Search a number
-
+
11512120000 = 26542771039
BaseRepresentation
bin10101011100010110…
…10000001011000000
31002201022002021210211
422232023100023000
5142034100320000
65142200403504
7555165256033
oct125613201300
932638067724
1011512120000
114978323167
122293476594
131116064234
147b2cdd01a
154759ed7ba
hex2ae2d02c0

11512120000 has 140 divisors (see below), whose sum is σ = 28676945440. Its totient is φ = 4583808000.

The previous prime is 11512119977. The next prime is 11512120063. The reversal of 11512120000 is 2121511.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 11079481 + ... + 11080519.

Almost surely, 211512120000 is an apocalyptic number.

11512120000 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 11512120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14338472720).

11512120000 is an abundant number, since it is smaller than the sum of its proper divisors (17164825440).

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

11512120000 is an equidigital number, since it uses as much as digits as its factorization.

11512120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

Adding to 11512120000 its reverse (2121511), we get a palindrome (11514241511).

The spelling of 11512120000 in words is "eleven billion, five hundred twelve million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 277 320 400 500 554 625 800 1000 1039 1108 1250 1385 1600 2000 2078 2216 2500 2770 4000 4156 4432 5000 5195 5540 6925 8000 8312 8864 10000 10390 11080 13850 16624 17728 20000 20780 22160 25975 27700 33248 34625 40000 41560 44320 51950 55400 66496 69250 83120 88640 103900 110800 129875 138500 166240 173125 207800 221600 259750 277000 287803 332480 346250 415600 443200 519500 554000 575606 649375 692500 831200 1039000 1108000 1151212 1298750 1385000 1439015 1662400 2078000 2216000 2302424 2597500 2770000 2878030 4156000 4604848 5195000 5540000 5756060 7195075 8312000 9209696 10390000 11080000 11512120 14390150 18419392 20780000 23024240 28780300 35975375 41560000 46048480 57560600 71950750 92096960 115121200 143901500 179876875 230242400 287803000 359753750 460484800 575606000 719507500 1151212000 1439015000 2302424000 2878030000 5756060000 11512120000