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10103221110 = 2353716754503
BaseRepresentation
bin10010110100011001…
…01110101101110110
3222002002222210212110
421122030232231312
5131142411033420
64350311031450
7505236651063
oct113214565566
928062883773
1010103221110
114315006614
121b5b66b586
13c501bb158
146bbb51c6a
153e1e9bee0
hex25a32eb76

10103221110 has 64 divisors (see below), whose sum is σ = 25052654592. Its totient is φ = 2605631616.

The previous prime is 10103221103. The next prime is 10103221111. The reversal of 10103221110 is 1112230101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103221111) 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, 158119 + ... + 212621.

It is an arithmetic number, because the mean of its divisors is an integer number (391447728).

Almost surely, 210103221110 is an apocalyptic number.

10103221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12526327296).

10103221110 is an abundant number, since it is smaller than the sum of its proper divisors (14949433482).

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

10103221110 is a wasteful number, since it uses less digits than its factorization.

10103221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54717.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10103221110 its reverse (1112230101), we get a palindrome (11215451211).

The spelling of 10103221110 in words is "ten billion, one hundred three million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 167 185 222 334 370 501 555 835 1002 1110 1670 2505 5010 6179 12358 18537 30895 37074 54503 61790 92685 109006 163509 185370 272515 327018 545030 817545 1635090 2016611 4033222 6049833 9102001 10083055 12099666 18204002 20166110 27306003 30249165 45510005 54612006 60498330 91020010 136530015 273060030 336774037 673548074 1010322111 1683870185 2020644222 3367740370 5051610555 10103221110