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1023110140 = 225132924679
BaseRepresentation
bin111100111110110…
…110101111111100
32122022011101021011
4330332312233330
54043404011030
6245304445004
734232202253
oct7476665774
92568141234
101023110140
11485578878
12246779764
13133c6c120
1499c4579a
155ec48b2a
hex3cfb6bfc

1023110140 has 72 divisors (see below), whose sum is σ = 2396852640. Its totient is φ = 364659456.

The previous prime is 1023110113. The next prime is 1023110141. The reversal of 1023110140 is 410113201.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1023110140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023110141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216321 + ... + 220999.

It is an arithmetic number, because the mean of its divisors is an integer number (33289620).

Almost surely, 21023110140 is an apocalyptic number.

1023110140 is a gapful number since it is divisible by the number (10) 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 1023110140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198426320).

1023110140 is an abundant number, since it is smaller than the sum of its proper divisors (1373742500).

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

1023110140 is a wasteful number, since it uses less digits than its factorization.

1023110140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4759 (or 4728 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1023110140 is about 31986.0929155156. The cubic root of 1023110140 is about 1007.6447882845.

Adding to 1023110140 its reverse (410113201), we get a palindrome (1433223341).

The spelling of 1023110140 in words is "one billion, twenty-three million, one hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 841 1508 1682 1885 3364 3770 4205 4679 7540 8410 9358 10933 16820 18716 21866 23395 43732 46790 54665 60827 93580 109330 121654 135691 218660 243308 271382 304135 542764 608270 678455 1216540 1356910 1763983 2713820 3527966 3935039 7055932 7870078 8819915 15740156 17639830 19675195 35279660 39350390 51155507 78700780 102311014 204622028 255777535 511555070 1023110140