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1034055230031 = 35151162717321
BaseRepresentation
bin11110000110000100111…
…11101010001001001111
310122212002002100100200000
433003002133222021033
5113420221114330111
62111012144135343
7134464565300655
oct17030237521117
93585062310600
101034055230031
113695a42462aa
121484a7007553
137668484c125
14380972a0dd5
151bd713c4c56
hexf0c27ea24f

1034055230031 has 48 divisors (see below), whose sum is σ = 1560261550848. Its totient is φ = 684344376000.

The previous prime is 1034055230027. The next prime is 1034055230051. The reversal of 1034055230031 is 1300325504301.

1034055230031 is a `hidden beast` number, since 10 + 3 + 40 + 552 + 30 + 0 + 31 = 666.

It is not a de Polignac number, because 1034055230031 - 22 = 1034055230027 is a prime.

It is a super-2 number, since 2×10340552300312 (a number of 25 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 = 1034055229977 and 1034055230004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034055230051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59690851 + ... + 59708171.

It is an arithmetic number, because the mean of its divisors is an integer number (32505448976).

Almost surely, 21034055230031 is an apocalyptic number.

1034055230031 is a deficient number, since it is larger than the sum of its proper divisors (526206320817).

1034055230031 is a wasteful number, since it uses less digits than its factorization.

1034055230031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19114 (or 19102 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 1034055230031 in words is "one trillion, thirty-four billion, fifty-five million, two hundred thirty thousand, thirty-one".

Divisors: 1 3 9 27 81 151 243 453 1359 1627 4077 4881 12231 14643 17321 36693 43929 51963 131787 155889 245677 395361 467667 737031 1403001 2211093 2615471 4209003 6633279 7846413 19899837 23539239 28181267 59699511 70617717 84543801 211853151 253631403 635559453 760894209 2282682627 4255371317 6848047881 12766113951 38298341853 114895025559 344685076677 1034055230031