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231045100 = 22521113107151
BaseRepresentation
bin11011100010101…
…11011111101100
3121002202022021221
431301113133230
5433121420400
634532033124
75503564606
oct1561273754
9532668257
10231045100
11109467670
12654627a4
1338b36ba0
1422984176
151543cc1a
hexdc577ec

231045100 has 144 divisors (see below), whose sum is σ = 598461696. Its totient is φ = 76320000.

The previous prime is 231045083. The next prime is 231045103. The reversal of 231045100 is 1540132.

It is not an unprimeable number, because it can be changed into a prime (231045103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1530025 + ... + 1530175.

It is an arithmetic number, because the mean of its divisors is an integer number (4155984).

Almost surely, 2231045100 is an apocalyptic number.

231045100 is a gapful number since it is divisible by the number (20) 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 231045100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299230848).

231045100 is an abundant number, since it is smaller than the sum of its proper divisors (367416596).

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

231045100 is a wasteful number, since it uses less digits than its factorization.

231045100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 231045100 is about 15200.1677622321. The cubic root of 231045100 is about 613.6191727154.

Adding to 231045100 its reverse (1540132), we get a palindrome (232585232).

The spelling of 231045100 in words is "two hundred thirty-one million, forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 107 110 130 143 151 214 220 260 275 286 302 325 428 535 550 572 604 650 715 755 1070 1100 1177 1300 1391 1430 1510 1661 1963 2140 2354 2675 2782 2860 3020 3322 3575 3775 3926 4708 5350 5564 5885 6644 6955 7150 7550 7852 8305 9815 10700 11770 13910 14300 15100 15301 16157 16610 19630 21593 23540 27820 29425 30602 32314 33220 34775 39260 41525 43186 49075 58850 61204 64628 69550 76505 80785 83050 86372 98150 107965 117700 139100 153010 161570 166100 177727 196300 210041 215930 306020 323140 355454 382525 403925 420082 431860 539825 710908 765050 807850 840164 888635 1050205 1079650 1530100 1615700 1777270 2100410 2159300 2310451 3554540 4200820 4443175 4620902 5251025 8886350 9241804 10502050 11552255 17772700 21004100 23104510 46209020 57761275 115522550 231045100