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1002221130112 = 2723616838171
BaseRepresentation
bin11101001010110010000…
…10001101000110000000
310112210220111212112012021
432211121002031012000
5112410022102130422
62044225233011224
7132256655022016
oct16453102150600
93483814775167
101002221130112
11357048777914
121422a19b3b14
13736804b7b07
14367174248b6
151b10b758dc7
hexe95908d180

1002221130112 has 128 divisors (see below), whose sum is σ = 2120936037120. Its totient is φ = 470717491200.

The previous prime is 1002221130107. The next prime is 1002221130137. The reversal of 1002221130112 is 2110311222001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 122651787 + ... + 122659957.

It is an arithmetic number, because the mean of its divisors is an integer number (16569812790).

Almost surely, 21002221130112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002221130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060468018560).

1002221130112 is an abundant number, since it is smaller than the sum of its proper divisors (1118714907008).

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

1002221130112 is an equidigital number, since it uses as much as digits as its factorization.

1002221130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8952 (or 8940 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1002221130112 its reverse (2110311222001), we get a palindrome (3112532352113).

The spelling of 1002221130112 in words is "one trillion, two billion, two hundred twenty-one million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 61 64 92 122 128 184 244 368 488 683 736 976 1366 1403 1472 1952 2732 2806 2944 3904 5464 5612 7808 8171 10928 11224 15709 16342 21856 22448 31418 32684 41663 43712 44896 62836 65368 83326 87424 89792 125672 130736 166652 179584 187933 251344 261472 333304 375866 498431 502688 522944 666608 751732 958249 996862 1005376 1045888 1333216 1503464 1916498 1993724 2010752 2666432 3006928 3832996 3987448 5332864 5580793 6013856 7665992 7974896 11161586 11463913 12027712 15331984 15949792 22323172 22927826 24055424 30663968 31899584 44646344 45855652 61327936 63799168 89292688 91711304 122655872 128358239 178585376 183422608 256716478 340428373 357170752 366845216 513432956 680856746 714341504 733690432 1026865912 1361713492 1467380864 2053731824 2723426984 4107463648 5446853968 7829852579 8214927296 10893707936 15659705158 16429854592 21787415872 31319410316 43574831744 62638820632 125277641264 250555282528 501110565056 1002221130112