Search a number
-
+
10301330123010 = 2325315077727247
BaseRepresentation
bin1001010111100111011100…
…0111110110100100000010
31100110210112102000112022200
42111321313013312210002
52322234111002414020
633524210555214030
72112150364210413
oct225716707664402
940423472015280
1010301330123010
113311851332433
1211a4572747316
1359954670b064
14278830b9380a
1512ce64292590
hex95e771f6902

10301330123010 has 96 divisors (see below), whose sum is σ = 27652924495872. Its totient is φ = 2657880501120.

The previous prime is 10301330122957. The next prime is 10301330123047. The reversal of 10301330123010 is 1032103310301.

It is a happy number.

10301330123010 is a `hidden beast` number, since 1 + 0 + 30 + 1 + 330 + 1 + 2 + 301 + 0 = 666.

It is a super-2 number, since 2×103013301230102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13801207 + ... + 14528453.

It is an arithmetic number, because the mean of its divisors is an integer number (288051296832).

Almost surely, 210301330123010 is an apocalyptic number.

10301330123010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10301330123010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13826462247936).

10301330123010 is an abundant number, since it is smaller than the sum of its proper divisors (17351594372862).

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

10301330123010 is a wasteful number, since it uses less digits than its factorization.

10301330123010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732368 (or 732365 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10301330123010 its reverse (1032103310301), we get a palindrome (11333433433311).

The spelling of 10301330123010 in words is "ten trillion, three hundred one billion, three hundred thirty million, one hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 5077 10154 15231 25385 30462 45693 50770 76155 91386 152310 157387 228465 314774 456930 472161 727247 786935 944322 1416483 1454494 1573870 2181741 2360805 2832966 3636235 4363482 4721610 6545223 7082415 7272470 10908705 13090446 14164830 21817410 22544657 32726115 45089314 65452230 67633971 112723285 135267942 202901913 225446570 338169855 405803826 676339710 1014509565 2029019130 3692233019 7384466038 11076699057 18461165095 22153398114 33230097171 36922330190 55383495285 66460194342 110766990570 114459223589 166150485855 228918447178 332300971710 343377670767 572296117945 686755341534 1030133012301 1144592235890 1716888353835 2060266024602 3433776707670 5150665061505 10301330123010