Search a number
-
+
2136222042000 = 243531272803441
BaseRepresentation
bin11111000101100000110…
…000011000011110010000
321120012221222122120121220
4133011200300120132100
5234444440320321000
64313211124045040
7310223400520404
oct37054060303620
97505858576556
102136222042000
11753a6a719192
122a6020533780
131265a2508957
1475572447104
153a87c1d91a0
hex1f160c18790

2136222042000 has 160 divisors (see below), whose sum is σ = 6941412102144. Its totient is φ = 565173504000.

The previous prime is 2136222041999. The next prime is 2136222042001. The reversal of 2136222042000 is 2402226312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2136222041999) and next prime (2136222042001).

It is a super-2 number, since 2×21362220420002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2136222042001) by changing a digit.

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, 639721 + ... + 2163720.

Almost surely, 22136222042000 is an apocalyptic number.

2136222042000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2136222042000 is an abundant number, since it is smaller than the sum of its proper divisors (4805190060144).

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

2136222042000 is a wasteful number, since it uses less digits than its factorization.

2136222042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803594 (or 2803578 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2136222042000 its reverse (2402226312), we get a palindrome (2138624268312).

The spelling of 2136222042000 in words is "two trillion, one hundred thirty-six billion, two hundred twenty-two million, forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 127 150 200 240 250 254 300 375 381 400 500 508 600 635 750 762 1000 1016 1200 1270 1500 1524 1905 2000 2032 2540 3000 3048 3175 3810 5080 6000 6096 6350 7620 9525 10160 12700 15240 15875 19050 25400 30480 31750 38100 47625 50800 63500 76200 95250 127000 152400 190500 254000 381000 762000 2803441 5606882 8410323 11213764 14017205 16820646 22427528 28034410 33641292 42051615 44855056 56068820 67282584 70086025 84103230 112137640 134565168 140172050 168206460 210258075 224275280 280344100 336412920 350430125 356037007 420516150 560688200 672825840 700860250 712074014 841032300 1051290375 1068111021 1121376400 1401720500 1424148028 1682064600 1780185035 2102580750 2136222042 2803441000 2848296056 3364129200 3560370070 4205161500 4272444084 5340555105 5606882000 5696592112 7120740140 8410323000 8544888168 8900925175 10681110210 14241480280 16820646000 17089776336 17801850350 21362220420 26702775525 28482960560 35603700700 42724440840 44504625875 53405551050 71207401400 85448881680 89009251750 106811102100 133513877625 142414802800 178018503500 213622204200 267027755250 356037007000 427244408400 534055510500 712074014000 1068111021000 2136222042000