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1000120001202 = 2337171088914293
BaseRepresentation
bin11101000110110111100…
…11000010001010110010
310112121111002020010012000
432203123303002022302
5112341221210014302
62043240534314430
7132153622513530
oct16433363021262
93477432203160
101000120001202
1135616a738643
121419b61b8a16
13734070c317a
1436598363150
151b03706c31c
hexe8dbcc22b2

1000120001202 has 128 divisors (see below), whose sum is σ = 2689833484800. Its totient is φ = 268896319488.

The previous prime is 1000120001191. The next prime is 1000120001203. The reversal of 1000120001202 is 2021000210001.

1000120001202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1000120001203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69965568 + ... + 69979860.

It is an arithmetic number, because the mean of its divisors is an integer number (21014324100).

Almost surely, 21000120001202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000120001202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344916742400).

1000120001202 is an abundant number, since it is smaller than the sum of its proper divisors (1689713483598).

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

1000120001202 is a wasteful number, since it uses less digits than its factorization.

1000120001202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25217 (or 25211 counting only the distinct ones).

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

Adding to 1000120001202 its reverse (2021000210001), we get a palindrome (3021120211203).

The spelling of 1000120001202 in words is "one trillion, one hundred twenty million, one thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 10889 14293 21778 28586 32667 42879 65334 76223 85758 98001 100051 128637 152446 185113 196002 200102 228669 242981 257274 294003 300153 370226 385911 457338 485962 555339 588006 600306 686007 728943 771822 900459 1110678 1295791 1372014 1457886 1666017 1700867 1800918 2058021 2186829 2591582 2701377 3332034 3401734 3887373 4116042 4373658 4998051 5102601 5402754 6560487 7774746 9996102 10205202 11662119 13120974 15307803 23324238 30615606 34986357 45923409 69972714 91846818 155636477 311272954 466909431 933818862 1089455339 1400728293 2178910678 2645820109 2801456586 3268366017 4202184879 5291640218 6536732034 7937460327 8404369758 9805098051 15874920654 18520740763 19610196102 23812380981 29415294153 37041481526 47624761962 55562222289 58830588306 71437142943 111124444578 142874285886 166686666867 333373333734 500060000601 1000120001202