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121131311213031 = 3723973946377043
BaseRepresentation
bin11011100010101100010100…
…110001101010100111100111
3120212220001002100102020011220
4123202230110301222213213
5111334103411132304111
61105342542310231423
734341306545632110
oct3342542461524747
9525801070366156
10121131311213031
1135661556324a69
1211704087055573
13527883112ca22
1421cab02b81207
15e00d83dd7e06
hex6e2b14c6a9e7

121131311213031 has 64 divisors (see below), whose sum is σ = 185670553190400. Its totient is φ = 68810388990336.

The previous prime is 121131311212949. The next prime is 121131311213111. The reversal of 121131311213031 is 130312113131121.

It is not a de Polignac number, because 121131311213031 - 222 = 121131307018727 is a prime.

It is a super-2 number, since 2×1211313112130312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121131311212992 and 121131311213010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121131311223031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17198819596 + ... + 17198826638.

It is an arithmetic number, because the mean of its divisors is an integer number (2901102393600).

Almost surely, 2121131311213031 is an apocalyptic number.

121131311213031 is a deficient number, since it is larger than the sum of its proper divisors (64539241977369).

121131311213031 is a wasteful number, since it uses less digits than its factorization.

121131311213031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12668.

The product of its (nonzero) digits is 324, while the sum is 24.

Adding to 121131311213031 its reverse (130312113131121), we get a palindrome (251443424344152).

The spelling of 121131311213031 in words is "one hundred twenty-one trillion, one hundred thirty-one billion, three hundred eleven million, two hundred thirteen thousand, thirty-one".

Divisors: 1 3 7 21 239 717 739 1673 2217 4637 5019 5173 7043 13911 15519 21129 32459 49301 97377 147903 176621 529863 1108243 1236347 1683277 3324729 3426743 3709041 5049831 5204777 7757701 10280229 11782939 15614331 23273103 23987201 32658391 35348817 36433439 71961603 97975173 109300317 228608737 685826211 818991577 1243941703 2456974731 3731825109 5732941039 7805355449 8707591921 17198823117 23416066347 24134550949 26122775763 54637488143 72403652847 163912464429 168941856643 506825569929 5768157676811 17304473030433 40377103737677 121131311213031