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2000112000102 = 234181103166161
BaseRepresentation
bin11101000110101111111…
…101110001110001100110
321002012122020121001020000
4131012233331301301212
5230232212133000402
64130501101322130
7264334432326666
oct35065775616146
97065566531200
102000112000102
11701274099157
12283775566346
131167c0819c18
146cb3d6c61a6
1537062c52c1c
hex1d1aff71c66

2000112000102 has 80 divisors (see below), whose sum is σ = 4510932570144. Its totient is φ = 662367456000.

The previous prime is 2000112000041. The next prime is 2000112000157. The reversal of 2000112000102 is 2010002110002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30197902 + ... + 30264062.

Almost surely, 22000112000102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000112000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255466285072).

2000112000102 is an abundant number, since it is smaller than the sum of its proper divisors (2510820570042).

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

2000112000102 is a wasteful number, since it uses less digits than its factorization.

2000112000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67387 (or 67378 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2000112000102 its reverse (2010002110002), we get a palindrome (4010114110104).

The spelling of 2000112000102 in words is "two trillion, one hundred twelve million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 81 162 181 362 543 1031 1086 1629 2062 3093 3258 4887 6186 9279 9774 14661 18558 27837 29322 55674 66161 83511 132322 167022 186611 198483 373222 396966 559833 595449 1119666 1190898 1679499 1786347 3358998 3572694 5038497 5359041 10076994 10718082 11975141 15115491 23950282 30230982 35925423 68211991 71850846 107776269 136423982 204635973 215552538 323328807 409271946 613907919 646657614 969986421 1227815838 1841723757 1939972842 3683447514 5525171271 11050342542 12346370371 24692740742 37039111113 74078222226 111117333339 222234666678 333352000017 666704000034 1000056000051 2000112000102