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1133322223104 = 293427327407
BaseRepresentation
bin10000011111011111010…
…001001011111000000000
311000100022011201002110000
4100133133101023320000
5122032020442114404
62224350244240000
7144610531644021
oct20373721137000
94010264632400
101133322223104
113a7703938455
1216378b3a0000
1382b44533956
143cbd2c34c48
151e7310bc339
hex107df44be00

1133322223104 has 100 divisors (see below), whose sum is σ = 3382668544464. Its totient is φ = 377774060544.

The previous prime is 1133322223097. The next prime is 1133322223109. The reversal of 1133322223104 is 4013222233311.

1133322223104 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 322 + 22 + 310 + 4 = 666.

It is a super-2 number, since 2×11333222231042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133322223109) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 13622232 + ... + 13705175.

Almost surely, 21133322223104 is an apocalyptic number.

It is an amenable number.

1133322223104 is an abundant number, since it is smaller than the sum of its proper divisors (2249346321360).

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

1133322223104 is an frugal number, since it uses more digits than its factorization.

1133322223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27327437 (or 27327412 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1133322223104 its reverse (4013222233311), we get a palindrome (5146544456415).

The spelling of 1133322223104 in words is "one trillion, one hundred thirty-three billion, three hundred twenty-two million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 27327407 54654814 81982221 109309628 163964442 218619256 245946663 327928884 437238512 491893326 655857768 737839989 874477024 983786652 1311715536 1475679978 1748954048 1967573304 2213519967 2623431072 2951359956 3497908096 3935146608 4427039934 5246862144 5902719912 6995816192 7870293216 8854079868 10493724288 11805439824 13991632384 15740586432 17708159736 20987448576 23610879648 31481172864 35416319472 41974897152 47221759296 62962345728 70832638944 94443518592 125924691456 141665277888 188887037184 283330555776 377774074368 566661111552 1133322223104