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10220011110101 = 134139750994889
BaseRepresentation
bin1001010010111000100000…
…1000011011111011010101
31100012000122010221122202202
42110232020020123323111
52314421040321010401
633423001442414245
72103241255050212
oct224561010337325
940160563848682
1010220011110101
113290311922441
121190859061385
13591987242240
14274918b88b09
1512aca50ca06b
hex94b8821bed5

10220011110101 has 32 divisors (see below), whose sum is σ = 11325334053600. Its totient is φ = 9162446008320.

The previous prime is 10220011110041. The next prime is 10220011110103. The reversal of 10220011110101 is 10101111002201.

It can be written as a sum of positive squares in 16 ways, for example, as 565878558001 + 9654132552100 = 752249^2 + 3107110^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10220011110101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220011110103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107657465 + ... + 107752353.

It is an arithmetic number, because the mean of its divisors is an integer number (353916689175).

Almost surely, 210220011110101 is an apocalyptic number.

It is an amenable number.

10220011110101 is a deficient number, since it is larger than the sum of its proper divisors (1105322943499).

10220011110101 is a wasteful number, since it uses less digits than its factorization.

10220011110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95849.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10220011110101 its reverse (10101111002201), we get a palindrome (20321122112302).

The spelling of 10220011110101 in words is "ten trillion, two hundred twenty billion, eleven million, one hundred ten thousand, one hundred one".

Divisors: 1 13 41 397 509 533 5161 6617 16277 20869 94889 202073 211601 271297 1233557 2626949 3890449 8284993 37670933 48298501 50575837 107704909 489722129 627880513 1544508253 1980238541 19174504897 20078607289 25743101033 249268563661 786154700777 10220011110101