Search a number
-
+
10121031320 = 23523292103127
BaseRepresentation
bin10010110110100001…
…01010111010011000
3222010100111122212212
421123100222322120
5131211441000240
64352144454252
7505544226641
oct113320527230
928110448785
1010121031320
1143240706a4
121b6561a388
13c53ab593a
146c026a6c8
153e3819165
hex25b42ae98

10121031320 has 192 divisors, whose sum is σ = 25044664320. Its totient is φ = 3673410048.

The previous prime is 10121031289. The next prime is 10121031341. The reversal of 10121031320 is 2313012101.

It is a junction number, because it is equal to n+sod(n) for n = 10121031295 and 10121031304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79693097 + ... + 79693223.

It is an arithmetic number, because the mean of its divisors is an integer number (130440960).

Almost surely, 210121031320 is an apocalyptic number.

10121031320 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 10121031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12522332160).

10121031320 is an abundant number, since it is smaller than the sum of its proper divisors (14923633000).

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

10121031320 is a wasteful number, since it uses less digits than its factorization.

10121031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10121031320 its reverse (2313012101), we get a palindrome (12434043421).

The spelling of 10121031320 in words is "ten billion, one hundred twenty-one million, thirty-one thousand, three hundred twenty".