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10221301230 = 2357411936151
BaseRepresentation
bin10011000010011110…
…01010110111101110
3222101100011220100020
421201033022313232
5131413123114410
64410125543010
7511202425020
oct114117126756
928340156306
1010221301230
114375726998
121b93114a66
13c6b7c224a
146cd6cc010
153ec523a70
hex2613cadee

10221301230 has 128 divisors (see below), whose sum is σ = 28872861696. Its totient is φ = 2267136000.

The previous prime is 10221301229. The next prime is 10221301243. The reversal of 10221301230 is 3210312201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1658655 + ... + 1664805.

It is an arithmetic number, because the mean of its divisors is an integer number (225569232).

Almost surely, 210221301230 is an apocalyptic number.

10221301230 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 10221301230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14436430848).

10221301230 is an abundant number, since it is smaller than the sum of its proper divisors (18651560466).

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

10221301230 is a wasteful number, since it uses less digits than its factorization.

10221301230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6402.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10221301230 its reverse (3210312201), we get a palindrome (13431613431).

The spelling of 10221301230 in words is "ten billion, two hundred twenty-one million, three hundred one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 193 205 210 246 287 386 410 574 579 615 861 965 1158 1230 1351 1435 1722 1930 2702 2870 2895 4053 4305 5790 6151 6755 7913 8106 8610 12302 13510 15826 18453 20265 23739 30755 36906 39565 40530 43057 47478 55391 61510 79130 86114 92265 110782 118695 129171 166173 184530 215285 237390 252191 258342 276955 332346 430570 504382 553910 645855 756573 830865 1187143 1260955 1291710 1513146 1661730 1765337 2374286 2521910 3530674 3561429 3782865 5296011 5935715 7122858 7565730 8310001 8826685 10592022 11871430 16620002 17653370 17807145 24930003 26480055 35614290 41550005 48672863 49860006 52960110 83100010 97345726 124650015 146018589 243364315 249300030 292037178 340710041 486728630 681420082 730092945 1022130123 1460185890 1703550205 2044260246 3407100410 5110650615 10221301230