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1021020030 = 2325312931249
BaseRepresentation
bin111100110110111…
…000011101111110
32122011020012011200
4330312320131332
54042340120110
6245152000330
734205345532
oct7466703576
92564205150
101021020030
11484380508
12245b300a6
131336b9984
149985dbc2
155e9846c0
hex3cdb877e

1021020030 has 96 divisors (see below), whose sum is σ = 2751840000. Its totient is φ = 262379520.

The previous prime is 1021020029. The next prime is 1021020041. The reversal of 1021020030 is 300201201.

It is a happy number.

It is a super-2 number, since 2×10210200302 = 2084963803322401800, which contains 22 as substring.

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 = 1021019994 and 1021020021.

It is a congruent number.

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, 816846 + ... + 818094.

It is an arithmetic number, because the mean of its divisors is an integer number (28665000).

Almost surely, 21021020030 is an apocalyptic number.

1021020030 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 1021020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375920000).

1021020030 is an abundant number, since it is smaller than the sum of its proper divisors (1730819970).

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

1021020030 is a wasteful number, since it uses less digits than its factorization.

1021020030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1583 counting only the distinct ones).

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

The square root of 1021020030 is about 31953.4040440138. The cubic root of 1021020030 is about 1006.9581485407.

Adding to 1021020030 its reverse (300201201), we get a palindrome (1321221231).

The spelling of 1021020030 in words is "one billion, twenty-one million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 293 310 465 558 586 879 930 1249 1395 1465 1758 2498 2637 2790 2930 3747 4395 5274 6245 7494 8790 9083 11241 12490 13185 18166 18735 22482 26370 27249 37470 38719 45415 54498 56205 77438 81747 90830 112410 116157 136245 163494 193595 232314 272490 348471 365957 387190 408735 580785 696942 731914 817470 1097871 1161570 1742355 1829785 2195742 3293613 3484710 3659570 5489355 6587226 10978710 11344667 16468065 22689334 32936130 34034001 56723335 68068002 102102003 113446670 170170005 204204006 340340010 510510015 1021020030