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1022145102 = 2331110915787
BaseRepresentation
bin111100111011001…
…011001001001110
32122020100100111000
4330323023021032
54043132120402
6245232041130
734221042606
oct7473131116
92566310430
101022145102
11484a79820
122463931a6
131339c1ab4
1499a73c06
155eb07c1c
hex3cecb24e

1022145102 has 64 divisors (see below), whose sum is σ = 2500819200. Its totient is φ = 306879840.

The previous prime is 1022145101. The next prime is 1022145133. The reversal of 1022145102 is 2015412201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022145101) 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 31 ways as a sum of consecutive naturals, for example, 56853 + ... + 72639.

It is an arithmetic number, because the mean of its divisors is an integer number (39075300).

Almost surely, 21022145102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022145102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250409600).

1022145102 is an abundant number, since it is smaller than the sum of its proper divisors (1478674098).

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

1022145102 is a wasteful number, since it uses less digits than its factorization.

1022145102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15918 (or 15912 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1022145102 is about 31971.0040818239. The cubic root of 1022145102 is about 1007.3278717983.

Adding to 1022145102 its reverse (2015412201), we get a palindrome (3037557303).

The spelling of 1022145102 in words is "one billion, twenty-two million, one hundred forty-five thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 109 198 218 297 327 594 654 981 1199 1962 2398 2943 3597 5886 7194 10791 15787 21582 31574 32373 47361 64746 94722 142083 173657 284166 347314 426249 520971 852498 1041942 1562913 1720783 3125826 3441566 4688739 5162349 9377478 10324698 15487047 18928613 30974094 37857226 46461141 56785839 92922282 113571678 170357517 340715034 511072551 1022145102