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121057002 = 232111514049
BaseRepresentation
bin1110011011100…
…10111011101010
322102210022222200
413031302323222
5221442311002
620002401030
72666652603
oct715627352
9272708880
10121057002
1162373a10
1234660176
131c107081
1412112daa
15a963b1c
hex7372eea

121057002 has 48 divisors (see below), whose sum is σ = 288100800. Its totient is φ = 36432000.

The previous prime is 121056989. The next prime is 121057009. The reversal of 121057002 is 200750121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121057009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27874 + ... + 31922.

It is an arithmetic number, because the mean of its divisors is an integer number (6002100).

Almost surely, 2121057002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121057002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144050400).

121057002 is an abundant number, since it is smaller than the sum of its proper divisors (167043798).

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

121057002 is a wasteful number, since it uses less digits than its factorization.

121057002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4219 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 121057002 is about 11002.5906949227. The cubic root of 121057002 is about 494.6864006927.

The spelling of 121057002 in words is "one hundred twenty-one million, fifty-seven thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 151 198 302 453 906 1359 1661 2718 3322 4049 4983 8098 9966 12147 14949 24294 29898 36441 44539 72882 89078 133617 267234 400851 611399 801702 1222798 1834197 3668394 5502591 6725389 11005182 13450778 20176167 40352334 60528501 121057002