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1022030010 = 2325313371087
BaseRepresentation
bin111100111010101…
…111000010111010
32122020010111121100
4330322233002322
54043114430020
6245225352230
734220053221
oct7472570272
92566114540
101022030010
11484a00301
12246338676
131339815b1
1499a43cb8
155ead3a90
hex3ceaf0ba

1022030010 has 96 divisors (see below), whose sum is σ = 2753667072. Its totient is φ = 262725120.

The previous prime is 1022029999. The next prime is 1022030017. The reversal of 1022030010 is 100302201.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1022029974 and 1022030001.

It is not an unprimeable number, because it can be changed into a prime (1022030017) 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, 939687 + ... + 940773.

It is an arithmetic number, because the mean of its divisors is an integer number (28684032).

Almost surely, 21022030010 is an apocalyptic number.

1022030010 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 1022030010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376833536).

1022030010 is an abundant number, since it is smaller than the sum of its proper divisors (1731637062).

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

1022030010 is a wasteful number, since it uses less digits than its factorization.

1022030010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1022030010 is about 31969.2040876841. The cubic root of 1022030010 is about 1007.2900625118.

Adding to 1022030010 its reverse (100302201), we get a palindrome (1122332211).

The spelling of 1022030010 in words is "one billion, twenty-two million, thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 337 465 558 674 930 1011 1087 1395 1685 2022 2174 2790 3033 3261 3370 5055 5435 6066 6522 9783 10110 10447 10870 15165 16305 19566 20894 30330 31341 32610 33697 48915 52235 62682 67394 94023 97830 101091 104470 156705 168485 188046 202182 303273 313410 336970 366319 470115 505455 606546 732638 940230 1010910 1098957 1516365 1831595 2197914 3032730 3296871 3663190 5494785 6593742 10989570 11355889 16484355 22711778 32968710 34067667 56779445 68135334 102203001 113558890 170338335 204406002 340676670 511015005 1022030010