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121525230042 = 23423283115249
BaseRepresentation
bin111000100101101110…
…1111101100111011010
3102121200022011022210000
41301023131331213122
53442340424330132
6131454455233430
711531336261136
oct1611335754732
9377608138700
10121525230042
11475a1908017
121b676678876
13b5c91a1458
145c4bb363c6
153263d3587c
hex1c4b77d9da

121525230042 has 80 divisors (see below), whose sum is σ = 285152472000. Its totient is φ = 38609923968.

The previous prime is 121525230023. The next prime is 121525230053. The reversal of 121525230042 is 240032525121.

It is a super-2 number, since 2×1215252300422 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 121525229988 and 121525230015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 996834 + ... + 1112082.

It is an arithmetic number, because the mean of its divisors is an integer number (3564405900).

Almost surely, 2121525230042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121525230042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142576236000).

121525230042 is an abundant number, since it is smaller than the sum of its proper divisors (163627241958).

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

121525230042 is a wasteful number, since it uses less digits than its factorization.

121525230042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115569 (or 115560 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 121525230042 its reverse (240032525121), we get a palindrome (361557755163).

The spelling of 121525230042 in words is "one hundred twenty-one billion, five hundred twenty-five million, two hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 283 414 566 621 849 1242 1698 1863 2547 3726 5094 6509 7641 13018 15282 19527 22923 39054 45846 58581 115249 117162 175743 230498 345747 351486 527229 691494 1037241 1054458 2074482 2650727 3111723 5301454 6223446 7952181 9335169 15904362 18670338 23856543 32615467 47713086 65230934 71569629 97846401 143139258 195692802 214708887 293539203 429417774 587078406 750155741 880617609 1500311482 1761235218 2250467223 2641852827 4500934446 5283705654 6751401669 13502803338 20254205007 40508410014 60762615021 121525230042