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10122320110 = 2571922334129
BaseRepresentation
bin10010110110101011…
…00101100011101110
3222010102221010202211
421123111211203232
5131212303220420
64352232241034
7505561205230
oct113325454356
928112833684
1010122320110
114324870a11
121b65b4017a
13c54147436
146c04c4250
153e39c0e5a
hex25b5658ee

10122320110 has 64 divisors (see below), whose sum is σ = 22017945600. Its totient is φ = 3273011712.

The previous prime is 10122320107. The next prime is 10122320113. The reversal of 10122320110 is 1102322101.

It is an interprime number because it is at equal distance from previous prime (10122320107) and next prime (10122320113).

It is a super-2 number, since 2×101223201102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122320113) 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 31 ways as a sum of consecutive naturals, for example, 279526 + ... + 313654.

It is an arithmetic number, because the mean of its divisors is an integer number (344030400).

Almost surely, 210122320110 is an apocalyptic number.

10122320110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10122320110 is an abundant number, since it is smaller than the sum of its proper divisors (11895625490).

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

10122320110 is a wasteful number, since it uses less digits than its factorization.

10122320110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34385.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10122320110 its reverse (1102322101), we get a palindrome (11224642211).

The spelling of 10122320110 in words is "ten billion, one hundred twenty-two million, three hundred twenty thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 223 266 446 665 1115 1330 1561 2230 3122 4237 7805 8474 15610 21185 29659 34129 42370 59318 68258 148295 170645 238903 296590 341290 477806 648451 1194515 1296902 2389030 3242255 4539157 6484510 7610767 9078314 15221534 22695785 38053835 45391570 53275369 76107670 106550738 144604573 266376845 289209146 532753690 723022865 1012232011 1446045730 2024464022 5061160055 10122320110