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11422002000 = 2435319100193
BaseRepresentation
bin10101010001100110…
…11110101101010000
31002111000111211011010
422220303132231100
5141343013031000
65125221050520
7553022262243
oct125063365520
932430454133
1011422002000
114931471182
122269256a40
1311004a0686
147a4d6125a
1546cb4bd50
hex2a8cdeb50

11422002000 has 160 divisors (see below), whose sum is σ = 38763054720. Its totient is φ = 2885529600.

The previous prime is 11422001999. The next prime is 11422002017. The reversal of 11422002000 is 20022411.

11422002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63904 + ... + 164096.

It is an arithmetic number, because the mean of its divisors is an integer number (242269092).

Almost surely, 211422002000 is an apocalyptic number.

11422002000 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 11422002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19381527360).

11422002000 is an abundant number, since it is smaller than the sum of its proper divisors (27341052720).

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

11422002000 is a wasteful number, since it uses less digits than its factorization.

11422002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100238 (or 100222 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 11422002000 its reverse (20022411), we get a palindrome (11442024411).

The spelling of 11422002000 in words is "eleven billion, four hundred twenty-two million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1200 1425 1500 1520 1900 2000 2280 2375 2850 3000 3800 4560 4750 5700 6000 7125 7600 9500 11400 14250 19000 22800 28500 38000 57000 100193 114000 200386 300579 400772 500965 601158 801544 1001930 1202316 1502895 1603088 1903667 2003860 2404632 2504825 3005790 3807334 4007720 4809264 5009650 5711001 6011580 7514475 7614668 8015440 9518335 10019300 11422002 12023160 12524125 15028950 15229336 19036670 20038600 22844004 24046320 25048250 28555005 30057900 30458672 37572375 38073340 40077200 45688008 47591675 50096500 57110010 60115800 75144750 76146680 91376016 95183350 100193000 114220020 120231600 142775025 150289500 152293360 190366700 200386000 228440040 237958375 285550050 300579000 380733400 456880080 475916750 571100100 601158000 713875125 761466800 951833500 1142200200 1427750250 1903667000 2284400400 2855500500 3807334000 5711001000 11422002000