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1020010212 = 2233131938237
BaseRepresentation
bin111100110011000…
…001111011100100
32122002022212222000
4330303001323210
54042110311322
6245114205300
734163641464
oct7463017344
92562285860
101020010212
11483850851
12245723830
13133425150
1499679ba4
155e8353ac
hex3ccc1ee4

1020010212 has 96 divisors (see below), whose sum is σ = 2997859200. Its totient is φ = 297323136.

The previous prime is 1020010171. The next prime is 1020010237. The reversal of 1020010212 is 2120100201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020010194 and 1020010203.

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, 7558 + ... + 45794.

It is an arithmetic number, because the mean of its divisors is an integer number (31227700).

Almost surely, 21020010212 is an apocalyptic number.

1020010212 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 1020010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498929600).

1020010212 is an abundant number, since it is smaller than the sum of its proper divisors (1977848988).

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

1020010212 is a wasteful number, since it uses less digits than its factorization.

1020010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38282 (or 38274 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1020010212 is about 31937.5987200040. The cubic root of 1020010212 is about 1006.6260689055.

Adding to 1020010212 its reverse (2120100201), we get a palindrome (3140110413).

The spelling of 1020010212 in words is "one billion, twenty million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 468 494 513 684 702 741 988 1026 1404 1482 2052 2223 2964 4446 6669 8892 13338 26676 38237 76474 114711 152948 229422 344133 458844 497081 688266 726503 994162 1032399 1376532 1453006 1491243 1988324 2064798 2179509 2906012 2982486 4129596 4359018 4473729 5964972 6538527 8718036 8947458 9444539 13077054 13421187 17894916 18889078 19615581 26154108 26842374 28333617 37778156 39231162 53684748 56667234 78462324 85000851 113334468 170001702 255002553 340003404 510005106 1020010212