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1230114441132 = 223331735930437
BaseRepresentation
bin10001111001101000100…
…010001100011110101100
311100121010210100020002000
4101321220202030132230
5130123233244104012
62341035021332300
7154605245141343
oct21715042143654
94317123306060
101230114441132
11434763595475
1217a4a2a07090
138bccb5ab745
1443775c42b5a
1521ee88bcddc
hex11e6888c7ac

1230114441132 has 48 divisors (see below), whose sum is σ = 3199246199520. Its totient is φ = 408744639936.

The previous prime is 1230114441109. The next prime is 1230114441151. The reversal of 1230114441132 is 2311444110321.

It is a happy number.

1230114441132 is a `hidden beast` number, since 1 + 230 + 1 + 14 + 4 + 411 + 3 + 2 = 666.

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 = 1230114441096 and 1230114441105.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17930983 + ... + 17999454.

It is an arithmetic number, because the mean of its divisors is an integer number (66650962490).

Almost surely, 21230114441132 is an apocalyptic number.

1230114441132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1230114441132 is an abundant number, since it is smaller than the sum of its proper divisors (1969131758388).

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

1230114441132 is a wasteful number, since it uses less digits than its factorization.

1230114441132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35930767 (or 35930759 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1230114441132 its reverse (2311444110321), we get a palindrome (3541558551453).

The spelling of 1230114441132 in words is "one trillion, two hundred thirty billion, one hundred fourteen million, four hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 317 634 951 1268 1902 2853 3804 5706 8559 11412 17118 34236 35930437 71860874 107791311 143721748 215582622 323373933 431165244 646747866 970121799 1293495732 1940243598 3880487196 11389948529 22779897058 34169845587 45559794116 68339691174 102509536761 136679382348 205019073522 307528610283 410038147044 615057220566 1230114441132