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1131211011330 = 2325472287116933
BaseRepresentation
bin10000011101100001011…
…011100011010100000010
311000010212001002102100100
4100131201123203110002
5122013210004330310
62223400545503230
7144504314642451
oct20354133432402
94003761072310
101131211011330
113a6820141834
121632a0341b16
138289901b80a
143ca726aab98
151e65aa8cec0
hex107616e3502

1131211011330 has 96 divisors (see below), whose sum is σ = 3005065350144. Its totient is φ = 295106433408.

The previous prime is 1131211011319. The next prime is 1131211011341. The reversal of 1131211011330 is 331101121311.

1131211011330 is a `hidden beast` number, since 1 + 1 + 312 + 1 + 10 + 11 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (1131211011319) and next prime (1131211011341).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9615544 + ... + 9732476.

It is an arithmetic number, because the mean of its divisors is an integer number (31302764064).

Almost surely, 21131211011330 is an apocalyptic number.

1131211011330 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 1131211011330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502532675072).

1131211011330 is an abundant number, since it is smaller than the sum of its proper divisors (1873854338814).

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

1131211011330 is a wasteful number, since it uses less digits than its factorization.

1131211011330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119280 (or 119277 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1131211011330 its reverse (331101121311), we get a palindrome (1462312132641).

The spelling of 1131211011330 in words is "one trillion, one hundred thirty-one billion, two hundred eleven million, eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 1410 2115 2287 4230 4574 6861 11435 13722 20583 22870 34305 41166 68610 102915 107489 116933 205830 214978 233866 322467 350799 537445 584665 644934 701598 967401 1052397 1074890 1169330 1612335 1753995 1934802 2104794 3224670 3507990 4837005 5261985 5495851 9674010 10523970 10991702 16487553 27479255 32975106 49462659 54958510 82437765 98925318 164875530 247313295 267425771 494626590 534851542 802277313 1337128855 1604554626 2406831939 2674257710 4011386565 4813663878 8022773130 12034159695 12569011237 24068319390 25138022474 37707033711 62845056185 75414067422 113121101133 125690112370 188535168555 226242202266 377070337110 565605505665 1131211011330