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10222213330032 = 2431119360252519
BaseRepresentation
bin1001010011000000101101…
…1001001111010001110000
31100012020022121211000120220
42110300023121033101300
52314440043103030112
633424004151533040
72103346655443404
oct224601331172160
940166277730526
1010222213330032
113291241a28910
12119117268a180
13591c48570162
14274a87443104
1512ad835d498c
hex94c0b64f470

10222213330032 has 40 divisors (see below), whose sum is σ = 28808055749760. Its totient is φ = 3097640402880.

The previous prime is 10222213330027. The next prime is 10222213330037. The reversal of 10222213330032 is 23003331222201.

It is an interprime number because it is at equal distance from previous prime (10222213330027) and next prime (10222213330037).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10222213329984 and 10222213330011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222213330037) 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 7 ways as a sum of consecutive naturals, for example, 9680125732 + ... + 9680126787.

It is an arithmetic number, because the mean of its divisors is an integer number (720201393744).

Almost surely, 210222213330032 is an apocalyptic number.

10222213330032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10222213330032 is an abundant number, since it is smaller than the sum of its proper divisors (18585842419728).

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

10222213330032 is a wasteful number, since it uses less digits than its factorization.

10222213330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19360252541 (or 19360252535 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10222213330032 its reverse (23003331222201), we get a palindrome (33225544552233).

The spelling of 10222213330032 in words is "ten trillion, two hundred twenty-two billion, two hundred thirteen million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 19360252519 38720505038 58080757557 77441010076 116161515114 154882020152 212962777709 232323030228 309764040304 425925555418 464646060456 638888333127 851851110836 929292120912 1277776666254 1703702221672 2555553332508 3407404443344 5111106665016 10222213330032