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100021211220010 = 252931201140920173
BaseRepresentation
bin10110101111100000000000…
…110000111100100000101010
3111010010221020011222011000211
4112233200000300330200222
5101102221420033020020
6552421035440451334
730032202566424643
oct2657400060744052
9433127204864024
10100021211220010
1129962837205773
12b274945319b4a
1343a6c62742cc2
141a9b0a3d086ca
15b86baba4085a
hex5af800c3c82a

100021211220010 has 64 divisors (see below), whose sum is σ = 180940352614560. Its totient is φ = 39808489881600.

The previous prime is 100021211219989. The next prime is 100021211220059. The reversal of 100021211220010 is 10022112120001.

It can be written as a sum of positive squares in 16 ways, for example, as 6633668999281 + 93387542220729 = 2575591^2 + 9663723^2 .

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 31 ways as a sum of consecutive naturals, for example, 4958162284 + ... + 4958182456.

Almost surely, 2100021211220010 is an apocalyptic number.

100021211220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100021211220010 is a deficient number, since it is larger than the sum of its proper divisors (80919141394550).

100021211220010 is a wasteful number, since it uses less digits than its factorization.

100021211220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23083.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100021211220010 its reverse (10022112120001), we get a palindrome (110043323340011).

The spelling of 100021211220010 in words is "one hundred trillion, twenty-one billion, two hundred eleven million, two hundred twenty thousand, ten".

Divisors: 1 2 5 10 293 586 1201 1409 1465 2402 2818 2930 6005 7045 12010 14090 20173 40346 100865 201730 351893 412837 703786 825674 1692209 1759465 2064185 3384418 3518930 4128370 5910689 8461045 11821378 16922090 24227773 28423757 29553445 48455546 56847514 59106890 121138865 142118785 242277730 284237570 495817237 991634474 2479086185 4958172370 7098737489 8328160801 14197474978 16656321602 34136932157 35493687445 41640804005 68273864314 70987374890 83281608010 170684660785 341369321570 10002121122001 20004242244002 50010605610005 100021211220010