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1131033012130 = 2572191031117833
BaseRepresentation
bin10000011101010110110…
…100100010011110100010
311000010101122011010100101
4100131112310202132202
5122012323422342010
62223331150413014
7144500023656400
oct20352664423642
94003348133311
101131033012130
113a673971635a
1216325080116a
138286b198548
143ca56bb4470
151e64a12c73a
hex10756d227a2

1131033012130 has 96 divisors (see below), whose sum is σ = 2495328197760. Its totient is φ = 367013687040.

The previous prime is 1131033012103. The next prime is 1131033012143. The reversal of 1131033012130 is 312103301311.

It is a super-3 number, since 3×11310330121303 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 1131033012098 and 1131033012107.

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 47 ways as a sum of consecutive naturals, for example, 9539694 + ... + 9657526.

It is an arithmetic number, because the mean of its divisors is an integer number (25993002060).

Almost surely, 21131033012130 is an apocalyptic number.

1131033012130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1131033012130 is an abundant number, since it is smaller than the sum of its proper divisors (1364295185630).

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

1131033012130 is a wasteful number, since it uses less digits than its factorization.

1131033012130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118904 (or 118897 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1131033012130 its reverse (312103301311), we get a palindrome (1443136313441).

The spelling of 1131033012130 in words is "one trillion, one hundred thirty-one billion, thirty-three million, twelve thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 49 70 95 98 133 190 245 266 490 665 931 1031 1330 1862 2062 4655 5155 7217 9310 10310 14434 19589 36085 39178 50519 72170 97945 101038 117833 137123 195890 235666 252595 274246 505190 589165 685615 824831 959861 1178330 1371230 1649662 1919722 2238827 4124155 4477654 4799305 5773817 8248310 9598610 11194135 11547634 15671789 22388270 28869085 31343578 57738170 78358945 109702523 121485823 156717890 219405046 242971646 548512615 607429115 850400761 1097025230 1214858230 1700801522 2308230637 4252003805 4616461274 5952805327 8504007610 11541153185 11905610654 16157614459 23082306370 29764026635 32315228918 59528053270 80788072295 113103301213 161576144590 226206602426 565516506065 1131033012130