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1070999381881 = 11213272372
BaseRepresentation
bin11111001010111001000…
…10011010011101111001
310210101102210021201120101
433211130202122131321
5120021401320210011
62140002121355401
7140243235353332
oct17453442323571
93711383251511
101070999381881
11383232259400
12153697638b61
1379cc1794c00
1439b9da89289
151ccd49852c1
hexf95c89a779

1070999381881 has 27 divisors (see below), whose sum is σ = 1274911064973. Its totient is φ = 898616553120.

The previous prime is 1070999381849. The next prime is 1070999381939. The reversal of 1070999381881 is 1881839990701.

It is a happy number.

The square root of 1070999381881 is 1034891.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 53967471481 + 1017031910400 = 232309^2 + 1008480^2 .

It is not a de Polignac number, because 1070999381881 - 25 = 1070999381849 is a prime.

It is a super-2 number, since 2×10709993818812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1070999381821) 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 26 ways as a sum of consecutive naturals, for example, 147985795 + ... + 147993031.

Almost surely, 21070999381881 is an apocalyptic number.

1070999381881 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1070999381881 is the 1034891-st square number.

1070999381881 is the 517446-th centered octagonal number.

It is an amenable number.

1070999381881 is a deficient number, since it is larger than the sum of its proper divisors (203911683092).

1070999381881 is an frugal number, since it uses more digits than its factorization.

1070999381881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14522 (or 7261 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 64.

Multiplying 1070999381881 by its sum of digits (64), we get a square (68543960440384 = 82791282).

The spelling of 1070999381881 in words is "one trillion, seventy billion, nine hundred ninety-nine million, three hundred eighty-one thousand, eight hundred eighty-one".

Divisors: 1 11 13 121 143 169 1573 1859 7237 20449 79607 94081 875677 1034891 1223053 11383801 13453583 52374169 147989413 576115859 680864197 6337274449 7489506167 8851234561 82384567837 97363580171 1070999381881