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121936941 = 3372374753
BaseRepresentation
bin1110100010010…
…01110000101101
322111110001001000
413101021300231
5222203440231
620033310513
73010306200
oct721116055
9274401030
10121936941
1162915035
1234a05439
131c354749
14122a1937
15aa896e6
hex7449c2d

121936941 has 96 divisors (see below), whose sum is σ = 224570880. Its totient is φ = 65100672.

The previous prime is 121936939. The next prime is 121936943. The reversal of 121936941 is 149639121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121936939) and next prime (121936943).

It is not a de Polignac number, because 121936941 - 21 = 121936939 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121936896 and 121936905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121936943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2300671 + ... + 2300723.

It is an arithmetic number, because the mean of its divisors is an integer number (2339280).

Almost surely, 2121936941 is an apocalyptic number.

It is an amenable number.

121936941 is a deficient number, since it is larger than the sum of its proper divisors (102633939).

121936941 is a wasteful number, since it uses less digits than its factorization.

121936941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 121936941 is about 11042.5061014246. The cubic root of 121936941 is about 495.8821002400.

The spelling of 121936941 in words is "one hundred twenty-one million, nine hundred thirty-six thousand, nine hundred forty-one".

Divisors: 1 3 7 9 21 27 37 47 49 53 63 111 141 147 159 189 259 329 333 371 423 441 477 777 987 999 1113 1269 1323 1431 1739 1813 1961 2303 2331 2491 2597 2961 3339 5217 5439 5883 6909 6993 7473 7791 8883 10017 12173 13727 15651 16317 17437 17649 20727 22419 23373 36519 41181 46953 48951 52311 52947 62181 67257 70119 85211 92167 96089 109557 122059 123543 156933 255633 276501 288267 328671 366177 370629 470799 645169 766899 829503 864801 1098531 1935507 2300697 2488509 2594403 3295593 4516183 5806521 13548549 17419563 40645647 121936941