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1003000120110 = 2325163643106331
BaseRepresentation
bin11101001100001110111…
…01110100001100101110
310112212220210200022120200
432212013131310030232
5112413121012320420
62044434421254330
7132315164231622
oct16460735641456
93485823608520
101003000120110
113574084685aa
1214247a8643a6
13737759c2941
143678ca81182
151b154d30b90
hexe98777432e

1003000120110 has 96 divisors (see below), whose sum is σ = 2627904359808. Its totient is φ = 265409887680.

The previous prime is 1003000120097. The next prime is 1003000120163. The reversal of 1003000120110 is 110210003001.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1003000120092 and 1003000120101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9379645 + ... + 9485975.

It is an arithmetic number, because the mean of its divisors is an integer number (27374003748).

Almost surely, 21003000120110 is an apocalyptic number.

1003000120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003000120110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313952179904).

1003000120110 is an abundant number, since it is smaller than the sum of its proper divisors (1624904239698).

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

1003000120110 is a wasteful number, since it uses less digits than its factorization.

1003000120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107150 (or 107147 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1003000120110 its reverse (110210003001), we get a palindrome (1113210123111).

The spelling of 1003000120110 in words is "one trillion, three billion, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 163 326 489 643 815 978 1286 1467 1630 1929 2445 2934 3215 3858 4890 5787 6430 7335 9645 11574 14670 19290 28935 57870 104809 106331 209618 212662 314427 318993 524045 531655 628854 637986 943281 956979 1048090 1063310 1572135 1594965 1886562 1913958 3144270 3189930 4716405 4784895 9432810 9569790 17331953 34663906 51995859 68370833 86659765 103991718 136741666 155987577 173319530 205112499 259979295 311975154 341854165 410224998 519958590 615337497 683708330 779937885 1025562495 1230674994 1559875770 2051124990 3076687485 6153374970 11144445779 22288891558 33433337337 55722228895 66866674674 100300012011 111444457790 167166686685 200600024022 334333373370 501500060055 1003000120110