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100221100011102 = 23773229611423627
BaseRepresentation
bin10110110010011010001011…
…000100001010111001011110
3111010212001011202222211120210
4112302122023010022321132
5101114010303100323402
6553052534315153250
730052510200213510
oct2662321304127136
9433761152884523
10100221100011102
1129a2a591219a84
12b2a762b745826
1343bca699c5795
141aa6a2731bbb0
15b8beaa34906c
hex5b268b10ae5e

100221100011102 has 64 divisors (see below), whose sum is σ = 232225114950144. Its totient is φ = 28241095357440.

The previous prime is 100221100011083. The next prime is 100221100011103. The reversal of 100221100011102 is 201110001122001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221100011103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69686613 + ... + 71110239.

It is an arithmetic number, because the mean of its divisors is an integer number (3628517421096).

Almost surely, 2100221100011102 is an apocalyptic number.

100221100011102 is an abundant number, since it is smaller than the sum of its proper divisors (132004014939042).

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

100221100011102 is a wasteful number, since it uses less digits than its factorization.

100221100011102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446673.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100221100011102 its reverse (201110001122001), we get a palindrome (301331101133103).

The spelling of 100221100011102 in words is "one hundred trillion, two hundred twenty-one billion, one hundred million, eleven thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1533 3066 22961 45922 68883 137766 160727 321454 482181 964362 1423627 1676153 2847254 3352306 4270881 5028459 8541762 9965389 10056918 11733071 19930778 23466142 29896167 35199213 59792334 70398426 103924771 207849542 311774313 623548626 727473397 1454946794 2182420191 4364840382 32687899547 65375799094 98063698641 196127397282 228815296829 457630593658 686445890487 1372891780974 2386216666931 4772433333862 7158650000793 14317300001586 16703516668517 33407033337034 50110550005551 100221100011102