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101330213013 = 3247616758613
BaseRepresentation
bin101111001011111000…
…0000101100010010101
3100200112212200011110100
41132113300011202111
53130011013304023
6114314522044313
710215025412361
oct1362760054225
9320485604410
10101330213013
1139a792998a7
121777b349699
13972b295633
144c939a82a1
152980de6c43
hex1797c05895

101330213013 has 48 divisors (see below), whose sum is σ = 154200773376. Its totient is φ = 64060571520.

The previous prime is 101330213009. The next prime is 101330213021. The reversal of 101330213013 is 310312033101.

It is a happy number.

101330213013 is a `hidden beast` number, since 10 + 1 + 330 + 21 + 301 + 3 = 666.

It is not a de Polignac number, because 101330213013 - 22 = 101330213009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101330213063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1699495 + ... + 1758107.

It is an arithmetic number, because the mean of its divisors is an integer number (3212516112).

Almost surely, 2101330213013 is an apocalyptic number.

It is an amenable number.

101330213013 is a deficient number, since it is larger than the sum of its proper divisors (52870560363).

101330213013 is a wasteful number, since it uses less digits than its factorization.

101330213013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58794 (or 58791 counting only the distinct ones).

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

Adding to 101330213013 its reverse (310312033101), we get a palindrome (411642246114).

The spelling of 101330213013 in words is "one hundred one billion, three hundred thirty million, two hundred thirteen thousand, thirteen".

Divisors: 1 3 9 47 61 67 141 183 201 423 549 603 2867 3149 4087 8601 9447 12261 25803 28341 36783 58613 175839 192089 527517 576267 1728801 2754811 3575393 3927071 8264433 10726179 11781213 24793299 32178537 35343639 168043471 184572337 239551331 504130413 553717011 718653993 1512391239 1661151033 2155961979 11258912557 33776737671 101330213013