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10301000320 = 275131238101
BaseRepresentation
bin10011001011111110…
…01100101010000000
3222120220011000221101
421211333030222000
5132044024002240
64422054104144
7513161025622
oct114577145200
928526130841
1010301000320
114406712006
121bb594b054
13c82178680
146da116c12
1540451839a
hex265fcca80

10301000320 has 64 divisors (see below), whose sum is σ = 26520144840. Its totient is φ = 3803443200.

The previous prime is 10301000267. The next prime is 10301000327. The reversal of 10301000320 is 2300010301.

It can be written as a sum of positive squares in 4 ways, for example, as 5799127104 + 4501873216 = 76152^2 + 67096^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×103010003202 (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 a junction number, because it is equal to n+sod(n) for n = 10301000297 and 10301000306.

It is not an unprimeable number, because it can be changed into a prime (10301000327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 610731 + ... + 627370.

Almost surely, 210301000320 is an apocalyptic number.

10301000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10301000320 is an abundant number, since it is smaller than the sum of its proper divisors (16219144520).

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

10301000320 is a wasteful number, since it uses less digits than its factorization.

10301000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238133 (or 1238121 counting only the distinct ones).

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

Adding to 10301000320 its reverse (2300010301), we get a palindrome (12601010621).

The spelling of 10301000320 in words is "ten billion, three hundred one million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 1238101 2476202 4952404 6190505 9904808 12381010 16095313 19809616 24762020 32190626 39619232 49524040 64381252 79238464 80476565 99048080 128762504 158476928 160953130 198096160 257525008 321906260 396192320 515050016 643812520 792384640 1030100032 1287625040 2060200064 2575250080 5150500160 10301000320