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1001211120992 = 25233241341969
BaseRepresentation
bin11101001000111001101…
…01010100110101100000
310112201022010100202011002
432210130311110311200
5112400440021332432
62043541113011132
7132222642053015
oct16443465246540
93481263322132
101001211120992
1135667a638035
1214205b6b3aa8
137354c184b94
143665d22d70c
151b09cc4be62
hexe91cd54d60

1001211120992 has 48 divisors (see below), whose sum is σ = 2056948356960. Its totient is φ = 478813919232.

The previous prime is 1001211120979. The next prime is 1001211120997. The reversal of 1001211120992 is 2990211121001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001211120997) 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 7 ways as a sum of consecutive naturals, for example, 23834984 + ... + 23876952.

It is an arithmetic number, because the mean of its divisors is an integer number (42853090770).

Almost surely, 21001211120992 is an apocalyptic number.

It is an amenable number.

1001211120992 is an abundant number, since it is smaller than the sum of its proper divisors (1055737235968).

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

1001211120992 is a wasteful number, since it uses less digits than its factorization.

1001211120992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74415 (or 74407 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 29.

Adding to 1001211120992 its reverse (2990211121001), we get a palindrome (3991422241993).

The spelling of 1001211120992 in words is "one trillion, one billion, two hundred eleven million, one hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 32413 41969 64826 83938 129652 167876 259304 335752 518608 671504 745499 965287 1037216 1343008 1490998 1930574 2981996 3861148 5963992 7722296 11927984 15444592 23855968 30889184 1360341197 2720682394 5441364788 10882729576 21765459152 31287847531 43530918304 62575695062 125151390124 250302780248 500605560496 1001211120992