Search a number
-
+
10122004312 = 2372317534483
BaseRepresentation
bin10010110110101000…
…11000011101011000
3222010102100002120121
421123110120131120
5131212213114222
64352221403024
7505555421440
oct113324303530
928112302517
1010122004312
114324675722
121b65a09474
13c54066784
146c0441120
153e395c5c7
hex25b518758

10122004312 has 64 divisors (see below), whose sum is σ = 22651015680. Its totient is φ = 4146100992.

The previous prime is 10122004303. The next prime is 10122004331. The reversal of 10122004312 is 21340022101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2255623 + ... + 2260105.

It is an arithmetic number, because the mean of its divisors is an integer number (353922120).

Almost surely, 210122004312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122004312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11325507840).

10122004312 is an abundant number, since it is smaller than the sum of its proper divisors (12529011368).

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

10122004312 is a wasteful number, since it uses less digits than its factorization.

10122004312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6272 (or 6268 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10122004312 its reverse (21340022101), we get a palindrome (31462026413).

The spelling of 10122004312 in words is "ten billion, one hundred twenty-two million, four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 1753 3506 4483 7012 8966 12271 14024 17932 24542 31381 35864 40319 49084 62762 80638 98168 103109 125524 161276 206218 251048 282233 322552 412436 564466 721763 824872 1128932 1443526 2257864 2887052 5774104 7858699 15717398 31434796 55010893 62869592 110021786 180750077 220043572 361500154 440087144 723000308 1265250539 1446000616 2530501078 5061002156 10122004312