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100012002220202 = 241731371093111577
BaseRepresentation
bin10110101111010111011011…
…110111011001100010101010
3111010010001110101121111011212
4112233113123313121202222
5101102044040032021302
6552412513551553122
730031425435264002
oct2657273367314252
9433101411544155
10100012002220202
1129959940a44926
12b272bb522b7a2
1343a61258a71a7
141a9a86cc4b002
15b8681d32d052
hex5af5dbdd98aa

100012002220202 has 64 divisors (see below), whose sum is σ = 157064214180384. Its totient is φ = 47722679746560.

The previous prime is 100012002220187. The next prime is 100012002220211. The reversal of 100012002220202 is 202022200210001.

It can be written as a sum of positive squares in 16 ways, for example, as 15179041968841 + 84832960251361 = 3896029^2 + 9210481^2 .

It is a super-4 number, since 4×1000120022202024 (a number of 57 digits) contains 4444 as substring.

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, 896293838 + ... + 896405414.

Almost surely, 2100012002220202 is an apocalyptic number.

100012002220202 is a deficient number, since it is larger than the sum of its proper divisors (57052211960182).

100012002220202 is a wasteful number, since it uses less digits than its factorization.

100012002220202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112923.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100012002220202 its reverse (202022200210001), we get a palindrome (302034202430203).

The spelling of 100012002220202 in words is "one hundred trillion, twelve billion, two million, two hundred twenty thousand, two hundred two".

Divisors: 1 2 41 73 82 137 146 274 1093 2186 2993 5617 5986 10001 11234 20002 44813 79789 89626 111577 149741 159578 223154 299482 410041 820082 3271349 4574657 6139381 6542698 8145121 9149314 10931093 12278762 15286049 16290242 21862186 30572098 121953661 243907322 333949961 448174813 626728009 667899922 896349626 1115881577 1253456018 2231763154 5000100101 8902617253 10000200202 16707651557 17805234506 33415303114 45751144657 91502289314 365007307373 685013713837 730014614746 1219658563661 1370027427674 2439317127322 50006001110101 100012002220202