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121141293 = 37133767179
BaseRepresentation
bin1110011100001…
…11100000101101
322102221121121120
413032013200231
5222003010133
620004251153
73000453420
oct716074055
9272847546
10121141293
1162421279
12346a0ab9
131c136550
14121359b7
15a97dab3
hex738782d

121141293 has 64 divisors (see below), whose sum is σ = 208373760. Its totient is φ = 60901632.

The previous prime is 121141271. The next prime is 121141297. The reversal of 121141293 is 392141121.

It is not a de Polignac number, because 121141293 - 28 = 121141037 is a prime.

It is a super-3 number, since 3×1211412933 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121141297) 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, 676678 + ... + 676856.

It is an arithmetic number, because the mean of its divisors is an integer number (3255840).

Almost surely, 2121141293 is an apocalyptic number.

121141293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121141293 is a deficient number, since it is larger than the sum of its proper divisors (87232467).

121141293 is a wasteful number, since it uses less digits than its factorization.

121141293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306.

The product of its digits is 432, while the sum is 24.

The square root of 121141293 is about 11006.4205353057. The cubic root of 121141293 is about 494.8011894191.

The spelling of 121141293 in words is "one hundred twenty-one million, one hundred forty-one thousand, two hundred ninety-three".

Divisors: 1 3 7 13 21 37 39 67 91 111 179 201 259 273 469 481 537 777 871 1253 1407 1443 2327 2479 2613 3367 3759 6097 6623 6981 7437 10101 11993 16289 17353 18291 19869 32227 35979 46361 48867 52059 83951 86099 96681 139083 155909 225589 251853 258297 443741 467727 602693 676767 1091363 1331223 1808079 3106187 3274089 5768633 9318561 17305899 40380431 121141293