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100020210010 = 2578771629259
BaseRepresentation
bin101110100100110101…
…0110100100101011010
3100120011120200010011121
41131021222310211122
53114320133210020
6113540524115454
710140410520550
oct1351152644532
9316146603147
10100020210010
113946688a196
1217474695b8a
13957ca67626
144baba01bd0
152905dccbaa
hex1749ab495a

100020210010 has 32 divisors (see below), whose sum is σ = 205990600320. Its totient is φ = 34253520192.

The previous prime is 100020209977. The next prime is 100020210013. The reversal of 100020210010 is 10012020001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 100020209975 and 100020210002.

It is not an unprimeable number, because it can be changed into a prime (100020210013) 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 15 ways as a sum of consecutive naturals, for example, 753240 + ... + 876019.

It is an arithmetic number, because the mean of its divisors is an integer number (6437206260).

Almost surely, 2100020210010 is an apocalyptic number.

100020210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100020210010 is an abundant number, since it is smaller than the sum of its proper divisors (105970390310).

100020210010 is a wasteful number, since it uses less digits than its factorization.

100020210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630150.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100020210010 its reverse (10012020001), we get a palindrome (110032230011).

The spelling of 100020210010 in words is "one hundred billion, twenty million, two hundred ten thousand, ten".

Divisors: 1 2 5 7 10 14 35 70 877 1754 4385 6139 8770 12278 30695 61390 1629259 3258518 8146295 11404813 16292590 22809626 57024065 114048130 1428860143 2857720286 7144300715 10002021001 14288601430 20004042002 50010105005 100020210010