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10302301000 = 235340925189
BaseRepresentation
bin10011001100001000…
…01010001101001000
3222120222121010010201
421212010022031020
5132044342113000
64422142021544
7513205053655
oct114604121510
928528533121
1010302301000
114407420252
121bb62778b4
13c825126c4
146da374c2c
154046c396a
hex26610a348

10302301000 has 64 divisors (see below), whose sum is σ = 24167286000. Its totient is φ = 4110681600.

The previous prime is 10302300977. The next prime is 10302301039. The reversal of 10302301000 is 10320301.

It can be written as a sum of positive squares in 8 ways, for example, as 4496775364 + 5805525636 = 67058^2 + 76194^2 .

It is a super-2 number, since 2×103023010002 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396406 + ... + 421594.

Almost surely, 210302301000 is an apocalyptic number.

10302301000 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 10302301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12083643000).

10302301000 is an abundant number, since it is smaller than the sum of its proper divisors (13864985000).

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

10302301000 is a wasteful number, since it uses less digits than its factorization.

10302301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25619 (or 25605 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10302301000 its reverse (10320301), we get a palindrome (10312621301).

The spelling of 10302301000 in words is "ten billion, three hundred two million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 409 500 818 1000 1636 2045 3272 4090 8180 10225 16360 20450 25189 40900 50378 51125 81800 100756 102250 125945 201512 204500 251890 409000 503780 629725 1007560 1259450 2518900 3148625 5037800 6297250 10302301 12594500 20604602 25189000 41209204 51511505 82418408 103023010 206046020 257557525 412092040 515115050 1030230100 1287787625 2060460200 2575575250 5151150500 10302301000