apocalyptic number.

It is an amenable number.

1002011221112 is an abundant number, since it is smaller than the sum of its proper divisors (1184560457368).

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

1002011221112 is a wasteful number, since it uses less digits than its factorization.

1002011221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60890372 (or 60890357 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1002011221112 its reverse (2111221102001), we get a palindrome (3113232323113).

The spelling of 1002011221112 in words is "one trillion, two billion, eleven million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 748 968 1496 2057 4114 8228 16456 60890327 121780654 243561308 487122616 669793597 1035135559 1339587194 2070271118 2679174388 4140542236 5358348776 7367729567 8281084472 11386491149 14735459134 22772982298 29470918268 45545964596 58941836536 91091929192 125251402639 250502805278 501005610556 1002011221112