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1000122331144 = 232960725912741
BaseRepresentation
bin11101000110110111110…
…11111011000000001000
310112121111020121111021011
432203123323323000020
5112341222304044034
62043241100253304
7132153651356416
oct16433373730010
93477436544234
101000122331144
11356170a8a112
121419b6b41234
137340772a831
14365987ac2b6
151b03737c864
hexe8dbefb008

1000122331144 has 64 divisors (see below), whose sum is σ = 1944547430400. Its totient is φ = 481660435200.

The previous prime is 1000122331073. The next prime is 1000122331177. The reversal of 1000122331144 is 4411332210001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364873614 + ... + 364876354.

It is an arithmetic number, because the mean of its divisors is an integer number (30383553600).

Almost surely, 21000122331144 is an apocalyptic number.

It is an amenable number.

1000122331144 is a deficient number, since it is larger than the sum of its proper divisors (944425099256).

1000122331144 is a wasteful number, since it uses less digits than its factorization.

1000122331144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1000122331144 its reverse (4411332210001), we get a palindrome (5411454541145).

The spelling of 1000122331144 in words is "one trillion, one hundred twenty-two million, three hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 29 58 116 232 607 1214 2428 2591 2741 4856 5182 5482 10364 10964 17603 20728 21928 35206 70412 75139 79489 140824 150278 158978 300556 317956 601112 635912 1572737 1663787 3145474 3327574 6290948 6655148 7101931 12581896 13310296 14203862 28407724 45609373 48249823 56815448 91218746 96499646 182437492 192999292 205955999 364874984 385998584 411911998 823823996 1647647992 4310872117 8621744234 17243488468 34486976936 125015291393 250030582786 500061165572 1000122331144