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3140122102002 = 2327935352112007
BaseRepresentation
bin101101101100011101110…
…111001100100011110010
3102010012012111201120122200
4231230131313030203302
5402421432224231002
610402315134244030
7442603103320644
oct55543567144362
912105174646580
103140122102002
11100079a077966
124286b0656616
1319a15c7a37b2
14abda882a894
1556a36033b1c
hex2db1ddcc8f2

3140122102002 has 96 divisors (see below), whose sum is σ = 6923075028480. Its totient is φ = 1028466616320.

The previous prime is 3140122101973. The next prime is 3140122102021. The reversal of 3140122102002 is 2002012210413.

It is a happy number.

3140122102002 is a `hidden beast` number, since 31 + 401 + 2 + 210 + 20 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261518283 + ... + 261530289.

It is an arithmetic number, because the mean of its divisors is an integer number (72115364880).

Almost surely, 23140122102002 is an apocalyptic number.

3140122102002 is an abundant number, since it is smaller than the sum of its proper divisors (3782952926478).

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

3140122102002 is a wasteful number, since it uses less digits than its factorization.

3140122102002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12968 (or 12965 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 3140122102002 its reverse (2002012210413), we get a palindrome (5142134312415).

The spelling of 3140122102002 in words is "three trillion, one hundred forty billion, one hundred twenty-two million, one hundred two thousand, two".

Divisors: 1 2 3 6 9 18 79 158 237 353 474 521 706 711 1042 1059 1422 1563 2118 3126 3177 4689 6354 9378 12007 24014 27887 36021 41159 55774 72042 82318 83661 108063 123477 167322 183913 216126 246954 250983 367826 370431 501966 551739 740862 948553 1103478 1655217 1897106 2845659 3310434 4238471 5691318 6255647 8476942 8536977 12511294 12715413 14529127 17073954 18766941 25430826 29058254 37533882 38146239 43587381 56300823 76292478 87174762 112601646 130762143 261524286 334839209 494196113 669678418 988392226 1004517627 1482588339 2009035254 2208243391 2965176678 3013552881 4416486782 4447765017 6027105762 6624730173 8895530034 13249460346 19874190519 39748381038 174451227889 348902455778 523353683667 1046707367334 1570061051001 3140122102002