Search a number
-
+
2122023010320 = 2432517173367893
BaseRepresentation
bin11110111000010010011…
…011011000000000010000
321111212022102200000220200
4132320102123120000100
5234231400342312240
64302502141335200
7306211464656523
oct36702233300020
97455272600820
102122023010320
11748a43739564
122a3319267500
1312514b8c1465
14749c6760bba
153a2ea88d930
hex1ee126d8010

2122023010320 has 120 divisors (see below), whose sum is σ = 7545664218456. Its totient is φ = 532586164224.

The previous prime is 2122023010291. The next prime is 2122023010321. The reversal of 2122023010320 is 230103202212.

2122023010320 is a `hidden beast` number, since 21 + 2 + 20 + 2 + 301 + 0 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 272433890304 + 1849589120016 = 521952^2 + 1359996^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2122023010293 and 2122023010302.

It is not an unprimeable number, because it can be changed into a prime (2122023010321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86671707 + ... + 86696186.

Almost surely, 22122023010320 is an apocalyptic number.

2122023010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122023010320 is an abundant number, since it is smaller than the sum of its proper divisors (5423641208136).

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

2122023010320 is a wasteful number, since it uses less digits than its factorization.

2122023010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173367929 (or 173367920 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2122023010320 its reverse (230103202212), we get a palindrome (2352126212532).

The spelling of 2122023010320 in words is "two trillion, one hundred twenty-two billion, twenty-three million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 173367893 346735786 520103679 693471572 866839465 1040207358 1386943144 1560311037 1733678930 2080414716 2600518395 2773886288 2947254181 3120622074 3467357860 4160829432 5201036790 5894508362 6241244148 6934715720 7801555185 8321658864 8841762543 10402073580 11789016724 12482488296 13869431440 14736270905 15603110370 17683525086 20804147160 23578033448 24964976592 26525287629 29472541810 31206220740 35367050172 41608294320 44208812715 47156066896 53050575258 58945083620 62412441480 70734100344 88417625430 106101150516 117890167240 124824882960 132626438145 141468200688 176835250860 212202301032 235780334480 265252876290 353670501720 424404602064 530505752580 707341003440 1061011505160 2122023010320