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121629141 = 3315129833
BaseRepresentation
bin1110011111111…
…10100111010101
322110212101211000
413033332213111
5222114113031
620022533513
73004554624
oct717764725
9273771730
10121629141
1162724857
1234897299
131c27760a
14122216bb
15aa283e6
hex73fe9d5

121629141 has 16 divisors (see below), whose sum is σ = 181390720. Its totient is φ = 80546400.

The previous prime is 121629119. The next prime is 121629163. The reversal of 121629141 is 141926121.

121629141 is a `hidden beast` number, since 1 + 21 + 629 + 14 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (121629119) and next prime (121629163).

It is not a de Polignac number, because 121629141 - 215 = 121596373 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121629191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10840 + ... + 18993.

It is an arithmetic number, because the mean of its divisors is an integer number (11336920).

Almost surely, 2121629141 is an apocalyptic number.

It is an amenable number.

121629141 is a deficient number, since it is larger than the sum of its proper divisors (59761579).

121629141 is a wasteful number, since it uses less digits than its factorization.

121629141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29993 (or 29987 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 121629141 is about 11028.5602414821. The cubic root of 121629141 is about 495.4645042885.

The spelling of 121629141 in words is "one hundred twenty-one million, six hundred twenty-nine thousand, one hundred forty-one".

Divisors: 1 3 9 27 151 453 1359 4077 29833 89499 268497 805491 4504783 13514349 40543047 121629141