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1022111442 = 2321121134153
BaseRepresentation
bin111100111011000…
…010111011010010
32122020021122022100
4330323002323102
54043130031232
6245231221230
734220542512
oct7473027322
92566248270
101022111442
11484a56500
12246377816
131339ac691
1499a65842
155eaecc7c
hex3cec2ed2

1022111442 has 72 divisors (see below), whose sum is σ = 2456334972. Its totient is φ = 306915840.

The previous prime is 1022111429. The next prime is 1022111443. The reversal of 1022111442 is 2441112201.

1022111442 is a `hidden beast` number, since 1 + 0 + 221 + 1 + 1 + 442 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 633982041 + 388129401 = 25179^2 + 19701^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1022111443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244038 + ... + 248190.

Almost surely, 21022111442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022111442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228167486).

1022111442 is an abundant number, since it is smaller than the sum of its proper divisors (1434223530).

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

1022111442 is a wasteful number, since it uses less digits than its factorization.

1022111442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1022111442 is about 31970.4776629940. The cubic root of 1022111442 is about 1007.3168143244.

Adding to 1022111442 its reverse (2441112201), we get a palindrome (3463223643).

The spelling of 1022111442 in words is "one billion, twenty-two million, one hundred eleven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 113 121 198 226 242 339 363 678 726 1017 1089 1243 2034 2178 2486 3729 4153 7458 8306 11187 12459 13673 22374 24918 27346 37377 41019 45683 74754 82038 91366 123057 137049 246114 274098 411147 469289 502513 822294 938578 1005026 1407867 1507539 2815734 3015078 4223601 4522617 5162179 8447202 9045234 10324358 15486537 30973074 46459611 56783969 92919222 113567938 170351907 340703814 511055721 1022111442