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10212022212012 = 22321013318579901
BaseRepresentation
bin1001010010011010101111…
…1101001101010110101100
31100011021000101102120211100
42110212223331031112230
52314303210141241022
633415201020523100
72102536300406145
oct224465375152654
940137011376740
1010212022212012
113287992348025
12118b1a96b0490
13590cb30b83ca
1427439bb70acc
1512a988a741ac
hex949abf4d5ac

10212022212012 has 144 divisors (see below), whose sum is σ = 26181218647584. Its totient is φ = 3355862400000.

The previous prime is 10212022212011. The next prime is 10212022212047. The reversal of 10212022212012 is 21021222021201.

It is a happy number.

It is a super-2 number, since 2×102120222120122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10212022212011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1031408262 + ... + 1031418162.

It is an arithmetic number, because the mean of its divisors is an integer number (181814018386).

Almost surely, 210212022212012 is an apocalyptic number.

10212022212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10212022212012 is an abundant number, since it is smaller than the sum of its proper divisors (15969196435572).

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

10212022212012 is a wasteful number, since it uses less digits than its factorization.

10212022212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11200 (or 11195 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10212022212012 its reverse (21021222021201), we get a palindrome (31233244233213).

The spelling of 10212022212012 in words is "ten trillion, two hundred twelve billion, twenty-two million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 331 404 606 662 857 909 993 1212 1324 1714 1818 1986 2571 2979 3428 3636 3972 5142 5958 7713 9901 10284 11916 15426 19802 29703 30852 33431 39604 59406 66862 86557 89109 100293 118812 133724 173114 178218 200586 259671 283667 300879 346228 356436 401172 519342 567334 601758 779013 851001 1000001 1038684 1134668 1203516 1558026 1702002 2000002 2553003 3000003 3116052 3277231 3404004 4000004 5106006 6000006 6554462 8485157 9000009 9831693 10212012 12000012 13108924 16970314 18000018 19663386 25455471 28650367 29495079 33940628 36000036 39326772 50910942 57300734 58990158 76366413 85951101 101821884 114601468 117980316 152732826 171902202 257853303 305465652 331000331 343804404 515706606 662000662 857000857 993000993 1031413212 1324001324 1714001714 1986001986 2571002571 2808586967 2979002979 3428003428 3972003972 5142005142 5617173934 5958005958 7713007713 8425760901 10284010284 11234347868 11916011916 15426015426 16851521802 25277282703 30852030852 33703043604 50554565406 101109130812 283667283667 567334567334 851001851001 1134669134668 1702003702002 2553005553003 3404007404004 5106011106006 10212022212012