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1111112002008 = 2332671371681241
BaseRepresentation
bin10000001010110011011…
…011111010100111011000
310221012222022020221211200
4100022303123322213120
5121201024133031013
62210234322154200
7143163251120601
oct20126333724730
93835868227750
101111112002008
11399246838628
1215b4111b2960
1380a14c892a8
143bac71b0da8
151dd812b5e73
hex102b36fa9d8

1111112002008 has 96 divisors (see below), whose sum is σ = 3076471110960. Its totient is φ = 362179445760.

The previous prime is 1111112002001. The next prime is 1111112002079. The reversal of 1111112002008 is 8002002111111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111112002001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179733 + ... + 1501508.

Almost surely, 21111112002008 is an apocalyptic number.

1111112002008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111112002008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538235555480).

1111112002008 is an abundant number, since it is smaller than the sum of its proper divisors (1965359108952).

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

1111112002008 is a wasteful number, since it uses less digits than its factorization.

1111112002008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681457 (or 1681450 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 1111112002008 its reverse (8002002111111), we get a palindrome (9113114113119).

The spelling of 1111112002008 in words is "one trillion, one hundred eleven billion, one hundred twelve million, two thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 137 201 268 274 402 411 536 548 603 804 822 1096 1206 1233 1608 1644 2412 2466 3288 4824 4932 9179 9864 18358 27537 36716 55074 73432 82611 110148 165222 220296 330444 660888 1681241 3362482 5043723 6724964 10087446 13449928 15131169 20174892 30262338 40349784 60524676 112643147 121049352 225286294 230330017 337929441 450572588 460660034 675858882 690990051 901145176 921320068 1013788323 1351717764 1381980102 1842640136 2027576646 2072970153 2703435528 2763960204 4055153292 4145940306 5527920408 8110306584 8291880612 15432111139 16583761224 30864222278 46296333417 61728444556 92592666834 123456889112 138889000251 185185333668 277778000502 370370667336 555556001004 1111112002008