Search a number
-
+
10310001203112 = 2331333044875651
BaseRepresentation
bin1001011000000111101111…
…1101011001011110101000
31100111121220201012001001120
42112001323331121132220
52322404340301444422
633532203230415240
72112605304162342
oct226017375313650
940447821161046
1010310001203112
1133154a0997236
1211a6192661520
1359a2c8ca60a0
14279014628292
1512d2c064b45c
hex9607bf597a8

10310001203112 has 32 divisors (see below), whose sum is σ = 27757695547680. Its totient is φ = 3172308062400.

The previous prime is 10310001203093. The next prime is 10310001203137. The reversal of 10310001203112 is 21130210001301.

It is a happy number.

It is a super-3 number, since 3×103100012031123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10310001203091 and 10310001203100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16522437514 + ... + 16522438137.

It is an arithmetic number, because the mean of its divisors is an integer number (867427985865).

Almost surely, 210310001203112 is an apocalyptic number.

10310001203112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10310001203112 is an abundant number, since it is smaller than the sum of its proper divisors (17447694344568).

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

10310001203112 is a wasteful number, since it uses less digits than its factorization.

10310001203112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33044875673 (or 33044875669 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10310001203112 its reverse (21130210001301), we get a palindrome (31440211204413).

The spelling of 10310001203112 in words is "ten trillion, three hundred ten billion, one million, two hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 33044875651 66089751302 99134626953 132179502604 198269253906 264359005208 396538507812 429583383463 793077015624 859166766926 1288750150389 1718333533852 2577500300778 3436667067704 5155000601556 10310001203112