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1130212210431 = 33173971171449
BaseRepresentation
bin10000011100100101111…
…001011011011011111111
311000001021102200002002110
4100130211321123123333
5122004133311213211
62223113510025103
7144440466164463
oct20344571333377
94001242602073
101130212210431
113a6358367947
12163061948193
138276a111375
143c9b9b924a3
151e5ed046ea6
hex10725e5b6ff

1130212210431 has 32 divisors (see below), whose sum is σ = 1578503116800. Its totient is φ = 718435699200.

The previous prime is 1130212210243. The next prime is 1130212210453. The reversal of 1130212210431 is 1340122120311.

It is not a de Polignac number, because 1130212210431 - 229 = 1129675339519 is a prime.

It is a super-3 number, since 3×11302122104313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1130212210398 and 1130212210407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130212210031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6506395 + ... + 6677843.

It is an arithmetic number, because the mean of its divisors is an integer number (49328222400).

Almost surely, 21130212210431 is an apocalyptic number.

1130212210431 is a deficient number, since it is larger than the sum of its proper divisors (448290906369).

1130212210431 is a wasteful number, since it uses less digits than its factorization.

1130212210431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172527.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1130212210431 its reverse (1340122120311), we get a palindrome (2470334330742).

The spelling of 1130212210431 in words is "one trillion, one hundred thirty billion, two hundred twelve million, two hundred ten thousand, four hundred thirty-one".

Divisors: 1 3 31 73 93 219 971 2263 2913 6789 30101 70883 90303 171449 212649 514347 2197373 5314919 6592119 12515777 15944757 37547331 166476979 387989087 499430937 1163967261 5160786349 12152819467 15482359047 36458458401 376737403477 1130212210431