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1002012202120 = 235733184718503
BaseRepresentation
bin11101001010011001001…
…01001101010010001000
310112210100221201212212111
432211030211031102020
5112404110110431440
62044152410552104
7132251540121346
oct16451445152210
93483327655774
101002012202120
11356a50847156
12142243a38634
1373649125b97
14366d779a996
151b0e82394ea
hexe94c94d488

1002012202120 has 64 divisors (see below), whose sum is σ = 2258947595520. Its totient is φ = 400019752704.

The previous prime is 1002012202057. The next prime is 1002012202151. The reversal of 1002012202120 is 212022102001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002012202120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54144789 + ... + 54163291.

It is an arithmetic number, because the mean of its divisors is an integer number (35296056180).

Almost surely, 21002012202120 is an apocalyptic number.

1002012202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002012202120 is an abundant number, since it is smaller than the sum of its proper divisors (1256935393400).

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

1002012202120 is a wasteful number, since it uses less digits than its factorization.

1002012202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21094 (or 21090 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1002012202120 its reverse (212022102001), we get a palindrome (1214034304121).

The spelling of 1002012202120 in words is "one trillion, two billion, twelve million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 733 1466 1847 2932 3665 3694 5864 7330 7388 9235 14660 14776 18470 18503 29320 36940 37006 73880 74012 92515 148024 185030 370060 740120 1353851 2707702 5415404 6769255 10830808 13538510 13562699 27077020 27125398 34175041 54154040 54250796 67813495 68350082 108501592 135626990 136700164 170875205 271253980 273400328 341750410 542507960 683500820 1367001640 25050305053 50100610106 100201220212 125251525265 200402440424 250503050530 501006101060 1002012202120