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1020323130 = 235412713061
BaseRepresentation
bin111100110100001…
…110010100111010
32122002220210012120
4330310032110322
54042200320010
6245125022110
734166414001
oct7464162472
92562823176
101020323130
11483a44962
12245854936
131335046c8
149971bc38
155e897e70
hex3cd0e53a

1020323130 has 64 divisors (see below), whose sum is σ = 2518580736. Its totient is φ = 264384000.

The previous prime is 1020323093. The next prime is 1020323131. The reversal of 1020323130 is 313230201.

It is a super-2 number, since 2×10203231302 = 2082118579225993800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1020323131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331800 + ... + 334860.

It is an arithmetic number, because the mean of its divisors is an integer number (39352824).

Almost surely, 21020323130 is an apocalyptic number.

1020323130 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 1020323130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259290368).

1020323130 is an abundant number, since it is smaller than the sum of its proper divisors (1498257606).

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

1020323130 is a wasteful number, since it uses less digits than its factorization.

1020323130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1020323130 is about 31942.4972411363. The cubic root of 1020323130 is about 1006.7289957217.

Adding to 1020323130 its reverse (313230201), we get a palindrome (1333553331).

It can be divided in two parts, 10203 and 23130, that added together give a palindrome (33333).

The spelling of 1020323130 in words is "one billion, twenty million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 542 615 813 1230 1355 1626 2710 3061 4065 6122 8130 9183 11111 15305 18366 22222 30610 33333 45915 55555 66666 91830 111110 125501 166665 251002 333330 376503 627505 753006 829531 1255010 1659062 1882515 2488593 3765030 4147655 4977186 8295310 12442965 24885930 34010771 68021542 102032313 170053855 204064626 340107710 510161565 1020323130