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1023335130 = 23553751857
BaseRepresentation
bin111100111111101…
…101101011011010
32122022120210220010
4330333231223122
54043433211010
6245313342350
734234130226
oct7477555332
92568523803
101023335130
11485711914
122468679b6
1313401a65c
1499ca3786
155ec90620
hex3cfedada

1023335130 has 64 divisors (see below), whose sum is σ = 2508599808. Its totient is φ = 267072000.

The previous prime is 1023335123. The next prime is 1023335147. The reversal of 1023335130 is 315333201.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1023335097 and 1023335106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1193662 + ... + 1194518.

It is an arithmetic number, because the mean of its divisors is an integer number (39196872).

Almost surely, 21023335130 is an apocalyptic number.

1023335130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023335130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254299904).

1023335130 is an abundant number, since it is smaller than the sum of its proper divisors (1485264678).

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

1023335130 is a wasteful number, since it uses less digits than its factorization.

1023335130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671.

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 1023335130 is about 31989.6097194073. The cubic root of 1023335130 is about 1007.7186458865.

Adding to 1023335130 its reverse (315333201), we get a palindrome (1338668331).

The spelling of 1023335130 in words is "one billion, twenty-three million, three hundred thirty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 751 795 857 1502 1590 1714 2253 2571 3755 4285 4506 5142 7510 8570 11265 12855 22530 25710 39803 45421 79606 90842 119409 136263 199015 227105 238818 272526 398030 454210 597045 643607 681315 1194090 1287214 1362630 1930821 3218035 3861642 6436070 9654105 19308210 34111171 68222342 102333513 170555855 204667026 341111710 511667565 1023335130