Search a number
-
+
10212014410 = 251317359271
BaseRepresentation
bin10011000001010111…
…01111100101001010
3222100200201002012221
421200223233211022
5131403233430120
64405154524254
7511030455523
oct114053574512
928320632187
1010212014410
114370463634
121b8bb9668a
13c698c01a0
146cc39184a
153eb7dc0aa
hex260aef94a

10212014410 has 128 divisors (see below), whose sum is σ = 21467980800. Its totient is φ = 3475768320.

The previous prime is 10212014363. The next prime is 10212014411. The reversal of 10212014410 is 1441021201.

It is a happy number.

10212014410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10212014411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37682575 + ... + 37682845.

It is an arithmetic number, because the mean of its divisors is an integer number (167718600).

Almost surely, 210212014410 is an apocalyptic number.

10212014410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10212014410 is an abundant number, since it is smaller than the sum of its proper divisors (11255966390).

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

10212014410 is a wasteful number, since it uses less digits than its factorization.

10212014410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10212014410 its reverse (1441021201), we get a palindrome (11653035611).

The spelling of 10212014410 in words is "ten billion, two hundred twelve million, fourteen thousand, four hundred ten".

Divisors: 1 2 5 10 13 17 26 34 59 65 85 118 130 170 221 271 289 295 442 542 578 590 767 1003 1105 1355 1445 1534 2006 2210 2710 2890 3523 3757 3835 4607 4913 5015 7046 7514 7670 9214 9826 10030 13039 15989 17051 17615 18785 23035 24565 26078 31978 34102 35230 37570 46070 49130 59891 63869 65195 78319 79945 85255 119782 127738 130390 156638 159890 170510 207857 221663 271813 289867 299455 319345 391595 415714 443326 543626 579734 598910 638690 783190 1018147 1039285 1108315 1331423 1359065 1449335 2036294 2078570 2216630 2662846 2718130 2898670 3533569 3768271 4620821 5090735 6657115 7067138 7536542 9241642 10181470 13314230 17308499 17667845 18841355 23104105 34616998 35335690 37682710 46208210 60070673 78553957 86542495 120141346 157107914 173084990 300353365 392769785 600706730 785539570 1021201441 2042402882 5106007205 10212014410