Search a number
-
+
231130032100 = 225211293717127
BaseRepresentation
bin1101011101000001101…
…1000110011111100100
3211002120211221011111021
43113100123012133210
512241323242011400
6254102450420524
722461421600042
oct3272033063744
9732524834437
10231130032100
118a026972060
1238964b91744
1318a4584b706
14b288645392
15602b3b771a
hex35d06c67e4

231130032100 has 72 divisors (see below), whose sum is σ = 549015985728. Its totient is φ = 83760316800.

The previous prime is 231130032071. The next prime is 231130032139. The reversal of 231130032100 is 1230031132.

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, 36264 + ... + 680863.

It is an arithmetic number, because the mean of its divisors is an integer number (7625222024).

Almost surely, 2231130032100 is an apocalyptic number.

231130032100 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 231130032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274507992864).

231130032100 is an abundant number, since it is smaller than the sum of its proper divisors (317885953628).

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

231130032100 is a wasteful number, since it uses less digits than its factorization.

231130032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717445 (or 717438 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 231130032100 its reverse (1230031132), we get a palindrome (232360063232).

The spelling of 231130032100 in words is "two hundred thirty-one billion, one hundred thirty million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 293 550 586 1100 1172 1465 2930 3223 5860 6446 7325 12892 14650 16115 29300 32230 64460 80575 161150 322300 717127 1434254 2868508 3585635 7171270 7888397 14342540 15776794 17928175 31553588 35856350 39441985 71712700 78883970 157767940 197209925 210118211 394419850 420236422 788839700 840472844 1050591055 2101182110 2311300321 4202364220 4622600642 5252955275 9245201284 10505910550 11556501605 21011821100 23113003210 46226006420 57782508025 115565016050 231130032100