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100300101210 = 23251114445569
BaseRepresentation
bin101110101101001011…
…0100001011001011010
3100120220002100001201100
41131122112201121122
53120403311214320
6114024403132230
710150346536101
oct1353226413132
9316802301640
10100300101210
113959a879631
1217532374076
1395c5a4461a
144bd6c5d038
152920768790
hex175a5a165a

100300101210 has 24 divisors (see below), whose sum is σ = 260780263380. Its totient is φ = 26746693632.

The previous prime is 100300101203. The next prime is 100300101217. The reversal of 100300101210 is 12101003001.

It is an interprime number because it is at equal distance from previous prime (100300101203) and next prime (100300101217).

It can be written as a sum of positive squares in 2 ways, for example, as 86194500921 + 14105600289 = 293589^2 + 118767^2 .

It is a super-2 number, since 2×1003001012102 (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100300101192 and 100300101201.

It is not an unprimeable number, because it can be changed into a prime (100300101217) 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 11 ways as a sum of consecutive naturals, for example, 557222695 + ... + 557222874.

Almost surely, 2100300101210 is an apocalyptic number.

100300101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100300101210 is an abundant number, since it is smaller than the sum of its proper divisors (160480162170).

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

100300101210 is a wasteful number, since it uses less digits than its factorization.

100300101210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114445582 (or 1114445579 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100300101210 its reverse (12101003001), we get a palindrome (112401104211).

The spelling of 100300101210 in words is "one hundred billion, three hundred million, one hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1114445569 2228891138 3343336707 5572227845 6686673414 10030010121 11144455690 16716683535 20060020242 33433367070 50150050605 100300101210