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11052501000 = 2335324115287
BaseRepresentation
bin10100100101100011…
…11100100000001000
31001112021020020001220
422102301330200020
5140113420013000
65024421242040
7540614464662
oct122261744010
931467206056
1011052501000
114761937652
122185563320
131071a7a228
1476bc59532
1544a4b01a0
hex292c7c808

11052501000 has 128 divisors (see below), whose sum is σ = 34629154560. Its totient is φ = 2934912000.

The previous prime is 11052500993. The next prime is 11052501007. The reversal of 11052501000 is 10525011.

It is an interprime number because it is at equal distance from previous prime (11052500993) and next prime (11052501007).

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

It is not an unprimeable number, because it can be changed into a prime (11052501007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 715357 + ... + 730643.

It is an arithmetic number, because the mean of its divisors is an integer number (270540270).

Almost surely, 211052501000 is an apocalyptic number.

11052501000 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 11052501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17314577280).

11052501000 is an abundant number, since it is smaller than the sum of its proper divisors (23576653560).

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

11052501000 is a wasteful number, since it uses less digits than its factorization.

11052501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15552 (or 15538 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The spelling of 11052501000 in words is "eleven billion, fifty-two million, five hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 241 250 300 375 482 500 600 723 750 964 1000 1205 1446 1500 1928 2410 2892 3000 3615 4820 5784 6025 7230 9640 12050 14460 15287 18075 24100 28920 30125 30574 36150 45861 48200 60250 61148 72300 76435 90375 91722 120500 122296 144600 152870 180750 183444 229305 241000 305740 361500 366888 382175 458610 611480 723000 764350 917220 1146525 1528700 1834440 1910875 2293050 3057400 3684167 3821750 4586100 5732625 7368334 7643500 9172200 11052501 11465250 14736668 15287000 18420835 22105002 22930500 29473336 36841670 44210004 45861000 55262505 73683340 88420008 92104175 110525010 147366680 184208350 221050020 276312525 368416700 442100040 460520875 552625050 736833400 921041750 1105250100 1381562625 1842083500 2210500200 2763125250 3684167000 5526250500 11052501000