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10042422011001 = 3310112728996769
BaseRepresentation
bin1001001000100010111011…
…1111110010010001111001
31022120001020122201200211000
42102020232333302101321
52304013340013323001
633205231443555213
72054353402444542
oct222105677622171
938501218650730
1010042422011001
113221a70468846
12116235698bb09
1357acc4c32293
1426a0ad2494c9
1512635e39ca86
hex9222eff2479

10042422011001 has 32 divisors (see below), whose sum is σ = 15143273164800. Its totient is φ = 6576466982400.

The previous prime is 10042422010987. The next prime is 10042422011003. The reversal of 10042422011001 is 10011022424001.

10042422011001 is a `hidden beast` number, since 10 + 0 + 424 + 220 + 1 + 10 + 0 + 1 = 666.

It is not a de Polignac number, because 10042422011001 - 233 = 10033832076409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10042422011003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14152056 + ... + 14844713.

It is an arithmetic number, because the mean of its divisors is an integer number (473227286400).

Almost surely, 210042422011001 is an apocalyptic number.

It is an amenable number.

10042422011001 is a deficient number, since it is larger than the sum of its proper divisors (5100851153799).

10042422011001 is a wasteful number, since it uses less digits than its factorization.

10042422011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28997006 (or 28997000 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10042422011001 its reverse (10011022424001), we get a palindrome (20053444435002).

The spelling of 10042422011001 in words is "ten trillion, forty-two billion, four hundred twenty-two million, eleven thousand, one".

Divisors: 1 3 9 27 101 127 303 381 909 1143 2727 3429 12827 38481 115443 346329 28996769 86990307 260970921 782912763 2928673669 3682589663 8786021007 11047768989 26358063021 33143306967 79074189063 99429920901 371941555963 1115824667889 3347474003667 10042422011001