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10310123304 = 23321319357073
BaseRepresentation
bin10011001101000011…
…11111111100101000
3222121112022112022200
421212201333330220
5132103342421204
64423021420200
7513331413345
oct114641777450
928545275280
1010310123304
114410883268
121bb8a0a660
13c84020ca0
146db40d7cc
1540521b539
hex26687ff28

10310123304 has 96 divisors (see below), whose sum is σ = 30227531880. Its totient is φ = 3155853312.

The previous prime is 10310123269. The next prime is 10310123333. The reversal of 10310123304 is 40332101301.

10310123304 is a `hidden beast` number, since 10 + 310 + 12 + 330 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7292818404 + 3017304900 = 85398^2 + 54930^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152112 + ... + 209184.

Almost surely, 210310123304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10310123304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15113765940).

10310123304 is an abundant number, since it is smaller than the sum of its proper divisors (19917408576).

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

10310123304 is a wasteful number, since it uses less digits than its factorization.

10310123304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57291 (or 57284 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10310123304 its reverse (40332101301), we get a palindrome (50642224605).

The spelling of 10310123304 in words is "ten billion, three hundred ten million, one hundred twenty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 193 234 312 386 468 579 772 936 1158 1544 1737 2316 2509 3474 4632 5018 6948 7527 10036 13896 15054 20072 22581 30108 45162 57073 60216 90324 114146 171219 180648 228292 342438 456584 513657 684876 741949 1027314 1369752 1483898 2054628 2225847 2967796 4109256 4451694 5935592 6677541 8903388 11015089 13355082 17806776 22030178 26710164 33045267 44060356 53420328 66090534 88120712 99135801 132181068 143196157 198271602 264362136 286392314 396543204 429588471 572784628 793086408 859176942 1145569256 1288765413 1718353884 2577530826 3436707768 5155061652 10310123304