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1022112096 = 25361347503
BaseRepresentation
bin111100111011000…
…011000101100000
32122020021200012120
4330323003011200
54043130041341
6245231224240
734220544435
oct7473030540
92566250176
101022112096
11484a56a45
12246378080
131339aca75
1499a65b8c
155eaed066
hex3cec3160

1022112096 has 96 divisors (see below), whose sum is σ = 2740324608. Its totient is φ = 333488640.

The previous prime is 1022112061. The next prime is 1022112103. The reversal of 1022112096 is 6902112201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2031781 + ... + 2032283.

It is an arithmetic number, because the mean of its divisors is an integer number (28545048).

Almost surely, 21022112096 is an apocalyptic number.

1022112096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022112096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370162304).

1022112096 is an abundant number, since it is smaller than the sum of its proper divisors (1718212512).

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

1022112096 is a wasteful number, since it uses less digits than its factorization.

1022112096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1022112096 is about 31970.4878911786. The cubic root of 1022112096 is about 1007.3170291689.

Adding to 1022112096 its reverse (6902112201), we get a palindrome (7924224297).

The spelling of 1022112096 in words is "one billion, twenty-two million, one hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 347 366 488 503 694 732 976 1006 1041 1388 1464 1509 1952 2012 2082 2776 2928 3018 4024 4164 5552 5856 6036 8048 8328 11104 12072 16096 16656 21167 24144 30683 33312 42334 48288 61366 63501 84668 92049 122732 127002 169336 174541 184098 245464 254004 338672 349082 368196 490928 508008 523623 677344 698164 736392 981856 1016016 1047246 1396328 1472784 2032032 2094492 2792656 2945568 4188984 5585312 8377968 10647001 16755936 21294002 31941003 42588004 63882006 85176008 127764012 170352016 255528024 340704032 511056048 1022112096