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1011131333030 = 2571341271100003
BaseRepresentation
bin11101011011011000001…
…11111011100110100110
310120122220110222201202202
432231230013323212212
5113031244110124110
62052301325334502
7133023530344010
oct16555407734646
93518813881682
101011131333030
1135a900306185
12143b69a07432
1374470487630
1436d209431b0
151b47dae90a5
hexeb6c1fb9a6

1011131333030 has 128 divisors (see below), whose sum is σ = 2303170523136. Its totient is φ = 311046220800.

The previous prime is 1011131333029. The next prime is 1011131333059. The reversal of 1011131333030 is 303331311101.

It is a junction number, because it is equal to n+sod(n) for n = 1011131332993 and 1011131333011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10061009 + ... + 10161011.

It is an arithmetic number, because the mean of its divisors is an integer number (17993519712).

Almost surely, 21011131333030 is an apocalyptic number.

1011131333030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1011131333030 is an abundant number, since it is smaller than the sum of its proper divisors (1292039190106).

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

1011131333030 is a wasteful number, since it uses less digits than its factorization.

1011131333030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100342.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 1011131333030 its reverse (303331311101), we get a palindrome (1314462644131).

The spelling of 1011131333030 in words is "one trillion, eleven billion, one hundred thirty-one million, three hundred thirty-three thousand, thirty".

Divisors: 1 2 5 7 10 13 14 26 35 41 65 70 82 91 130 182 205 271 287 410 455 533 542 574 910 1066 1355 1435 1897 2665 2710 2870 3523 3731 3794 5330 7046 7462 9485 11111 17615 18655 18970 22222 24661 35230 37310 49322 55555 77777 100003 111110 123305 144443 155554 200006 246610 288886 388885 500015 700021 722215 777770 1000030 1011101 1300039 1400042 1444430 2022202 2600078 3500105 4100123 5055505 6500195 7000210 8200246 9100273 10111010 13000390 18200546 20500615 27100813 28700861 41001230 45501365 53301599 54201626 57401722 91002730 106603198 135504065 143504305 189705691 266507995 271008130 287008610 352310569 373111193 379411382 533015990 704621138 746222386 948528455 1111133333 1761552845 1865555965 1897056910 2222266666 2466173983 3523105690 3731111930 4932347966 5555666665 7777933331 11111333330 12330869915 14444733329 15555866662 24661739830 28889466658 38889666655 72223666645 77779333310 101113133303 144447333290 202226266606 505565666515 1011131333030