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11330201131002 = 23313271231125771
BaseRepresentation
bin1010010011100000010010…
…0111010001011111111010
31111010011020012100010022000
42210320010213101133322
52441113222442143002
640033004511441430
72246402642402415
oct244700447213772
944104205303260
1011330201131002
113679125184a06
12132ba51526276
136425831a9a80
142b255571ab7c
15149ad047161c
hexa4e049d17fa

11330201131002 has 128 divisors (see below), whose sum is σ = 27227899453440. Its totient is φ = 3471713784000.

The previous prime is 11330201130979. The next prime is 11330201131049. The reversal of 11330201131002 is 20013110203311.

11330201131002 is a `hidden beast` number, since 1 + 1 + 330 + 20 + 1 + 1 + 310 + 0 + 2 = 666.

11330201131002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 439636377 + ... + 439662147.

It is an arithmetic number, because the mean of its divisors is an integer number (212717964480).

Almost surely, 211330201131002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11330201131002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13613949726720).

11330201131002 is an abundant number, since it is smaller than the sum of its proper divisors (15897698322438).

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

11330201131002 is a wasteful number, since it uses less digits than its factorization.

11330201131002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28377 (or 28371 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11330201131002 its reverse (20013110203311), we get a palindrome (31343311334313).

The spelling of 11330201131002 in words is "eleven trillion, three hundred thirty billion, two hundred one million, one hundred thirty-one thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 271 351 542 702 813 1626 2311 2439 3523 4622 4878 6933 7046 7317 10569 13866 14634 20799 21138 25771 30043 31707 41598 51542 60086 62397 63414 77313 90129 95121 124794 154626 180258 190242 231939 270387 335023 463878 540774 626281 670046 695817 811161 1005069 1252562 1391634 1622322 1878843 2010138 3015207 3757686 5636529 6030414 6983941 8141653 9045621 11273058 13967882 16283306 16909587 18091242 20951823 24424959 33819174 41903646 48849918 59556781 62855469 73274877 90791233 119113562 125710938 146549754 178670343 181582466 188566407 219824631 272373699 357340686 377132814 439649262 536011029 544747398 774238153 817121097 1072022058 1548476306 1608033087 1634242194 2322714459 2451363291 3216066174 4645428918 4902726582 6968143377 13936286754 16139887651 20904430131 32279775302 41808860262 48419662953 96839325906 145258988859 209818539463 290517977718 419637078926 435776966577 629455618389 871553933154 1258911236778 1888366855167 3776733710334 5665100565501 11330201131002