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121399362 = 23274532
BaseRepresentation
bin1110011110001…
…10100001000010
322110102201121200
413033012201002
5222034234422
620014002030
73002610000
oct717064102
9273381550
10121399362
1162588157
12347a6316
131c1c6b56
14121a1a70
15a9d02ac
hex73c6842

121399362 has 90 divisors (see below), whose sum is σ = 312751257. Its totient is φ = 34031088.

The previous prime is 121399357. The next prime is 121399367. The reversal of 121399362 is 263993121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121399357) and next prime (121399367).

It can be written as a sum of positive squares in 2 ways, for example, as 115154361 + 6245001 = 10731^2 + 2499^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7791.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121399367) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2290528 + ... + 2290580.

Almost surely, 2121399362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121399362

121399362 is an abundant number, since it is smaller than the sum of its proper divisors (191351895).

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

121399362 is an frugal number, since it uses more digits than its factorization.

121399362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 65 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 121399362 is about 11018.1378644488. The cubic root of 121399362 is about 495.1523008551.

The spelling of 121399362 in words is "one hundred twenty-one million, three hundred ninety-nine thousand, three hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 53 63 98 106 126 147 159 294 318 343 371 441 477 686 742 882 954 1029 1113 2058 2226 2401 2597 2809 3087 3339 4802 5194 5618 6174 6678 7203 7791 8427 14406 15582 16854 18179 19663 21609 23373 25281 36358 39326 43218 46746 50562 54537 58989 109074 117978 127253 137641 163611 176967 254506 275282 327222 353934 381759 412923 763518 825846 963487 1145277 1238769 1926974 2290554 2477538 2890461 5780922 6744409 8671383 13488818 17342766 20233227 40466454 60699681 121399362