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121141130131034 = 213291399157126227
BaseRepresentation
bin11011100010110101011110…
…000001110111011001011010
3120212220222102122102221111122
4123202311132001313121122
5111334234013303143114
61105351244503525242
734342105064231156
oct3342653601673132
9525828378387448
10121141130131034
11356657348a8432
1211705b67459822
135279737457990
1421cb394c48066
15e0125ae26e8e
hex6e2d5e07765a

121141130131034 has 64 divisors (see below), whose sum is σ = 203917698633600. Its totient is φ = 53588668670208.

The previous prime is 121141130131019. The next prime is 121141130131039. The reversal of 121141130131034 is 430131031141121.

It is a happy number.

It is a super-3 number, since 3×1211411301310343 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 121141130130994 and 121141130131012.

It is not an unprimeable number, because it can be changed into a prime (121141130131039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 959645429 + ... + 959771655.

It is an arithmetic number, because the mean of its divisors is an integer number (3186214041150).

Almost surely, 2121141130131034 is an apocalyptic number.

121141130131034 is a deficient number, since it is larger than the sum of its proper divisors (82776568502566).

121141130131034 is a wasteful number, since it uses less digits than its factorization.

121141130131034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135567.

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 121141130131034 its reverse (430131031141121), we get a palindrome (551272161272155).

The spelling of 121141130131034 in words is "one hundred twenty-one trillion, one hundred forty-one billion, one hundred thirty million, one hundred thirty-one thousand, thirty-four".

Divisors: 1 2 13 26 29 58 139 278 377 754 1807 3614 4031 8062 9157 18314 52403 104806 119041 126227 238082 252454 265553 531106 1272823 1640951 2545646 3281902 3452189 3660583 6904378 7321166 16546699 17545553 33093398 35091106 36911867 47587579 73823734 95175158 228092189 456184378 479854271 508821037 959708542 1017642074 1155860639 2311721278 6614673481 13229346962 15026188307 30052376614 33519958531 67039917062 160664628821 321329257642 435759460903 871518921806 2088640174673 4177280349346 4659274235809 9318548471618 60570565065517 121141130131034