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221001100100010 = 2345893065627689
BaseRepresentation
bin110010001111111111010100…
…000100010000000110101010
31001222111111110122112212020000
4302033333110010100012222
5212431340223111200020
62102010300453043430
764356542165646216
oct6217772404200652
91058444418485200
10221001100100010
116446604957973a
12209535b1326576
1396414117257a9
143c80720451946
151a83b2c042090
hexc8ffd41101aa

221001100100010 has 80 divisors (see below), whose sum is σ = 600924339793800. Its totient is φ = 58271451093504.

The previous prime is 221001100100009. The next prime is 221001100100051. The reversal of 221001100100010 is 10001001100122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 196697511462321 + 24303588637689 = 14024889^2 + 4929867^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 221001100099965 and 221001100100001.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1532741755 + ... + 1532885934.

Almost surely, 2221001100100010 is an apocalyptic number.

221001100100010 is an abundant number, since it is smaller than the sum of its proper divisors (379923239693790).

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

221001100100010 is a wasteful number, since it uses less digits than its factorization.

221001100100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065627797 (or 3065627788 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 221001100100010 its reverse (10001001100122), we get a palindrome (231002101200132).

The spelling of 221001100100010 in words is "two hundred twenty-one trillion, one billion, one hundred million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 89 90 135 162 178 267 270 405 445 534 801 810 890 1335 1602 2403 2670 4005 4806 7209 8010 12015 14418 24030 36045 72090 3065627689 6131255378 9196883067 15328138445 18393766134 27590649201 30656276890 45984415335 55181298402 82771947603 91968830670 137953246005 165543895206 248315842809 272840864321 275906492010 413859738015 496631685618 545681728642 818522592963 827719476030 1241579214045 1364204321605 1637045185926 2455567778889 2483158428090 2728408643210 4092612964815 4911135557778 7366703336667 8185225929630 12277838894445 14733406673334 22100110010001 24555677788890 36833516683335 44200220020002 73667033366670 110500550050005 221001100100010