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1010033131320 = 2332522712359681
BaseRepresentation
bin11101011001010101010…
…10100111111100111000
310120120001221112022020100
432230222222213330320
5113022021440200240
62052000335155400
7132654363650523
oct16545252477470
93516057468210
101010033131320
1135a397409a64
12143902075b60
1374326ab6335
1436c58b51bba
151b4174bae30
hexeb2aaa7f38

1010033131320 has 96 divisors (see below), whose sum is σ = 3297068770320. Its totient is φ = 268155617280.

The previous prime is 1010033131301. The next prime is 1010033131357. The reversal of 1010033131320 is 231313300101.

It is a happy number.

1010033131320 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 331 + 313 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1010033131293 and 1010033131302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6098121 + ... + 6261560.

Almost surely, 21010033131320 is an apocalyptic number.

1010033131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010033131320 is an abundant number, since it is smaller than the sum of its proper divisors (2287035639000).

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

1010033131320 is a wasteful number, since it uses less digits than its factorization.

1010033131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12359925 (or 12359918 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1010033131320 its reverse (231313300101), we get a palindrome (1241346431421).

It can be divided in two parts, 101003 and 3131320, that added together give a palindrome (3232323).

The spelling of 1010033131320 in words is "one trillion, ten billion, thirty-three million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 227 360 454 681 908 1135 1362 1816 2043 2270 2724 3405 4086 4540 5448 6810 8172 9080 10215 13620 16344 20430 27240 40860 81720 12359681 24719362 37079043 49438724 61798405 74158086 98877448 111237129 123596810 148316172 185395215 222474258 247193620 296632344 370790430 444948516 494387240 556185645 741580860 889897032 1112371290 1483161720 2224742580 2805647587 4449485160 5611295174 8416942761 11222590348 14028237935 16833885522 22445180696 25250828283 28056475870 33667771044 42084713805 50501656566 56112951740 67335542088 84169427610 101003313132 112225903480 126254141415 168338855220 202006626264 252508282830 336677710440 505016565660 1010033131320