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1000100012202 = 2321072272287501
BaseRepresentation
bin11101000110110101001…
…10110010000010101010
310112121102200121120102200
432203122212302002222
5112341201100342302
62043234542041030
7132153260561544
oct16433246620252
93477380546380
101000100012202
1135615a425605
121419ab579176
1373402c14a65
143659583c694
151b03541e81c
hexe8da9b20aa

1000100012202 has 48 divisors (see below), whose sum is σ = 2196770520672. Its totient is φ = 328796100000.

The previous prime is 1000100012201. The next prime is 1000100012213. The reversal of 1000100012202 is 2022100010001.

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 (1000100012201) 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, 706549 + ... + 1580952.

It is an arithmetic number, because the mean of its divisors is an integer number (45766052514).

Almost surely, 21000100012202 is an apocalyptic number.

1000100012202 is an abundant number, since it is smaller than the sum of its proper divisors (1196670508470).

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

1000100012202 is a wasteful number, since it uses less digits than its factorization.

1000100012202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287843 (or 2287840 counting only the distinct ones).

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

Adding to 1000100012202 its reverse (2022100010001), we get a palindrome (3022200022203).

The spelling of 1000100012202 in words is "one trillion, one hundred million, twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 107 214 227 321 454 642 681 963 1362 1926 2043 4086 24289 48578 72867 145734 218601 437202 2287501 4575002 6862503 13725006 20587509 41175018 244762607 489525214 519262727 734287821 1038525454 1468575642 1557788181 2202863463 3115576362 4405726926 4673364543 9346729086 55561111789 111122223578 166683335367 333366670734 500050006101 1000100012202