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121145832 = 23321682581
BaseRepresentation
bin1110011100010…
…00100111101000
322102221211211200
413032020213220
5222003131312
620004324200
73000502563
oct716104750
9272854750
10121145832
1162424725
12346a3660
131c138632
14121374da
15a9800dc
hex73889e8

121145832 has 24 divisors (see below), whose sum is σ = 328103490. Its totient is φ = 40381920.

The previous prime is 121145813. The next prime is 121145833. The reversal of 121145832 is 238541121.

It can be written as a sum of positive squares in only one way, i.e., 101485476 + 19660356 = 10074^2 + 4434^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×1211458323 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 121145796 and 121145805.

It is not an unprimeable number, because it can be changed into a prime (121145833) 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 5 ways as a sum of consecutive naturals, for example, 841219 + ... + 841362.

Almost surely, 2121145832 is an apocalyptic number.

121145832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121145832 is an abundant number, since it is smaller than the sum of its proper divisors (206957658).

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

121145832 is a wasteful number, since it uses less digits than its factorization.

121145832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682593 (or 1682586 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 121145832 is about 11006.6267312015. The cubic root of 121145832 is about 494.8073691852.

Adding to 121145832 its reverse (238541121), we get a palindrome (359686953).

The spelling of 121145832 in words is "one hundred twenty-one million, one hundred forty-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1682581 3365162 5047743 6730324 10095486 13460648 15143229 20190972 30286458 40381944 60572916 121145832