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212322221222130 = 23357191112157799
BaseRepresentation
bin110000010001101100011110…
…100100101110100011110010
31000211202210202122210020022000
4300101230132210232203302
5210312141402113102010
62031323252030354430
762502526400454645
oct6021543644564362
91024683678706260
10212322221222130
116171a391718538
121b99157635ba16
139161b904070c6
143a60643a2da5c
151982ec53e97c0
hexc11b1e92e8f2

212322221222130 has 128 divisors (see below), whose sum is σ = 574797441024000. Its totient is φ = 55760524747200.

The previous prime is 212322221222087. The next prime is 212322221222143. The reversal of 212322221222130 is 31222122223212.

212322221222130 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 222 + 212 + 221 + 3 + 0 = 666.

It is a super-2 number, since 2×2123222212221302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212322221222094 and 212322221222103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11384971 + ... + 23542769.

It is an arithmetic number, because the mean of its divisors is an integer number (4490605008000).

Almost surely, 2212322221222130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212322221222130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287398720512000).

212322221222130 is an abundant number, since it is smaller than the sum of its proper divisors (362475219801870).

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

212322221222130 is a wasteful number, since it uses less digits than its factorization.

212322221222130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12158797 (or 12158791 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 212322221222130 its reverse (31222122223212), we get a palindrome (243544343445342).

The spelling of 212322221222130 in words is "two hundred twelve trillion, three hundred twenty-two billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 90 135 142 213 270 355 426 639 710 911 1065 1278 1822 1917 2130 2733 3195 3834 4555 5466 6390 8199 9110 9585 13665 16398 19170 24597 27330 40995 49194 64681 81990 122985 129362 194043 245970 323405 388086 582129 646810 970215 1164258 1746387 1940430 2910645 3492774 5821290 8731935 12157799 17463870 24315598 36473397 60788995 72946794 109420191 121577990 182366985 218840382 328260573 364733970 547100955 656521146 863203729 1094201910 1641302865 1726407458 2589611187 3282605730 4316018645 5179222374 7768833561 8632037290 11075754889 12948055935 15537667122 22151509778 23306500683 25896111870 33227264667 38844167805 46613001366 55378774445 66454529334 77688335610 99681794001 110757548890 116532503415 166136323335 199363588002 233065006830 299045382003 332272646670 498408970005 598090764006 786378597119 996817940010 1495226910015 1572757194238 2359135791357 2990453820030 3931892985595 4718271582714 7077407374071 7863785971190 11795678956785 14154814748142 21232222122213 23591357913570 35387036870355 42464444244426 70774073740710 106161110611065 212322221222130