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1022120010 = 2325191374363
BaseRepresentation
bin111100111011000…
…101000001001010
32122020022002001200
4330323011001022
54043130320020
6245231325030
734220606502
oct7473050112
92566262050
101022120010
11484a6198a
12246380776
131339b3552
1499a68a02
155eb00590
hex3cec504a

1022120010 has 96 divisors (see below), whose sum is σ = 2818445760. Its totient is φ = 256276224.

The previous prime is 1022120009. The next prime is 1022120059. The reversal of 1022120010 is 100212201.

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 = 1022119974 and 1022120001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232089 + ... + 236451.

It is an arithmetic number, because the mean of its divisors is an integer number (29358810).

Almost surely, 21022120010 is an apocalyptic number.

1022120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409222880).

1022120010 is an abundant number, since it is smaller than the sum of its proper divisors (1796325750).

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

1022120010 is a wasteful number, since it uses less digits than its factorization.

1022120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 4529 counting only the distinct ones).

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

The square root of 1022120010 is about 31970.6116613367. The cubic root of 1022120010 is about 1007.3196289771.

Adding to 1022120010 its reverse (100212201), we get a palindrome (1122332211).

The spelling of 1022120010 in words is "one billion, twenty-two million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 137 171 190 274 285 342 411 570 685 822 855 1233 1370 1710 2055 2466 2603 4110 4363 5206 6165 7809 8726 12330 13015 13089 15618 21815 23427 26030 26178 39045 39267 43630 46854 65445 78090 78534 82897 117135 130890 165794 196335 234270 248691 392670 414485 497382 597731 746073 828970 1195462 1243455 1492146 1793193 2486910 2988655 3586386 3730365 5379579 5977310 7460730 8965965 10759158 11356889 17931930 22713778 26897895 34070667 53795790 56784445 68141334 102212001 113568890 170353335 204424002 340706670 511060005 1022120010