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2122313320 = 2351731831213
BaseRepresentation
bin111111001111111…
…1110111001101000
312110220111200120001
41332133332321220
513321303011240
6550332312344
7103410236251
oct17637767150
95426450501
102122313320
11999a99456
124b29126b4
1327a9011ca
14161c17b28
15c64c389a
hex7e7fee68

2122313320 has 128 divisors (see below), whose sum is σ = 5286435840. Its totient is φ = 763269120.

The previous prime is 2122313317. The next prime is 2122313329. The reversal of 2122313320 is 233132212.

It is not an unprimeable number, because it can be changed into a prime (2122313329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1749034 + ... + 1750246.

It is an arithmetic number, because the mean of its divisors is an integer number (41300280).

Almost surely, 22122313320 is an apocalyptic number.

2122313320 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 2122313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643217920).

2122313320 is an abundant number, since it is smaller than the sum of its proper divisors (3164122520).

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

2122313320 is a wasteful number, since it uses less digits than its factorization.

2122313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2122313320 is about 46068.5719335861. The cubic root of 2122313320 is about 1285.0987463670.

Adding to 2122313320 its reverse (233132212), we get a palindrome (2355445532).

It can be divided in two parts, 21223 and 13320, that added together give a palindrome (34543).

The spelling of 2122313320 in words is "two billion, one hundred twenty-two million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 83 85 124 136 155 166 170 248 310 332 340 415 527 620 664 680 830 1054 1213 1240 1411 1660 2108 2426 2573 2635 2822 3320 4216 4852 5146 5270 5644 6065 7055 9704 10292 10540 11288 12130 12865 14110 20584 20621 21080 24260 25730 28220 37603 41242 43741 48520 51460 56440 75206 82484 87482 100679 102920 103105 150412 164968 174964 188015 201358 206210 218705 300824 349928 376030 402716 412420 437410 503395 639251 752060 805432 824840 874820 1006790 1278502 1504120 1711543 1749640 2013580 2557004 3121049 3196255 3423086 4027160 5114008 6242098 6392510 6846172 8557715 12484196 12785020 13692344 15605245 17115430 24968392 25570040 31210490 34230860 53057833 62420980 68461720 106115666 124841960 212231332 265289165 424462664 530578330 1061156660 2122313320