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1021023144 = 23341575653
BaseRepresentation
bin111100110110111…
…001001110101000
32122011020100110000
4330312321032220
54042340220034
6245152023000
734205360601
oct7466711650
92564210400
101021023144
11484382889
12245b31a60
131336bb20b
1499860da8
155e985599
hex3cdb93a8

1021023144 has 40 divisors (see below), whose sum is σ = 2859812010. Its totient is φ = 340340832.

The previous prime is 1021023131. The next prime is 1021023149. The reversal of 1021023144 is 4413201201.

It can be written as a sum of positive squares in only one way, i.e., 737774244 + 283248900 = 27162^2 + 16830^2 .

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 (1021023149) 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 9 ways as a sum of consecutive naturals, for example, 787179 + ... + 788474.

Almost surely, 21021023144 is an apocalyptic number.

It is an amenable number.

1021023144 is an abundant number, since it is smaller than the sum of its proper divisors (1838788866).

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

1021023144 is a wasteful number, since it uses less digits than its factorization.

1021023144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575671 (or 1575658 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1021023144 is about 31953.4527711795. The cubic root of 1021023144 is about 1006.9591722439.

Adding to 1021023144 its reverse (4413201201), we get a palindrome (5434224345).

The spelling of 1021023144 in words is "one billion, twenty-one million, twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1575653 3151306 4726959 6302612 9453918 12605224 14180877 18907836 28361754 37815672 42542631 56723508 85085262 113447016 127627893 170170524 255255786 340341048 510511572 1021023144