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3121410006 = 2341113134741
BaseRepresentation
bin1011101000001100…
…1110111111010110
322001112111001120000
42322003032333112
522343040110011
61233422352130
7140231355501
oct27203167726
98045431500
103121410006
111361a555a0
1273142b646
133a98b3190
142187ac138
15134077356
hexba0cefd6

3121410006 has 80 divisors (see below), whose sum is σ = 8217106128. Its totient is φ = 873115200.

The previous prime is 3121409999. The next prime is 3121410007. The reversal of 3121410006 is 6000141213.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121410007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 44205 + ... + 90536.

Almost surely, 23121410006 is an apocalyptic number.

3121410006 is an abundant number, since it is smaller than the sum of its proper divisors (5095696122).

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

3121410006 is a wasteful number, since it uses less digits than its factorization.

3121410006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134779 (or 134770 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3121410006 is about 55869.5803277598. The cubic root of 3121410006 is about 1461.4488035903.

Adding to 3121410006 its reverse (6000141213), we get a palindrome (9121551219).

The spelling of 3121410006 in words is "three billion, one hundred twenty-one million, four hundred ten thousand, six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 286 297 351 429 594 702 858 891 1053 1287 1782 2106 2574 3861 7722 11583 23166 134741 269482 404223 808446 1212669 1482151 1751633 2425338 2964302 3503266 3638007 4446453 5254899 7276014 8892906 10509798 10914021 13339359 15764697 19267963 21828042 26678718 31529394 38535926 40018077 47294091 57803889 80036154 94588182 115607778 120054231 141882273 173411667 240108462 283764546 346823334 520235001 1040470002 1560705003 3121410006