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10002220000101 = 327379114710161
BaseRepresentation
bin1001000110001101001011…
…0001010010001101100101
31022102012110220112221110100
42101203102301102031211
52302334021310000401
633134542331214313
72051431223132640
oct221432261221545
938365426487410
1010002220000101
113206a10483a4a
1211565b72a7399
13577289070354
14268177cd4a57
151252a9cb0b86
hex918d2c52365

10002220000101 has 48 divisors (see below), whose sum is σ = 16976478924288. Its totient is φ = 5554974297600.

The previous prime is 10002220000099. The next prime is 10002220000121. The reversal of 10002220000101 is 10100002220001.

It is not a de Polignac number, because 10002220000101 - 21 = 10002220000099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002220000121) 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 47 ways as a sum of consecutive naturals, for example, 231540 + ... + 4478621.

It is an arithmetic number, because the mean of its divisors is an integer number (353676644256).

Almost surely, 210002220000101 is an apocalyptic number.

It is an amenable number.

10002220000101 is a deficient number, since it is larger than the sum of its proper divisors (6974258924187).

10002220000101 is a wasteful number, since it uses less digits than its factorization.

10002220000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711122 (or 4711119 counting only the distinct ones).

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

Adding to 10002220000101 its reverse (10100002220001), we get a palindrome (20102222220102).

The spelling of 10002220000101 in words is "ten trillion, two billion, two hundred twenty million, one hundred one", and thus it is an aban number.

Divisors: 1 3 7 9 21 37 63 111 259 333 777 911 2331 2733 6377 8199 19131 33707 57393 101121 235949 303363 707847 2123541 4710161 14130483 32971127 42391449 98913381 174275957 296740143 522827871 1219931699 1568483613 3659795097 4290956671 10979385291 12872870013 30036696697 38618610039 90110090091 158765396827 270330270273 476296190481 1111357777789 1428888571443 3334073333367 10002220000101