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10150231200 = 2535223183881
BaseRepresentation
bin10010111010000000…
…00011110010100000
3222012101110011120220
421131000003302200
5131241424344300
64355110403040
7506350353534
oct113500036240
928171404526
1010150231200
1143395a4a2a
121b73360480
13c59b6a685
146c40abbc4
153e6185da0
hex25d003ca0

10150231200 has 144 divisors (see below), whose sum is σ = 34475668416. Its totient is φ = 2589030400.

The previous prime is 10150231153. The next prime is 10150231207. The reversal of 10150231200 is 213205101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10150231200.

It is not an unprimeable number, because it can be changed into a prime (10150231207) 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, 36741 + ... + 147140.

It is an arithmetic number, because the mean of its divisors is an integer number (239414364).

Almost surely, 210150231200 is an apocalyptic number.

10150231200 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 10150231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17237834208).

10150231200 is an abundant number, since it is smaller than the sum of its proper divisors (24325437216).

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

10150231200 is a wasteful number, since it uses less digits than its factorization.

10150231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183927 (or 183914 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 10150231200 its reverse (213205101), we get a palindrome (10363436301).

The spelling of 10150231200 in words is "ten billion, one hundred fifty million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 69 75 80 92 96 100 115 120 138 150 160 184 200 230 240 276 300 345 368 400 460 480 552 575 600 690 736 800 920 1104 1150 1200 1380 1725 1840 2208 2300 2400 2760 3450 3680 4600 5520 6900 9200 11040 13800 18400 27600 55200 183881 367762 551643 735524 919405 1103286 1471048 1838810 2206572 2758215 2942096 3677620 4229263 4413144 4597025 5516430 5884192 7355240 8458526 8826288 9194050 11032860 12687789 13791075 14710480 16917052 17652576 18388100 21146315 22065720 25375578 27582150 29420960 33834104 36776200 42292630 44131440 50751156 55164300 63438945 67668208 73552400 84585260 88262880 101502312 105731575 110328600 126877890 135336416 147104800 169170520 203004624 211463150 220657200 253755780 317194725 338341040 406009248 422926300 441314400 507511560 634389450 676682080 845852600 1015023120 1268778900 1691705200 2030046240 2537557800 3383410400 5075115600 10150231200