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1001021033112 = 233532632992267
BaseRepresentation
bin11101001000100011000…
…00001100101010011000
310112200210212200021121020
432210101200030222120
5112400042341024422
62043510202442440
7132215143250652
oct16442140145230
93480725607536
101001021033112
11356592305211
12142007b03420
137351b98b449
1436641cab6d2
151b08b1ee95c
hexe91180ca98

1001021033112 has 64 divisors (see below), whose sum is σ = 2559466356480. Its totient is φ = 326133055872.

The previous prime is 1001021033107. The next prime is 1001021033119. The reversal of 1001021033112 is 2113301201001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1001021033091 and 1001021033100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001021033119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1161598 + ... + 1830669.

It is an arithmetic number, because the mean of its divisors is an integer number (39991661820).

Almost surely, 21001021033112 is an apocalyptic number.

1001021033112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001021033112 is an abundant number, since it is smaller than the sum of its proper divisors (1558445323368).

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

1001021033112 is a wasteful number, since it uses less digits than its factorization.

1001021033112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992592 (or 2992588 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1001021033112 its reverse (2113301201001), we get a palindrome (3114322234113).

The spelling of 1001021033112 in words is "one trillion, one billion, twenty-one million, thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 263 318 424 526 636 789 1052 1272 1578 2104 3156 6312 13939 27878 41817 55756 83634 111512 167268 334536 2992267 5984534 8976801 11969068 17953602 23938136 35907204 71814408 158590151 317180302 475770453 634360604 786966221 951540906 1268721208 1573932442 1903081812 2360898663 3147864884 3806163624 4721797326 6295729768 9443594652 18887189304 41709209713 83418419426 125127629139 166836838852 250255258278 333673677704 500510516556 1001021033112