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1211321310030 = 2325131399740041
BaseRepresentation
bin10001101000001000011…
…000000101101101001110
311021210122001202020201100
4101220020120011231032
5124321241223410110
62324250123323530
7153341446151556
oct21501030055516
94253561666640
101211321310030
1142779a333967
121769190805a6
138a2c4c61920
14428b1d58166
1521798a97bc0
hex11a08605b4e

1211321310030 has 96 divisors (see below), whose sum is σ = 3394128628800. Its totient is φ = 297957864960.

The previous prime is 1211321310011. The next prime is 1211321310071. The reversal of 1211321310030 is 300131231121.

1211321310030 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 321 + 310 + 0 + 30 = 666.

It is a super-2 number, since 2×12113213100302 (a number of 25 digits) contains 22 as substring.

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 = 1211321309985 and 1211321310012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1266810 + ... + 2006850.

It is an arithmetic number, because the mean of its divisors is an integer number (35355506550).

Almost surely, 21211321310030 is an apocalyptic number.

1211321310030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211321310030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697064314400).

1211321310030 is an abundant number, since it is smaller than the sum of its proper divisors (2182807318770).

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

1211321310030 is a wasteful number, since it uses less digits than its factorization.

1211321310030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741466 (or 741463 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1211321310030 its reverse (300131231121), we get a palindrome (1511452541151).

The spelling of 1211321310030 in words is "one trillion, two hundred eleven billion, three hundred twenty-one million, three hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1399 2798 4197 6995 8394 12591 13990 18187 20985 25182 36374 41970 54561 62955 90935 109122 125910 163683 181870 272805 327366 545610 740041 818415 1480082 1636830 2220123 3700205 4440246 6660369 7400410 9620533 11100615 13320738 19241066 22201230 28861599 33301845 48102665 57723198 66603690 86584797 96205330 144307995 173169594 288615990 432923985 865847970 1035317359 2070634718 3105952077 5176586795 6211904154 9317856231 10353173590 13459125667 15529760385 18635712462 26918251334 31059520770 40377377001 46589281155 67295628335 80754754002 93178562310 121132131003 134591256670 201886885005 242264262006 403773770010 605660655015 1211321310030