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121863042 = 2357113317
BaseRepresentation
bin1110100001101…
…11101110000010
322111022021200000
413100313232002
5222144104132
620031540430
73006550560
oct720675602
9274267600
10121863042
1162874564
123498a716
131c329c12
1412282a30
15aa7287c
hex7437b82

121863042 has 96 divisors (see below), whose sum is σ = 316697472. Its totient is φ = 34401024.

The previous prime is 121863041. The next prime is 121863043. The reversal of 121863042 is 240368121.

121863042 is a `hidden beast` number, since 1 + 21 + 8 + 630 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (121863041) and next prime (121863043).

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 = 121862997 and 121863015.

It is not an unprimeable number, because it can be changed into a prime (121863041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384268 + ... + 384584.

It is an arithmetic number, because the mean of its divisors is an integer number (3298932).

Almost surely, 2121863042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121863042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158348736).

121863042 is an abundant number, since it is smaller than the sum of its proper divisors (194834430).

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

121863042 is a wasteful number, since it uses less digits than its factorization.

121863042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 121863042 is about 11039.1594788734. The cubic root of 121863042 is about 495.7819047445.

The spelling of 121863042 in words is "one hundred twenty-one million, eight hundred sixty-three thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 113 126 162 189 226 243 317 339 378 486 567 634 678 791 951 1017 1134 1582 1701 1902 2034 2219 2373 2853 3051 3402 4438 4746 5706 6102 6657 7119 8559 9153 13314 14238 17118 18306 19971 21357 25677 27459 35821 39942 42714 51354 54918 59913 64071 71642 77031 107463 119826 128142 154062 179739 192213 214926 250747 322389 359478 384426 501494 539217 644778 752241 967167 1078434 1504482 1934334 2256723 2901501 4513446 5803002 6770169 8704503 13540338 17409006 20310507 40621014 60931521 121863042