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1021030120 = 235114674969
BaseRepresentation
bin111100110110111…
…010111011101000
32122011020201000101
4330312322323220
54042340430440
6245152115144
734205420125
oct7466727350
92564221011
101021030120
11484388050
12245b35ab4
131336c1446
149986374c
155e98769a
hex3cdbaee8

1021030120 has 64 divisors (see below), whose sum is σ = 2512036800. Its totient is φ = 370414080.

The previous prime is 1021030103. The next prime is 1021030121. The reversal of 1021030120 is 210301201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1021030097 and 1021030106.

It is not an unprimeable number, because it can be changed into a prime (1021030121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202996 + ... + 207964.

It is an arithmetic number, because the mean of its divisors is an integer number (39250575).

Almost surely, 21021030120 is an apocalyptic number.

1021030120 is a gapful number since it is divisible by the number (10) 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 1021030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256018400).

1021030120 is an abundant number, since it is smaller than the sum of its proper divisors (1491006680).

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

1021030120 is a wasteful number, since it uses less digits than its factorization.

1021030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5458 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1021030120 is about 31953.5619297755. The cubic root of 1021030120 is about 1006.9614655420.

Adding to 1021030120 its reverse (210301201), we get a palindrome (1231331321).

The spelling of 1021030120 in words is "one billion, twenty-one million, thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 467 934 1868 2335 3736 4670 4969 5137 9340 9938 10274 18680 19876 20548 24845 25685 39752 41096 49690 51370 54659 99380 102740 109318 198760 205480 218636 273295 437272 546590 1093180 2186360 2320523 4641046 9282092 11602615 18564184 23205230 25525753 46410460 51051506 92820920 102103012 127628765 204206024 255257530 510515060 1021030120