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10222021112010 = 2351795321031667
BaseRepresentation
bin1001010010111111111111…
…1011111111000011001010
31100012012211020010100000220
42110233333323333003022
52314434144401041020
633423533124010510
72103342132560121
oct224577773770312
940165736110026
1010222021112010
113291153480644
12119111a230a36
13591c177abc96
14274a69ac8ab8
1512ad717b6240
hex94bffeff0ca

10222021112010 has 64 divisors (see below), whose sum is σ = 26003217808512. Its totient is φ = 2562834692096.

The previous prime is 10222021111949. The next prime is 10222021112047. The reversal of 10222021112010 is 1021112022201.

It is a super-2 number, since 2×102220211120102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10029804 + ... + 11001863.

It is an arithmetic number, because the mean of its divisors is an integer number (406300278258).

Almost surely, 210222021112010 is an apocalyptic number.

10222021112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10222021112010 is an abundant number, since it is smaller than the sum of its proper divisors (15781196696502).

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

10222021112010 is a wasteful number, since it uses less digits than its factorization.

10222021112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21032647.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10222021112010 its reverse (1021112022201), we get a palindrome (11243133134211).

The spelling of 10222021112010 in words is "ten trillion, two hundred twenty-two billion, twenty-one million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 953 1906 2859 4765 5718 9530 14295 16201 28590 32402 48603 81005 97206 162010 243015 486030 21031667 42063334 63095001 105158335 126190002 210316670 315475005 357538339 630950010 715076678 1072615017 1787691695 2145230034 3575383390 5363075085 10726150170 20043178651 40086357302 60129535953 100215893255 120259071906 200431786510 300647679765 340734037067 601295359530 681468074134 1022202111201 1703670185335 2044404222402 3407340370670 5111010556005 10222021112010