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1023030200 = 235243472531
BaseRepresentation
bin111100111110100…
…011001110111000
32122022000022121102
4330332203032320
54043343431300
6245303030532
734231420223
oct7476431670
92568008542
101023030200
11485523805
1224673b448
13133c4191a
1499c245ba
155ec300d5
hex3cfa33b8

1023030200 has 96 divisors (see below), whose sum is σ = 2486626560. Its totient is φ = 391036800.

The previous prime is 1023030193. The next prime is 1023030209. The reversal of 1023030200 is 20303201.

It is a super-2 number, since 2×10230302002 = 2093181580224080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023030209) 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, 402935 + ... + 405465.

It is an arithmetic number, because the mean of its divisors is an integer number (25902360).

Almost surely, 21023030200 is an apocalyptic number.

1023030200 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 1023030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243313280).

1023030200 is an abundant number, since it is smaller than the sum of its proper divisors (1463596360).

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

1023030200 is a wasteful number, since it uses less digits than its factorization.

1023030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 1023030200 is about 31984.8432855314. The cubic root of 1023030200 is about 1007.6185437258.

Adding to 1023030200 its reverse (20303201), we get a palindrome (1043333401).

The spelling of 1023030200 in words is "one billion, twenty-three million, thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 47 50 86 94 100 172 188 200 215 235 344 376 430 470 860 940 1075 1175 1720 1880 2021 2150 2350 2531 4042 4300 4700 5062 8084 8600 9400 10105 10124 12655 16168 20210 20248 25310 40420 50525 50620 63275 80840 101050 101240 108833 118957 126550 202100 217666 237914 253100 404200 435332 475828 506200 544165 594785 870664 951656 1088330 1189570 2176660 2379140 2720825 2973925 4353320 4758280 5115151 5441650 5947850 10230302 10883300 11895700 20460604 21766600 23791400 25575755 40921208 51151510 102303020 127878775 204606040 255757550 511515100 1023030200