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110220002010 = 23251724237601
BaseRepresentation
bin110011010100110011…
…1111100001011011010
3101112111102101020101200
41212221213330023122
53301212310031020
6122345005055030
710651232362506
oct1465147741332
9345442336350
10110220002010
1142820354958
1219440557476
13a516c68501
1454984d1306
152d015a3590
hex19a99fc2da

110220002010 has 72 divisors (see below), whose sum is σ = 304420852476. Its totient is φ = 27663052800.

The previous prime is 110220001963. The next prime is 110220002017. The reversal of 110220002010 is 10200022011.

It can be written as a sum of positive squares in 6 ways, for example, as 50203331721 + 60016670289 = 224061^2 + 244983^2 .

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 = 110220001983 and 110220002001.

It is not an unprimeable number, because it can be changed into a prime (110220002017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2092791 + ... + 2144810.

Almost surely, 2110220002010 is an apocalyptic number.

110220002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110220002010 is an abundant number, since it is smaller than the sum of its proper divisors (194200850466).

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

110220002010 is a wasteful number, since it uses less digits than its factorization.

110220002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237648 (or 4237628 counting only the distinct ones).

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

Adding to 110220002010 its reverse (10200022011), we get a palindrome (120420024021).

The spelling of 110220002010 in words is "one hundred ten billion, two hundred twenty million, two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 289 306 510 578 765 867 1445 1530 1734 2601 2890 4335 5202 8670 13005 26010 4237601 8475202 12712803 21188005 25425606 38138409 42376010 63564015 72039217 76276818 127128030 144078434 190692045 216117651 360196085 381384090 432235302 648352953 720392170 1080588255 1224666689 1296705906 2161176510 2449333378 3241764765 3674000067 6123333445 6483529530 7348000134 11022000201 12246666890 18370000335 22044000402 36740000670 55110001005 110220002010