Search a number
-
+
2120332301232 = 243832713196171
BaseRepresentation
bin11110110110101101101…
…001110101001110110000
321111200221121022010001120
4132312231221311032300
5234214420032114412
64302022303502240
7306121545121515
oct36665551651660
97450847263046
102120332301232
11748256341822
122a2b26bb7980
13124c3c548a92
14748a5db730c
153a24c222b8c
hex1edada753b0

2120332301232 has 80 divisors (see below), whose sum is σ = 5545590976128. Its totient is φ = 698001108480.

The previous prime is 2120332301141. The next prime is 2120332301261. The reversal of 2120332301232 is 2321032330212.

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

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, 10710507 + ... + 10906677.

Almost surely, 22120332301232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120332301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772795488064).

2120332301232 is an abundant number, since it is smaller than the sum of its proper divisors (3425258674896).

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

2120332301232 is a wasteful number, since it uses less digits than its factorization.

2120332301232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198978 (or 198972 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2120332301232 its reverse (2321032330212), we get a palindrome (4441364631444).

The spelling of 2120332301232 in words is "two trillion, one hundred twenty billion, three hundred thirty-two million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 2713 3984 5426 8139 10852 16278 21704 32556 43408 65112 130224 196171 225179 392342 450358 588513 675537 784684 900716 1177026 1351074 1569368 1801432 2354052 2702148 3138736 3602864 4708104 5404296 9416208 10808592 16282193 32564386 48846579 65128772 97693158 130257544 195386316 260515088 390772632 532211923 781545264 1064423846 1596635769 2128847692 3193271538 4257695384 6386543076 8515390768 12773086152 25546172304 44173589609 88347179218 132520768827 176694358436 265041537654 353388716872 530083075308 706777433744 1060166150616 2120332301232