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10220301340 = 2253147350731
BaseRepresentation
bin10011000010010110…
…10110110000011100
3222101021022002202021
421201023112300130
5131412344120330
64410052305524
7511161061624
oct114113266034
928337262667
1010220301340
114375103737
121b929122a4
13c6b5320b2
146cd50b884
153ec3c767a
hex2612d6c1c

10220301340 has 48 divisors (see below), whose sum is σ = 22626422784. Its totient is φ = 3872059200.

The previous prime is 10220301331. The next prime is 10220301341. The reversal of 10220301340 is 4310302201.

It is a happy number.

It is a super-3 number, since 3×102203013403 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220301341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146226 + ... + 204505.

It is an arithmetic number, because the mean of its divisors is an integer number (471383808).

Almost surely, 210220301340 is an apocalyptic number.

10220301340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220301340 is an abundant number, since it is smaller than the sum of its proper divisors (12406121444).

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

10220301340 is a wasteful number, since it uses less digits than its factorization.

10220301340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350818 (or 350816 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10220301340 its reverse (4310302201), we get a palindrome (14530603541).

The spelling of 10220301340 in words is "ten billion, two hundred twenty million, three hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 47 62 94 124 155 188 235 310 470 620 940 1457 2914 5828 7285 14570 29140 350731 701462 1402924 1753655 3507310 7014620 10872661 16484357 21745322 32968714 43490644 54363305 65937428 82421785 108726610 164843570 217453220 329687140 511015067 1022030134 2044060268 2555075335 5110150670 10220301340