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2010011213331 = 341116324157427
BaseRepresentation
bin11101001111111110000…
…000010001111000010011
321010011012010201011220000
4131033332000101320103
5230413000332311311
64135215244021043
7265134644261652
oct35177600217023
97104163634800
102010011213331
11705493a24610
12285678831783
1311770a679744
146d3dc2d1199
1537441d53056
hex1d3fe011e13

2010011213331 has 80 divisors (see below), whose sum is σ = 3309401977728. Its totient is φ = 1205670355200.

The previous prime is 2010011213311. The next prime is 2010011213351. The reversal of 2010011213331 is 1333121100102.

2010011213331 is a `hidden beast` number, since 20 + 100 + 1 + 1 + 213 + 331 = 666.

It is an interprime number because it is at equal distance from previous prime (2010011213311) and next prime (2010011213351).

It is not a de Polignac number, because 2010011213331 - 26 = 2010011213267 is a prime.

It is a super-5 number, since 5×20100112133315 (a number of 63 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2010011213311) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34972440 + ... + 35029866.

Almost surely, 22010011213331 is an apocalyptic number.

2010011213331 is a deficient number, since it is larger than the sum of its proper divisors (1299390764397).

2010011213331 is a wasteful number, since it uses less digits than its factorization.

2010011213331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57854 (or 57845 counting only the distinct ones).

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

Adding to 2010011213331 its reverse (1333121100102), we get a palindrome (3343132313433).

The spelling of 2010011213331 in words is "two trillion, ten billion, eleven million, two hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 33 81 99 163 241 297 489 723 891 1467 1793 2169 2651 4401 5379 6507 7953 13203 16137 19521 23859 39283 48411 57427 71577 117849 145233 172281 214731 353547 432113 516843 631697 1060641 1296339 1550529 1895091 3181923 3889017 4651587 5685273 9360601 11667051 13839907 17055819 28081803 35001153 41519721 51167457 84245409 102966611 124559163 152238977 252736227 308899833 373677489 456716931 758208681 926699499 1121032467 1370150793 2255904841 2780098497 4110452379 6767714523 8340295491 12331357137 20303143569 24814953251 60909430707 74444859753 182728292121 223334579259 670003737777 2010011213331