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202212010020112 = 24292272717084249
BaseRepresentation
bin101101111110100100100111…
…000001101100110100010000
3222111222021112122201211101121
4231332210213001230310100
5203001020144031120422
61554022525345012024
760410223054255511
oct5576444701546420
9874867478654347
10202212010020112
11594816a5000194
121a81a061024014
1388aa6840a49a1
1437d1183660a08
151859ee9a908c7
hexb7e92706cd10

202212010020112 has 80 divisors (see below), whose sum is σ = 408583268640000. Its totient is φ = 96830902103040.

The previous prime is 202212010020073. The next prime is 202212010020121. The reversal of 202212010020112 is 211020010212202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25001764 + ... + 32086012.

It is an arithmetic number, because the mean of its divisors is an integer number (5107290858000).

Almost surely, 2202212010020112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202212010020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204291634320000).

202212010020112 is an abundant number, since it is smaller than the sum of its proper divisors (206371258619888).

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

202212010020112 is a wasteful number, since it uses less digits than its factorization.

202212010020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7084784 (or 7084778 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202212010020112 its reverse (211020010212202), we get a palindrome (413232020232314).

The spelling of 202212010020112 in words is "two hundred two trillion, two hundred twelve billion, ten million, twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 227 232 271 454 464 542 908 1084 1816 2168 3632 4336 6583 7859 13166 15718 26332 31436 52664 61517 62872 105328 123034 125744 246068 492136 984272 1783993 3567986 7084249 7135972 14168498 14271944 28336996 28543888 56673992 113347984 205443221 410886442 821772884 1608124523 1643545768 1919831479 3216249046 3287091536 3839662958 6432498092 7679325916 12864996184 15358651832 25729992368 30717303664 46635611167 55675112891 93271222334 111350225782 186542444668 222700451564 373084889336 435801745733 445400903128 746169778672 871603491466 890801806256 1743206982932 3486413965864 6972827931728 12638250626257 25276501252514 50553002505028 101106005010056 202212010020112