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112001021001 = 33171943298667
BaseRepresentation
bin110100001001111000…
…1111111010001001001
3101201002112200101011000
41220103301333101021
53313334230133001
6123241430325213
711043326653632
oct1502361772111
9351075611130
10112001021001
1143554724881
1219858ab9809
13a73bc40bbc
1455c6c66889
152da7b0ca86
hex1a13c7f449

112001021001 has 64 divisors (see below), whose sum is σ = 189236044800. Its totient is φ = 65027950848.

The previous prime is 112001020949. The next prime is 112001021023. The reversal of 112001021001 is 100120100211.

It is a happy number.

It is not a de Polignac number, because 112001021001 - 211 = 112001018953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (112001021081) 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 63 ways as a sum of consecutive naturals, for example, 225670 + ... + 524336.

It is an arithmetic number, because the mean of its divisors is an integer number (2956813200).

Almost surely, 2112001021001 is an apocalyptic number.

It is an amenable number.

112001021001 is a deficient number, since it is larger than the sum of its proper divisors (77235023799).

112001021001 is a wasteful number, since it uses less digits than its factorization.

112001021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298755 (or 298749 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112001021001 its reverse (100120100211), we get a palindrome (212121121212).

The spelling of 112001021001 in words is "one hundred twelve billion, one million, twenty-one thousand, one".

Divisors: 1 3 9 17 19 27 43 51 57 129 153 171 323 387 459 513 731 817 969 1161 2193 2451 2907 6579 7353 8721 13889 19737 22059 41667 125001 298667 375003 896001 2688003 5077339 5674673 8064009 12842681 15232017 17024019 38528043 45696051 51072057 96469441 115584129 137088153 153216171 218325577 244010939 289408323 346752387 654976731 732032817 868224969 1964930193 2196098451 2604674907 4148185963 5894790579 6588295353 12444557889 37333673667 112001021001