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5102253200 = 2452114128283
BaseRepresentation
bin1001100000001111…
…00011010010010000
3111011120210022120202
410300013203102100
540422134100300
62202142554332
7240303302522
oct46007432220
914146708522
105102253200
1121890a8390
12ba48989a8
136340b0b45
143658bba12
151ece03ad5
hex1301e3490

5102253200 has 120 divisors (see below), whose sum is σ = 13699185696. Its totient is φ = 1810048000.

The previous prime is 5102253181. The next prime is 5102253209. The reversal of 5102253200 is 23522015.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5102253209) 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, 166259 + ... + 194541.

Almost surely, 25102253200 is an apocalyptic number.

5102253200 is a gapful number since it is divisible by the number (50) 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 5102253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6849592848).

5102253200 is an abundant number, since it is smaller than the sum of its proper divisors (8596932496).

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

5102253200 is a wasteful number, since it uses less digits than its factorization.

5102253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28353 (or 28342 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 5102253200 is about 71430.0580988144. The cubic root of 5102253200 is about 1721.5540758590.

Adding to 5102253200 its reverse (23522015), we get a palindrome (5125775215).

The spelling of 5102253200 in words is "five billion, one hundred two million, two hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 41 44 50 55 80 82 88 100 110 164 176 200 205 220 275 328 400 410 440 451 550 656 820 880 902 1025 1100 1640 1804 2050 2200 2255 3280 3608 4100 4400 4510 7216 8200 9020 11275 16400 18040 22550 28283 36080 45100 56566 90200 113132 141415 180400 226264 282830 311113 452528 565660 622226 707075 1131320 1159603 1244452 1414150 1555565 2262640 2319206 2488904 2828300 3111130 4638412 4977808 5656600 5798015 6222260 7777825 9276824 11313200 11596030 12444520 12755633 15555650 18553648 23192060 24889040 25511266 28990075 31111300 46384120 51022532 57980150 62222600 63778165 92768240 102045064 115960300 124445200 127556330 204090128 231920600 255112660 318890825 463841200 510225320 637781650 1020450640 1275563300 2551126600 5102253200