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10110110010100 = 2252243781414721
BaseRepresentation
bin1001001100011111000110…
…0001000000101011110100
31022210111221221122022200121
42103013301201000223310
52311121001130310400
633300304224421324
72062300644111022
oct223076141005364
938714857568617
1010110110010100
113248745592371
1211734a7477844
135844c1392259
1426d490b8b712
15127ec1a1b21a
hex931f1840af4

10110110010100 has 36 divisors (see below), whose sum is σ = 21939081617068. Its totient is φ = 4044017664000.

The previous prime is 10110110010073. The next prime is 10110110010109. The reversal of 10110110010100 is 101001101101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 310179935844 + 9799930074256 = 556938^2 + 3130484^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110110010109) 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, 24170740 + ... + 24585460.

Almost surely, 210110110010100 is an apocalyptic number.

10110110010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110110010100 is an abundant number, since it is smaller than the sum of its proper divisors (11828971606968).

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

10110110010100 is a wasteful number, since it uses less digits than its factorization.

10110110010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658516 (or 658509 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10110110010100 its reverse (101001101101), we get a palindrome (10211111111201).

The spelling of 10110110010100 in words is "ten trillion, one hundred ten billion, one hundred ten million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 243781 414721 487562 829442 975124 1218905 1658884 2073605 2437810 4147210 4875620 6094525 8294420 10368025 12189050 20736050 24378100 41472100 101101100101 202202200202 404404400404 505505500505 1011011001010 2022022002020 2527527502525 5055055005050 10110110010100