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10232021200 = 2452173148539
BaseRepresentation
bin10011000011110000…
…00100000011010000
3222102002100112101011
421201320010003100
5131423344134300
64411151420304
7511362513412
oct114170040320
928362315334
1010232021200
114380788a75
121b96824694
13c70aa671b
146d0cbc9b2
153ed43eeba
hex261e040d0

10232021200 has 120 divisors (see below), whose sum is σ = 26868637440. Its totient is φ = 3727718400.

The previous prime is 10232021197. The next prime is 10232021207. The reversal of 10232021200 is 212023201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232021207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186531 + ... + 235069.

It is an arithmetic number, because the mean of its divisors is an integer number (223905312).

Almost surely, 210232021200 is an apocalyptic number.

10232021200 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 10232021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13434318720).

10232021200 is an abundant number, since it is smaller than the sum of its proper divisors (16636616240).

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

10232021200 is a wasteful number, since it uses less digits than its factorization.

10232021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48605 (or 48594 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10232021200 its reverse (212023201), we get a palindrome (10444044401).

The spelling of 10232021200 in words is "ten billion, two hundred thirty-two million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 31 34 40 50 62 68 80 85 100 124 136 155 170 200 248 272 310 340 400 425 496 527 620 680 775 850 1054 1240 1360 1550 1700 2108 2480 2635 3100 3400 4216 5270 6200 6800 8432 10540 12400 13175 21080 26350 42160 48539 52700 97078 105400 194156 210800 242695 388312 485390 776624 825163 970780 1213475 1504709 1650326 1941560 2426950 3009418 3300652 3883120 4125815 4853900 6018836 6601304 7523545 8251630 9707800 12037672 13202608 15047090 16503260 19415600 20629075 24075344 25580053 30094180 33006520 37617725 41258150 51160106 60188360 66013040 75235450 82516300 102320212 120376720 127900265 150470900 165032600 204640424 255800530 300941800 330065200 409280848 511601060 601883600 639501325 1023202120 1279002650 2046404240 2558005300 5116010600 10232021200