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10312123340 = 2252923119777
BaseRepresentation
bin10011001101010011…
…01000001111001100
3222121200002010212002
421212221220033030
5132104400421330
64423132331432
7513354413351
oct114651501714
928550063762
1010312123340
114411a19992
121bb9613b78
13c8457143c
146db7b0628
154054b3e45
hex266a683cc

10312123340 has 72 divisors (see below), whose sum is σ = 23152601472. Its totient is φ = 3853946880.

The previous prime is 10312123321. The next prime is 10312123343. The reversal of 10312123340 is 4332121301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10312123343) 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, 511532 + ... + 531308.

Almost surely, 210312123340 is an apocalyptic number.

10312123340 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 10312123340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11576300736).

10312123340 is an abundant number, since it is smaller than the sum of its proper divisors (12840478132).

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

10312123340 is a wasteful number, since it uses less digits than its factorization.

10312123340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19875 (or 19844 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10312123340 its reverse (4332121301), we get a palindrome (14644244641).

The spelling of 10312123340 in words is "ten billion, three hundred twelve million, one hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 580 620 841 899 1682 1798 3364 3596 4205 4495 8410 8990 16820 17980 19777 26071 39554 52142 79108 98885 104284 130355 197770 260710 395540 521420 573533 613087 1147066 1226174 2294132 2452348 2867665 3065435 5735330 6130870 11470660 12261740 16632457 17779523 33264914 35559046 66529828 71118092 83162285 88897615 166324570 177795230 332649140 355590460 515606167 1031212334 2062424668 2578030835 5156061670 10312123340