Search a number
-
+
10123987212 = 22323716374643
BaseRepresentation
bin10010110110110111…
…11100100100001100
3222010120001211121100
421123123330210030
5131213220042322
64352332103100
7505611320463
oct113333744414
928116054540
1010123987212
1143257aa489
121b66604a90
13c545ac1a1
146c07d99da
153e3beedac
hex25b6fc90c

10123987212 has 72 divisors (see below), whose sum is σ = 26304563376. Its totient is φ = 3280742784.

The previous prime is 10123987207. The next prime is 10123987217. The reversal of 10123987212 is 21278932101.

It is an interprime number because it is at equal distance from previous prime (10123987207) and next prime (10123987217).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10123987217) 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, 2178163 + ... + 2182805.

It is an arithmetic number, because the mean of its divisors is an integer number (365341158).

Almost surely, 210123987212 is an apocalyptic number.

10123987212 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 10123987212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13152281688).

10123987212 is an abundant number, since it is smaller than the sum of its proper divisors (16180576164).

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

10123987212 is a wasteful number, since it uses less digits than its factorization.

10123987212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6327 (or 6322 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10123987212 in words is "ten billion, one hundred twenty-three million, nine hundred eighty-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1637 3274 4643 4911 6548 9286 9822 13929 14733 18572 19644 27858 29466 41787 55716 58932 60569 83574 121138 167148 171791 181707 242276 343582 363414 515373 545121 687164 726828 1030746 1090242 1546119 2061492 2180484 3092238 6184476 7600591 15201182 22801773 30402364 45603546 68405319 91207092 136810638 273621276 281221867 562443734 843665601 1124887468 1687331202 2530996803 3374662404 5061993606 10123987212