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1023333011130 = 235476131183961
BaseRepresentation
bin11101110010000110110…
…01101000111010111010
310121211101211121012110110
432321003121220322322
5113231241222324010
62102040201525150
7133635101034363
oct16710331507272
93554354535413
101023333011130
11364aa1896571
121463b41a37b6
13756663431c1
143775b25cb6a
151b944e06120
hexee43668eba

1023333011130 has 64 divisors (see below), whose sum is σ = 2512348420608. Its totient is φ = 266646735360.

The previous prime is 1023333011089. The next prime is 1023333011131. The reversal of 1023333011130 is 311103333201.

It is a junction number, because it is equal to n+sod(n) for n = 1023333011097 and 1023333011106.

It is not an unprimeable number, because it can be changed into a prime (1023333011131) 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, 272350 + ... + 1456310.

It is an arithmetic number, because the mean of its divisors is an integer number (39255444072).

Almost surely, 21023333011130 is an apocalyptic number.

1023333011130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023333011130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256174210304).

1023333011130 is an abundant number, since it is smaller than the sum of its proper divisors (1489015409478).

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

1023333011130 is a wasteful number, since it uses less digits than its factorization.

1023333011130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184631.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1023333011130 its reverse (311103333201), we get a palindrome (1334436344331).

The spelling of 1023333011130 in words is "one trillion, twenty-three billion, three hundred thirty-three million, eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 613 705 1226 1410 1839 3065 3678 6130 9195 18390 28811 57622 86433 144055 172866 288110 432165 864330 1183961 2367922 3551883 5919805 7103766 11839610 17759415 35518830 55646167 111292334 166938501 278230835 333877002 556461670 725768093 834692505 1451536186 1669385010 2177304279 3628840465 4354608558 7257680930 10886521395 21773042790 34111100371 68222200742 102333301113 170555501855 204666602226 341111003710 511666505565 1023333011130