Search a number
-
+
2212132201320 = 2335731319191453
BaseRepresentation
bin100000001100001101010…
…110101010001101101000
321211110220022000012221010
4200030031112222031220
5242220421320420240
64412123422143520
7315551461315266
oct40141526521550
97743808005833
102212132201320
11783183a59448
122b8886721ba0
131307ac2247a2
14790d3d63436
153c8215d8280
hex2030d5aa368

2212132201320 has 128 divisors (see below), whose sum is σ = 6732441619200. Its totient is φ = 581376927744.

The previous prime is 2212132201303. The next prime is 2212132201423. The reversal of 2212132201320 is 231022312122.

It is a super-2 number, since 2×22121322013202 (a number of 25 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, 11458714 + ... + 11650166.

It is an arithmetic number, because the mean of its divisors is an integer number (52597200150).

Almost surely, 22212132201320 is an apocalyptic number.

2212132201320 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 2212132201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366220809600).

2212132201320 is an abundant number, since it is smaller than the sum of its proper divisors (4520309417880).

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

2212132201320 is a wasteful number, since it uses less digits than its factorization.

2212132201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192859 (or 192855 counting only the distinct ones).

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

Adding to 2212132201320 its reverse (231022312122), we get a palindrome (2443154513442).

The spelling of 2212132201320 in words is "two trillion, two hundred twelve billion, one hundred thirty-two million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1319 1460 1752 2190 2638 2920 3957 4380 5276 6595 7914 8760 10552 13190 15828 19785 26380 31656 39570 52760 79140 96287 158280 191453 192574 288861 382906 385148 481435 574359 577722 765812 770296 957265 962870 1148718 1155444 1444305 1531624 1914530 1925740 2297436 2310888 2871795 2888610 3829060 3851480 4594872 5743590 5777220 7658120 11487180 11554440 13976069 22974360 27952138 41928207 55904276 69880345 83856414 111808552 139760690 167712828 209641035 252526507 279521380 335425656 419282070 505053014 559042760 757579521 838564140 1010106028 1262632535 1515159042 1677128280 2020212056 2525265070 3030318084 3787897605 5050530140 6060636168 7575795210 10101060280 15151590420 18434435011 30303180840 36868870022 55303305033 73737740044 92172175055 110606610066 147475480088 184344350110 221213220132 276516525165 368688700220 442426440264 553033050330 737377400440 1106066100660 2212132201320