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21142101442 = 27211172414787
BaseRepresentation
bin10011101100001010…
…101101110111000010
32000120102121000220011
4103230022231313002
5321244334221232
613413524335134
71345630616500
oct235412556702
960512530804
1021142101442
118a6a18a810
1241205444aa
131cbc1a97c7
141047c63670
1583b16b547
hex4ec2addc2

21142101442 has 96 divisors (see below), whose sum is σ = 42797595456. Its totient is φ = 7718860800.

The previous prime is 21142101427. The next prime is 21142101457. The reversal of 21142101442 is 24410124112.

It is an interprime number because it is at equal distance from previous prime (21142101427) and next prime (21142101457).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4414173 + ... + 4418959.

It is an arithmetic number, because the mean of its divisors is an integer number (445808286).

Almost surely, 221142101442 is an apocalyptic number.

21142101442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21142101442 is an abundant number, since it is smaller than the sum of its proper divisors (21655494014).

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

21142101442 is a wasteful number, since it uses less digits than its factorization.

21142101442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 21142101442 its reverse (24410124112), we get a palindrome (45552225554).

The spelling of 21142101442 in words is "twenty-one billion, one hundred forty-two million, one hundred one thousand, four hundred forty-two".

Divisors: 1 2 7 11 14 17 22 34 49 77 98 119 154 187 238 241 374 482 539 833 1078 1309 1666 1687 2618 2651 3374 4097 4787 5302 8194 9163 9574 11809 18326 18557 23618 28679 33509 37114 45067 52657 57358 67018 81379 90134 105314 129899 162758 200753 234563 259798 315469 368599 401506 469126 569653 630938 737198 895169 1139306 1153667 1790338 2208283 2307334 2580193 3987571 4416566 5160386 6266183 7975142 8075669 12532366 12690337 16151338 19612339 25380674 39224678 43863281 56529683 87726562 88832359 113059366 137286373 177664718 215735729 274572746 431471458 621826513 961004611 1243653026 1510150103 1922009222 3020300206 10571050721 21142101442