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2120250020240 = 2451121371598789
BaseRepresentation
bin11110110110101000101…
…111111101000110010000
321111200201212110210202102
4132312220233331012100
5234214233001121430
64302010204135532
7306116525545322
oct36665057750620
97450655423672
102120250020240
11748213952900
122a2b035375a8
13124c2849a3c1
14748990b9612
153a244dbd345
hex1eda8bfd190

2120250020240 has 120 divisors (see below), whose sum is σ = 5458019648760. Its totient is φ = 765371791360.

The previous prime is 2120250020221. The next prime is 2120250020257. The reversal of 2120250020240 is 420200520212.

It can be written as a sum of positive squares in 4 ways, for example, as 424462674064 + 1695787346176 = 651508^2 + 1302224^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526766 + ... + 2125554.

It is an arithmetic number, because the mean of its divisors is an integer number (45483497073).

Almost surely, 22120250020240 is an apocalyptic number.

2120250020240 is a gapful number since it is divisible by the number (20) 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 2120250020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729009824380).

2120250020240 is an abundant number, since it is smaller than the sum of its proper divisors (3337769628520).

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

2120250020240 is a wasteful number, since it uses less digits than its factorization.

2120250020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598961 (or 1598944 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 2120250020240 its reverse (420200520212), we get a palindrome (2540450540452).

The spelling of 2120250020240 in words is "two trillion, one hundred twenty billion, two hundred fifty million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 137 176 220 242 274 440 484 548 605 685 880 968 1096 1210 1370 1507 1936 2192 2420 2740 3014 4840 5480 6028 7535 9680 10960 12056 15070 16577 24112 30140 33154 60280 66308 82885 120560 132616 165770 265232 331540 663080 1326160 1598789 3197578 6395156 7993945 12790312 15987890 17586679 25580624 31975780 35173358 63951560 70346716 87933395 127903120 140693432 175866790 193453469 219034093 281386864 351733580 386906938 438068186 703467160 773813876 876136372 967267345 1095170465 1406934320 1547627752 1752272744 1934534690 2190340930 2409375023 3095255504 3504545488 3869069380 4380681860 4818750046 7738138760 8761363720 9637500092 12046875115 15476277520 17522727440 19275000184 24093750230 26503125253 38550000368 48187500460 53006250506 96375000920 106012501012 132515626265 192750001840 212025002024 265031252530 424050004048 530062505060 1060125010120 2120250020240