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1221131423130 = 2353110127746933
BaseRepresentation
bin10001110001010001000…
…110101100110110011010
311022201221202012121222120
4101301101012230312122
5130001334121020010
62332551404202110
7154136526556443
oct21612106546632
94281852177876
101221131423130
11430973943053
121787b6539336
138b1c94c5c88
1443162bac2ca
1521b6ee47e70
hex11c511acd9a

1221131423130 has 128 divisors (see below), whose sum is σ = 3066302601216. Its totient is φ = 310877568000.

The previous prime is 1221131423093. The next prime is 1221131423137. The reversal of 1221131423130 is 313241311221.

It is a self number, because there is not a number n which added to its sum of digits gives 1221131423130.

It is not an unprimeable number, because it can be changed into a prime (1221131423137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25995144 + ... + 26042076.

It is an arithmetic number, because the mean of its divisors is an integer number (23955489072).

Almost surely, 21221131423130 is an apocalyptic number.

1221131423130 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 1221131423130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533151300608).

1221131423130 is an abundant number, since it is smaller than the sum of its proper divisors (1845171178086).

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

1221131423130 is a wasteful number, since it uses less digits than its factorization.

1221131423130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47352.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1221131423130 its reverse (313241311221), we get a palindrome (1534372734351).

The spelling of 1221131423130 in words is "one trillion, two hundred twenty-one billion, one hundred thirty-one million, four hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 101 155 186 202 277 303 310 465 505 554 606 831 930 1010 1385 1515 1662 2770 3030 3131 4155 6262 8310 8587 9393 15655 17174 18786 25761 27977 31310 42935 46933 46965 51522 55954 83931 85870 93866 93930 128805 139885 140799 167862 234665 257610 279770 281598 419655 469330 703995 839310 867287 1407990 1454923 1734574 2601861 2909846 4336435 4364769 4740233 5203722 7274615 8672870 8729538 9480466 13000441 13009305 14220699 14549230 21823845 23701165 26000882 26018610 28441398 39001323 43647690 47402330 65002205 71103495 78002646 130004410 142206990 146947223 195006615 293894446 390013230 403013671 440841669 734736115 806027342 881683338 1209041013 1313044541 1469472230 2015068355 2204208345 2418082026 2626089082 3939133623 4030136710 4408416690 6045205065 6565222705 7878267246 12090410130 13130445410 19695668115 39391336230 40704380771 81408761542 122113142313 203521903855 244226284626 407043807710 610565711565 1221131423130