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10310001012 = 2232378986969
BaseRepresentation
bin10011001101000011…
…00010000101110100
3222121112002022120100
421212201202011310
5132103330013022
64423015034100
7513330363663
oct114641420564
928545068510
1010310001012
1144107aa3a3
121bb896b930
13c83caa41c
146db3badda
154051e51ac
hex266862174

10310001012 has 72 divisors (see below), whose sum is σ = 27066803400. Its totient is φ = 3306175488.

The previous prime is 10310000977. The next prime is 10310001019. The reversal of 10310001012 is 21010001301.

It can be written as a sum of positive squares in 4 ways, for example, as 63297936 + 10246703076 = 7956^2 + 101226^2 .

It is a super-2 number, since 2×103100010122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10310000985 and 10310001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10310001019) 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, 75064 + ... + 162032.

It is an arithmetic number, because the mean of its divisors is an integer number (375927825).

Almost surely, 210310001012 is an apocalyptic number.

10310001012 is a gapful number since it is divisible by the number (12) 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 10310001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13533401700).

10310001012 is an abundant number, since it is smaller than the sum of its proper divisors (16756802388).

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

10310001012 is a wasteful number, since it uses less digits than its factorization.

10310001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87105 (or 87100 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10310001012 its reverse (21010001301), we get a palindrome (31320002313).

The spelling of 10310001012 in words is "ten billion, three hundred ten million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 89 111 148 178 222 267 333 356 444 534 666 801 1068 1332 1602 3204 3293 6586 9879 13172 19758 29637 39516 59274 86969 118548 173938 260907 347876 521814 782721 1043628 1565442 3130884 3217853 6435706 7740241 9653559 12871412 15480482 19307118 23220723 28960677 30960964 38614236 46441446 57921354 69662169 92882892 115842708 139324338 278648676 286388917 572777834 859166751 1145555668 1718333502 2577500253 3436667004 5155000506 10310001012