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10000022110212 = 22329611992367221
BaseRepresentation
bin1001000110000100111111…
…0001000000000000000100
31022101222210201211120100010
42101201033301000000010
52302320021130011322
633133540254550220
72051322604312461
oct221411761000004
938358721746303
1010000022110212
113205a92865822
1211560a3208370
13576cc88ca2a4
1426800a046668
151251cbd5e20c
hex9184fc40004

10000022110212 has 96 divisors (see below), whose sum is σ = 24656984352000. Its totient is φ = 3149728243200.

The previous prime is 10000022110201. The next prime is 10000022110213. The reversal of 10000022110212 is 21201122000001.

It is a super-2 number, since 2×100000221102122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10000022110213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3040762 + ... + 5407982.

It is an arithmetic number, because the mean of its divisors is an integer number (256843587000).

Almost surely, 210000022110212 is an apocalyptic number.

10000022110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000022110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12328492176000).

10000022110212 is an abundant number, since it is smaller than the sum of its proper divisors (14656962241788).

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

10000022110212 is a wasteful number, since it uses less digits than its factorization.

10000022110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367517 (or 2367515 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10000022110212 its reverse (21201122000001), we get a palindrome (31201144110213).

The spelling of 10000022110212 in words is "ten trillion, twenty-two million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 61 87 116 122 174 183 199 244 348 366 398 597 732 796 1194 1769 2388 3538 5307 5771 7076 10614 11542 12139 17313 21228 23084 24278 34626 36417 48556 69252 72834 145668 352031 704062 1056093 1408124 2112186 2367221 4224372 4734442 7101663 9468884 14203326 28406652 68649409 137298818 144400481 205948227 274597636 288800962 411896454 433201443 471076979 577601924 823792908 866402886 942153958 1413230937 1732805772 1884307916 2826461874 4187613949 5652923748 8375227898 12562841847 13661232391 16750455796 25125683694 27322464782 28735695719 40983697173 50251367388 54644929564 57471391438 81967394346 86207087157 114942782876 163934788692 172414174314 344828348628 833335175851 1666670351702 2500005527553 3333340703404 5000011055106 10000022110212