Search a number
-
+
10312201400 = 23521972271153
BaseRepresentation
bin10011001101010011…
…11011010010111000
3222121200020002221012
421212221323102320
5132104410421100
64423134133052
7513355160054
oct114651732270
928550202835
1010312201400
114411a725a6
121bb9651188
13c8459ab27
146db7d0c64
154054cc135
hex266a7b4b8

10312201400 has 96 divisors (see below), whose sum is σ = 24224721840. Its totient is φ = 4082319360.

The previous prime is 10312201399. The next prime is 10312201421. The reversal of 10312201400 is 410221301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8943224 + ... + 8944376.

Almost surely, 210312201400 is an apocalyptic number.

10312201400 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 10312201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12112360920).

10312201400 is an abundant number, since it is smaller than the sum of its proper divisors (13912520440).

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

10312201400 is a wasteful number, since it uses less digits than its factorization.

10312201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10312201400 its reverse (410221301), we get a palindrome (10722422701).

The spelling of 10312201400 in words is "ten billion, three hundred twelve million, two hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 197 200 227 394 454 788 908 985 1135 1153 1576 1816 1970 2270 2306 3940 4540 4612 4925 5675 5765 7880 9080 9224 9850 11350 11530 19700 22700 23060 28825 39400 44719 45400 46120 57650 89438 115300 178876 223595 227141 230600 261731 357752 447190 454282 523462 894380 908564 1046924 1117975 1135705 1308655 1788760 1817128 2093848 2235950 2271410 2617310 4471900 4542820 5234620 5678525 6543275 8943800 9085640 10469240 11357050 13086550 22714100 26173100 45428200 51561007 52346200 103122014 206244028 257805035 412488056 515610070 1031220140 1289025175 2062440280 2578050350 5156100700 10312201400