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10312114300 = 225210729007
BaseRepresentation
bin10011001101010011…
…00110000001111100
3222121200001200110021
421212221212001330
5132104400124200
64423132221524
7513354345115
oct114651460174
928550050407
1010312114300
114411a13114
121bb960a8a4
13c8456a2a7
146db7ab20c
154054b141a
hex266a6607c

10312114300 has 54 divisors (see below), whose sum is σ = 22590883952. Its totient is φ = 4085842080.

The previous prime is 10312114271. The next prime is 10312114301. The reversal of 10312114300 is 341121301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312114301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1140397 + ... + 1149403.

Almost surely, 210312114300 is an apocalyptic number.

10312114300 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 10312114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11295441976).

10312114300 is an abundant number, since it is smaller than the sum of its proper divisors (12278769652).

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

10312114300 is a wasteful number, since it uses less digits than its factorization.

10312114300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9235 (or 9121 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10312114300 its reverse (341121301), we get a palindrome (10653235601).

The spelling of 10312114300 in words is "ten billion, three hundred twelve million, one hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1070 2140 2675 5350 9007 10700 11449 18014 22898 36028 45035 45796 57245 90070 114490 180140 225175 228980 286225 450350 572450 900700 963749 1144900 1927498 3854996 4818745 9637490 19274980 24093725 48187450 96374900 103121143 206242286 412484572 515605715 1031211430 2062422860 2578028575 5156057150 10312114300