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1022012112 = 243112278527
BaseRepresentation
bin111100111010101…
…010101011010000
32122020002121001110
4330322222223100
54043113341422
6245225133320
734216650102
oct7472525320
92566077043
101022012112
11484998910
1224632a240
131339763c4
1499a3b572
155eacd60c
hex3ceaaad0

1022012112 has 80 divisors (see below), whose sum is σ = 2893243392. Its totient is φ = 308300160.

The previous prime is 1022012059. The next prime is 1022012129. The reversal of 1022012112 is 2112102201.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 115593 + ... + 124119.

Almost surely, 21022012112 is an apocalyptic number.

1022012112 is a gapful number since it is divisible by the number (12) 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 1022012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446621696).

1022012112 is an abundant number, since it is smaller than the sum of its proper divisors (1871231280).

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

1022012112 is a wasteful number, since it uses less digits than its factorization.

1022012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8776 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1022012112 is about 31968.9241608159. The cubic root of 1022012112 is about 1007.2841825204.

Adding to 1022012112 its reverse (2112102201), we get a palindrome (3134114313).

It can be divided in two parts, 102201 and 2112, that multiplied together give a palindrome (215848512).

The spelling of 1022012112 in words is "one billion, twenty-two million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 227 264 454 528 681 908 1362 1816 2497 2724 3632 4994 5448 7491 8527 9988 10896 14982 17054 19976 25581 29964 34108 39952 51162 59928 68216 93797 102324 119856 136432 187594 204648 281391 375188 409296 562782 750376 1125564 1500752 1935629 2251128 3871258 4502256 5806887 7742516 11613774 15485032 21291919 23227548 30970064 42583838 46455096 63875757 85167676 92910192 127751514 170335352 255503028 340670704 511006056 1022012112