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1131041132420 = 225319759931397
BaseRepresentation
bin10000011101010111010…
…011100000111110000100
311000010102012102200021212
4100131113103200332010
5122012333012214140
62223332040430552
7144500152666613
oct20352723407604
94003365380255
101131041132420
113a6743262241
12163253478458
138286ca7c654
143ca57cc987a
151e64abd3765
hex107574e0f84

1131041132420 has 96 divisors (see below), whose sum is σ = 2481296025600. Its totient is φ = 432571576320.

The previous prime is 1131041132401. The next prime is 1131041132437. The reversal of 1131041132420 is 242311401311.

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 31 ways as a sum of consecutive naturals, for example, 36008162 + ... + 36039558.

It is an arithmetic number, because the mean of its divisors is an integer number (25846833600).

Almost surely, 21131041132420 is an apocalyptic number.

1131041132420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131041132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240648012800).

1131041132420 is an abundant number, since it is smaller than the sum of its proper divisors (1350254893180).

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

1131041132420 is a wasteful number, since it uses less digits than its factorization.

1131041132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32133 (or 32131 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 1131041132420 its reverse (242311401311), we get a palindrome (1373352533731).

The spelling of 1131041132420 in words is "one trillion, one hundred thirty-one billion, forty-one million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 97 124 155 194 310 388 485 599 620 970 1198 1940 2396 2995 3007 5990 6014 11980 12028 15035 18569 30070 31397 37138 58103 60140 62794 74276 92845 116206 125588 156985 185690 232412 290515 313970 371380 581030 627940 973307 1162060 1801193 1946614 3045509 3602386 3893228 4866535 6091018 7204772 9005965 9733070 12182036 15227545 18011930 18806803 19466140 30455090 36023860 37613606 60910180 75227212 94034015 94410779 188068030 188821558 376136060 377643116 472053895 583010893 944107790 1166021786 1824259891 1888215580 2332043572 2915054465 3648519782 5830108930 7297039564 9121299455 11660217860 18242598910 36485197820 56552056621 113104113242 226208226484 282760283105 565520566210 1131041132420