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2002201002100 = 2252133149682407
BaseRepresentation
bin11101001000101100011…
…110101100000001110100
321002102000211102100020101
4131020230132230001310
5230301001424031400
64131444244043444
7264440256466555
oct35105436540164
97072024370211
102002201002100
117021462a5292
12284059093584
13116a64556b90
146cc9ad0c32c
153713634656a
hex1d22c7ac074

2002201002100 has 72 divisors (see below), whose sum is σ = 4829924976128. Its totient is φ = 715426646400.

The previous prime is 2002201002091. The next prime is 2002201002101. The reversal of 2002201002100 is 12001022002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002201002101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24800904 + ... + 24881503.

Almost surely, 22002201002100 is an apocalyptic number.

2002201002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002201002100 is an abundant number, since it is smaller than the sum of its proper divisors (2827723974028).

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

2002201002100 is a wasteful number, since it uses less digits than its factorization.

2002201002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49682465 (or 49682458 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2002201002100 its reverse (12001022002), we get a palindrome (2014202024102).

The spelling of 2002201002100 in words is "two trillion, two billion, two hundred one million, two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 155 260 310 325 403 620 650 775 806 1300 1550 1612 2015 3100 4030 8060 10075 20150 40300 49682407 99364814 198729628 248412035 496824070 645871291 993648140 1242060175 1291742582 1540154617 2484120350 2583485164 3080309234 3229356455 4968240700 6160618468 6458712910 7700773085 12917425820 15401546170 16146782275 20022010021 30803092340 32293564550 38503865425 40044020042 64587129100 77007730850 80088040084 100110050105 154015461700 200220100210 400440200420 500550250525 1001100501050 2002201002100