Search a number
-
+
2120332120080 = 243523813710507
BaseRepresentation
bin11110110110101101101…
…001001001000000010000
321111200221120221220120020
4132312231221021000100
5234214420010320310
64302022255543440
7306121543435416
oct36665551110020
97450846856506
102120332120080
11748256228709
122a2b26b2ab80
13124c3c4b44a5
14748a5d6b2b6
153a24c1d9170
hex1edada49010

2120332120080 has 80 divisors (see below), whose sum is σ = 6575791961664. Its totient is φ = 565184273920.

The previous prime is 2120332120079. The next prime is 2120332120103. The reversal of 2120332120080 is 800212330212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2120332120080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1283814 + ... + 2426693.

Almost surely, 22120332120080 is an apocalyptic number.

2120332120080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120332120080 is an abundant number, since it is smaller than the sum of its proper divisors (4455459841584).

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

2120332120080 is a wasteful number, since it uses less digits than its factorization.

2120332120080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712904 (or 3712898 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2120332120080 its reverse (800212330212), we get a palindrome (2920544450292).

The spelling of 2120332120080 in words is "two trillion, one hundred twenty billion, three hundred thirty-two million, one hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2381 4762 7143 9524 11905 14286 19048 23810 28572 35715 38096 47620 57144 71430 95240 114288 142860 190480 285720 571440 3710507 7421014 11131521 14842028 18552535 22263042 29684056 37105070 44526084 55657605 59368112 74210140 89052168 111315210 148420280 178104336 222630420 296840560 445260840 890521680 8834717167 17669434334 26504151501 35338868668 44173585835 53008303002 70677737336 88347171670 106016606004 132520757505 141355474672 176694343340 212033212008 265041515010 353388686680 424066424016 530083030020 706777373360 1060166060040 2120332120080