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10312111300 = 22521934715641
BaseRepresentation
bin10011001101010011…
…00101010011000100
3222121200001112100011
421212221211103010
5132104400030200
64423132200004
7513354333301
oct114651452304
928550045304
1010312111300
114411a10937
121bb9609004
13c84568b0a
146db7aa0a8
154054b05ba
hex266a654c4

10312111300 has 72 divisors (see below), whose sum is σ = 23624425440. Its totient is φ = 3896236800.

The previous prime is 10312111297. The next prime is 10312111301. The reversal of 10312111300 is 311121301.

It is not an unprimeable number, because it can be changed into a prime (10312111301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 651480 + ... + 667120.

It is an arithmetic number, because the mean of its divisors is an integer number (328117020).

Almost surely, 210312111300 is an apocalyptic number.

10312111300 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 10312111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11812212720).

10312111300 is an abundant number, since it is smaller than the sum of its proper divisors (13312314140).

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

10312111300 is a wasteful number, since it uses less digits than its factorization.

10312111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16021 (or 16014 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10312111300 its reverse (311121301), we get a palindrome (10623232601).

The spelling of 10312111300 in words is "ten billion, three hundred twelve million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 347 380 475 694 950 1388 1735 1900 3470 6593 6940 8675 13186 15641 17350 26372 31282 32965 34700 62564 65930 78205 131860 156410 164825 297179 312820 329650 391025 594358 659300 782050 1188716 1485895 1564100 2971790 5427427 5943580 7429475 10854854 14858950 21709708 27137135 29717900 54274270 103121113 108548540 135685675 206242226 271371350 412484452 515605565 542742700 1031211130 2062422260 2578027825 5156055650 10312111300