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10302104320 = 28523334543
BaseRepresentation
bin10011001100000110…
…11010001100000000
3222120222020010100021
421212003122030000
5132044314314240
64422133503224
7513203304364
oct114603321400
928528203307
1010302104320
1144072a6502
121bb61a1b14
13c82474021
146da3232a4
1540468554a
hex2660da300

10302104320 has 72 divisors (see below), whose sum is σ = 24783385536. Its totient is φ = 4103036928.

The previous prime is 10302104299. The next prime is 10302104327. The reversal of 10302104320 is 2340120301.

It is a happy number.

It is a super-2 number, since 2×103021043202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10302104294 and 10302104303.

It is not an unprimeable number, because it can be changed into a prime (10302104327) 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, 280969 + ... + 315511.

It is an arithmetic number, because the mean of its divisors is an integer number (344213688).

Almost surely, 210302104320 is an apocalyptic number.

10302104320 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 10302104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12391692768).

10302104320 is an abundant number, since it is smaller than the sum of its proper divisors (14481281216).

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

10302104320 is an equidigital number, since it uses as much as digits as its factorization.

10302104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34797 (or 34783 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10302104320 its reverse (2340120301), we get a palindrome (12642224621).

The spelling of 10302104320 in words is "ten billion, three hundred two million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 233 256 320 466 640 932 1165 1280 1864 2330 3728 4660 7456 9320 14912 18640 29824 34543 37280 59648 69086 74560 138172 149120 172715 276344 298240 345430 552688 690860 1105376 1381720 2210752 2763440 4421504 5526880 8048519 8843008 11053760 16097038 22107520 32194076 40242595 44215040 64388152 80485190 128776304 160970380 257552608 321940760 515105216 643881520 1030210432 1287763040 2060420864 2575526080 5151052160 10302104320