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100220021006 = 27109613107137
BaseRepresentation
bin101110101010110010…
…1000010100100001110
3100120200111122120022212
41131111211002210032
53120222311133011
6114012422510422
710145355060110
oct1352545024416
9316614576285
10100220021006
1139559653146
121750b595412
1395b22868a1
144bca3753b0
1529186eb08b
hex175594290e

100220021006 has 32 divisors (see below), whose sum is σ = 173666412480. Its totient is φ = 42487566336.

The previous prime is 100220020963. The next prime is 100220021023. The reversal of 100220021006 is 600120022001.

It is a super-2 number, since 2×1002200210062 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881870 + ... + 989006.

It is an arithmetic number, because the mean of its divisors is an integer number (5427075390).

Almost surely, 2100220021006 is an apocalyptic number.

100220021006 is a deficient number, since it is larger than the sum of its proper divisors (73446391474).

100220021006 is a wasteful number, since it uses less digits than its factorization.

100220021006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107868.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100220021006 its reverse (600120022001), we get a palindrome (700340043007).

The spelling of 100220021006 in words is "one hundred billion, two hundred twenty million, twenty-one thousand, six".

Divisors: 1 2 7 14 109 218 613 763 1226 1526 4291 8582 66817 107137 133634 214274 467719 749959 935438 1499918 11677933 23355866 65674981 81745531 131349962 163491062 459724867 919449734 7158572929 14317145858 50110010503 100220021006