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993251021 = 72237112413
BaseRepresentation
bin111011001100111…
…100111011001101
32120012222101020212
4323030330323031
54013233013041
6242320452205
733420331400
oct7314747315
92505871225
10993251021
1146a734214
1223877a065
1312aa162c9
1495cb1d37
155c2eb8eb
hex3b33cecd

993251021 has 24 divisors (see below), whose sum is σ = 1222729344. Its totient is φ = 802808160.

The previous prime is 993251003. The next prime is 993251029. The reversal of 993251021 is 120152399.

It is not a de Polignac number, because 993251021 - 210 = 993249997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993251029) 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 23 ways as a sum of consecutive naturals, for example, 73811 + ... + 86223.

It is an arithmetic number, because the mean of its divisors is an integer number (50947056).

Almost surely, 2993251021 is an apocalyptic number.

It is an amenable number.

993251021 is a deficient number, since it is larger than the sum of its proper divisors (229478323).

993251021 is a wasteful number, since it uses less digits than its factorization.

993251021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12521 (or 12514 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 993251021 is about 31515.8852168236. The cubic root of 993251021 is about 997.7452603032.

The spelling of 993251021 in words is "nine hundred ninety-three million, two hundred fifty-one thousand, twenty-one".

Divisors: 1 7 23 49 71 161 497 1127 1633 3479 11431 12413 80017 86891 285499 608237 881323 1998493 6169261 13989451 20270429 43184827 141893003 993251021