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10110002121212 = 2275361152373331
BaseRepresentation
bin1001001100011110101100…
…0101011100100111111100
31022210111200102121222221212
42103013223011130213330
52311120241020334322
633300245412143552
72062265164061120
oct223075305344774
938714612558855
1010110002121212
11324869a6a28a4
121173477307bb8
135844a4c18a86
1426d480705580
15127eb73090e2
hex931eb15c9fc

10110002121212 has 96 divisors (see below), whose sum is σ = 20953277904384. Its totient is φ = 4178613254400.

The previous prime is 10110002121199. The next prime is 10110002121281. The reversal of 10110002121212 is 21212120001101.

It is a super-2 number, since 2×101100021212122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137831387 + ... + 137904717.

It is an arithmetic number, because the mean of its divisors is an integer number (218263311504).

Almost surely, 210110002121212 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 10110002121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10476638952192).

10110002121212 is an abundant number, since it is smaller than the sum of its proper divisors (10843275783172).

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

10110002121212 is a wasteful number, since it uses less digits than its factorization.

10110002121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74979 (or 74977 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10110002121212 its reverse (21212120001101), we get a palindrome (31322122122313).

The spelling of 10110002121212 in words is "ten trillion, one hundred ten billion, two million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 53 61 106 122 212 244 371 427 742 854 1484 1523 1708 3046 3233 6092 6466 10661 12932 21322 22631 42644 45262 73331 80719 90524 92903 146662 161438 185806 293324 322876 371612 513317 565033 650321 1026634 1130066 1300642 2053268 2260132 2601284 3886543 4473191 4923859 7773086 8946382 9847718 15546172 17892764 19695436 27205801 31312337 34467013 54411602 62624674 68934026 108823204 111683113 125249348 137868052 223366226 237079123 446732452 474158246 781781791 948316492 1563563582 1659553861 3127127164 3319107722 5919204989 6638215444 6812669893 11838409978 13625339786 23676819956 27250679572 41434434923 47688689251 82868869846 95377378502 165737739692 190754757004 361071504329 722143008658 1444286017316 2527500530303 5055001060606 10110002121212