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1020213012 = 2237134321727
BaseRepresentation
bin111100110011110…
…011011100010100
32122002201012011010
4330303303130110
54042133304022
6245122412220
734165444650
oct7463633424
92562635133
101020213012
1148397a155
12245801070
13133496550
14996cda60
155e87550c
hex3ccf3714

1020213012 has 96 divisors (see below), whose sum is σ = 2998116352. Its totient is φ = 262797696.

The previous prime is 1020212989. The next prime is 1020213013. The reversal of 1020213012 is 2103120201.

It is a super-2 number, since 2×10202130122 = 2081669179708224288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020213013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36093 + ... + 57819.

Almost surely, 21020213012 is an apocalyptic number.

1020213012 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 1020213012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499058176).

1020213012 is an abundant number, since it is smaller than the sum of its proper divisors (1977903340).

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

1020213012 is a wasteful number, since it uses less digits than its factorization.

1020213012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21797 (or 21795 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1020213012 is about 31940.7735034705. The cubic root of 1020213012 is about 1006.6927774660.

Adding to 1020213012 its reverse (2103120201), we get a palindrome (3123333213).

The spelling of 1020213012 in words is "one billion, twenty million, two hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 43 52 78 84 86 91 129 156 172 182 258 273 301 364 516 546 559 602 903 1092 1118 1204 1677 1806 2236 3354 3612 3913 6708 7826 11739 15652 21727 23478 43454 46956 65181 86908 130362 152089 260724 282451 304178 456267 564902 608356 847353 912534 934261 1129804 1694706 1825068 1868522 1977157 2802783 3389412 3737044 3954314 5605566 5931471 6539827 7908628 11211132 11862942 12145393 13079654 19619481 23725884 24290786 26159308 36436179 39238962 48581572 72872358 78477924 85017751 145744716 170035502 255053253 340071004 510106506 1020213012