Search a number
-
+
10312010144 = 251721958687
BaseRepresentation
bin10011001101010010…
…01100100110100000
3222121122212101120122
421212221030212200
5132104333311034
64423130055412
7513353432342
oct114651144640
928548771518
1010312010144
114411951937
121bb957a568
13c84531a67
146db781292
1540549062e
hex266a4c9a0

10312010144 has 72 divisors (see below), whose sum is σ = 22701692160. Its totient is φ = 4597226496.

The previous prime is 10312010123. The next prime is 10312010171. The reversal of 10312010144 is 44101021301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146369 + ... + 205055.

It is an arithmetic number, because the mean of its divisors is an integer number (315301280).

Almost surely, 210312010144 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 10312010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11350846080).

10312010144 is an abundant number, since it is smaller than the sum of its proper divisors (12389682016).

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

10312010144 is a wasteful number, since it uses less digits than its factorization.

10312010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58750 (or 58725 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10312010144 its reverse (44101021301), we get a palindrome (54413031445).

The spelling of 10312010144 in words is "ten billion, three hundred twelve million, ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 289 304 323 544 578 608 646 1156 1292 2312 2584 4624 5168 5491 9248 10336 10982 21964 43928 58687 87856 117374 175712 234748 469496 938992 997679 1115053 1877984 1995358 2230106 3990716 4460212 7981432 8920424 15962864 16960543 17840848 18955901 31925728 33921086 35681696 37911802 67842172 75823604 135684344 151647208 271368688 303294416 322250317 542737376 606588832 644500634 1289001268 2578002536 5156005072 10312010144