Search a number
-
+
10010321313210 = 23351011013362371
BaseRepresentation
bin1001000110101011010110…
…1001010101110110111010
31022102222101111121021211000
42101222311221111312322
52303002114224010320
633142402250345430
72052136044144411
oct221526551256672
938388344537730
1010010321313210
11320a39845a439
12115809842b276
13577c7a59684a
14268705c12478
151255d111ec90
hex91ab5a55dba

10010321313210 has 128 divisors (see below), whose sum is σ = 26985176075520. Its totient is φ = 2640372768000.

The previous prime is 10010321313151. The next prime is 10010321313313. The reversal of 10010321313210 is 1231312301001.

10010321313210 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 321 + 313 + 21 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27443325 + ... + 27805695.

It is an arithmetic number, because the mean of its divisors is an integer number (210821688090).

Almost surely, 210010321313210 is an apocalyptic number.

10010321313210 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 10010321313210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13492588037760).

10010321313210 is an abundant number, since it is smaller than the sum of its proper divisors (16974854762310).

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

10010321313210 is a wasteful number, since it uses less digits than its factorization.

10010321313210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363501 (or 363495 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10010321313210 its reverse (1231312301001), we get a palindrome (11241633614211).

The spelling of 10010321313210 in words is "ten trillion, ten billion, three hundred twenty-one million, three hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 270 303 505 606 909 1010 1013 1515 1818 2026 2727 3030 3039 4545 5065 5454 6078 9090 9117 10130 13635 15195 18234 27270 27351 30390 45585 54702 91170 102313 136755 204626 273510 306939 362371 511565 613878 724742 920817 1023130 1087113 1534695 1811855 1841634 2174226 2762451 3069390 3261339 3623710 4604085 5435565 5524902 6522678 9208170 9784017 10871130 13812255 16306695 19568034 27624510 32613390 36599471 48920085 73198942 97840170 109798413 182997355 219596826 329395239 365994710 367081823 548992065 658790478 734163646 988185717 1097984130 1101245469 1646976195 1835409115 1976371434 2202490938 3293952390 3303736407 3670818230 4940928585 5506227345 6607472814 9881857170 9911209221 11012454690 16518682035 19822418442 33037364070 37075264123 49556046105 74150528246 99112092210 111225792369 185376320615 222451584738 333677377107 370752641230 556128961845 667354754214 1001032131321 1112257923690 1668386885535 2002064262642 3336773771070 5005160656605 10010321313210