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1031332033134 = 232135413981409
BaseRepresentation
bin11110000001000000010…
…11011111001001101110
310122121001022011121210200
433000200023133021232
5113344132000030014
62105442024414330
7134340240432264
oct17004013371156
93577038147720
101031332033134
11368427056157
12147a670173a6
137633c603110
1437cb9750434
151bc622aba09
hexf0202df26e

1031332033134 has 48 divisors (see below), whose sum is σ = 2406515420400. Its totient is φ = 317323173888.

The previous prime is 1031332033051. The next prime is 1031332033157. The reversal of 1031332033134 is 4313302331301.

1031332033134 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 3 + 320 + 331 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1031332033098 and 1031332033107.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 12627822 + ... + 12709230.

It is an arithmetic number, because the mean of its divisors is an integer number (50135737925).

Almost surely, 21031332033134 is an apocalyptic number.

1031332033134 is an abundant number, since it is smaller than the sum of its proper divisors (1375183387266).

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

1031332033134 is a wasteful number, since it uses less digits than its factorization.

1031332033134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135569 (or 135566 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1031332033134 its reverse (4313302331301), we get a palindrome (5344634364435).

The spelling of 1031332033134 in words is "one trillion, thirty-one billion, three hundred thirty-two million, thirty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 54139 81409 108278 162417 162818 244227 324834 487251 488454 703807 732681 974502 1058317 1407614 1465362 2111421 2116634 3174951 4222842 6334263 6349902 9524853 12668526 19049706 4407401851 8814803702 13222205553 26444411106 39666616659 57296224063 79333233318 114592448126 171888672189 343777344378 515666016567 1031332033134