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1002012202200 = 233522517166347
BaseRepresentation
bin11101001010011001001…
…01001101010011011000
310112210100221201212222110
432211030211031103120
5112404110110432300
62044152410552320
7132251540121522
oct16451445152330
93483327655873
101002012202200
11356a50847219
12142243a386a0
1373649125c29
14366d779aa12
151b0e8239550
hexe94c94d4d8

1002012202200 has 96 divisors (see below), whose sum is σ = 3106408052160. Its totient is φ = 267188611200.

The previous prime is 1002012202151. The next prime is 1002012202231. The reversal of 1002012202200 is 22022102001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 15069427 + ... + 15135773.

It is an arithmetic number, because the mean of its divisors is an integer number (32358417210).

Almost surely, 21002012202200 is an apocalyptic number.

1002012202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002012202200 is an abundant number, since it is smaller than the sum of its proper divisors (2104395849960).

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

1002012202200 is a wasteful number, since it uses less digits than its factorization.

1002012202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91537 (or 91528 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1002012202200 its reverse (22022102001), we get a palindrome (1024034304201).

The spelling of 1002012202200 in words is "one trillion, two billion, twelve million, two hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 25171 50342 66347 75513 100684 125855 132694 151026 199041 201368 251710 265388 302052 331735 377565 398082 503420 530776 604104 629275 663470 755130 796164 995205 1006840 1258550 1326940 1510260 1592328 1658675 1887825 1990410 2517100 2653880 3020520 3317350 3775650 3980820 4976025 5034200 6634700 7551300 7961640 9952050 13269400 15102600 19904100 39808200 1670020337 3340040674 5010061011 6680081348 8350101685 10020122022 13360162696 16700203370 20040244044 25050305055 33400406740 40080488088 41750508425 50100610110 66800813480 83501016850 100201220220 125251525275 167002033700 200402440440 250503050550 334004067400 501006101100 1002012202200