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11301015000 = 233541168491
BaseRepresentation
bin10101000011001011…
…11100110111011000
31002011120212001012010
422201211330313120
5141121024440000
65105215545520
7550023020412
oct124145746730
932146761163
1011301015000
11487a145920
12223482b2a0
1310b13bc432
14792c699b2
154621edd50
hex2a197cdd8

11301015000 has 160 divisors (see below), whose sum is σ = 38514421440. Its totient is φ = 2739600000.

The previous prime is 11301014999. The next prime is 11301015023. The reversal of 11301015000 is 51010311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130755 + ... + 199245.

It is an arithmetic number, because the mean of its divisors is an integer number (240715134).

Almost surely, 211301015000 is an apocalyptic number.

11301015000 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 11301015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19257210720).

11301015000 is an abundant number, since it is smaller than the sum of its proper divisors (27213406440).

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

11301015000 is a wasteful number, since it uses less digits than its factorization.

11301015000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68531 (or 68512 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 12.

Adding to 11301015000 its reverse (51010311), we get a palindrome (11352025311).

The spelling of 11301015000 in words is "eleven billion, three hundred one million, fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 625 660 750 825 1000 1100 1250 1320 1375 1500 1650 1875 2200 2500 2750 3000 3300 3750 4125 5000 5500 6600 6875 7500 8250 11000 13750 15000 16500 20625 27500 33000 41250 55000 68491 82500 136982 165000 205473 273964 342455 410946 547928 684910 753401 821892 1027365 1369820 1506802 1643784 1712275 2054730 2260203 2739640 3013604 3424550 3767005 4109460 4520406 5136825 6027208 6849100 7534010 8218920 8561375 9040812 10273650 11301015 13698200 15068020 17122750 18081624 18835025 20547300 22602030 25684125 30136040 34245500 37670050 41094600 42806875 45204060 51368250 56505075 68491000 75340100 85613750 90408120 94175125 102736500 113010150 128420625 150680200 171227500 188350250 205473000 226020300 256841250 282525375 342455000 376700500 452040600 470875625 513682500 565050750 753401000 941751250 1027365000 1130101500 1412626875 1883502500 2260203000 2825253750 3767005000 5650507500 11301015000