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2320021314120 = 233537871359971
BaseRepresentation
bin100001110000101100000…
…010111101101001001000
322012210101021102000102210
4201300230002331221020
5301002400424022440
64533445244225120
7326421201535536
oct41605402755110
98183337360383
102320021314120
11814a08604784
1231577653b1a0
1313aa142c11c3
148040aa65156
1540538217a80
hex21c2c0bda48

2320021314120 has 128 divisors (see below), whose sum is σ = 7149113389440. Its totient is φ = 601872353280.

The previous prime is 2320021314097. The next prime is 2320021314133. The reversal of 2320021314120 is 214131200232.

It is a super-2 number, since 2×23200213141202 (a number of 26 digits) contains 22 as substring.

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, 38655735 + ... + 38715705.

It is an arithmetic number, because the mean of its divisors is an integer number (55852448355).

Almost surely, 22320021314120 is an apocalyptic number.

2320021314120 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 2320021314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574556694720).

2320021314120 is an abundant number, since it is smaller than the sum of its proper divisors (4829092075320).

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

2320021314120 is a wasteful number, since it uses less digits than its factorization.

2320021314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68735 (or 68731 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2320021314120 its reverse (214131200232), we get a palindrome (2534152514352).

The spelling of 2320021314120 in words is "two trillion, three hundred twenty billion, twenty-one million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 8713 17426 26139 34852 43565 52278 59971 69704 87130 104556 119942 130695 174260 179913 209112 239884 261390 299855 322381 348520 359826 479768 522780 599710 644762 719652 899565 967143 1045560 1199420 1289524 1439304 1611905 1799130 1934286 2218927 2398840 2579048 3223810 3598260 3868572 4437854 4835715 6447620 6656781 7196520 7737144 8875708 9671430 11094635 12895240 13313562 17751416 19342860 22189270 26627124 33283905 38685720 44378540 53254248 66567810 88757080 133135620 266271240 522527323 1045054646 1567581969 2090109292 2612636615 3135163938 4180218584 5225273230 6270327876 7837909845 10450546460 12540655752 15675819690 19333510951 20901092920 31351639380 38667021902 58000532853 62703278760 77334043804 96667554755 116001065706 154668087608 193335109510 232002131412 290002664265 386670219020 464004262824 580005328530 773340438040 1160010657060 2320021314120