Search a number
-
+
11230302011232 = 253415635067899
BaseRepresentation
bin1010001101101100001000…
…1010010111111101100000
31110202121101001112000201010
42203123002022113331200
52432444124303324412
635515043550540520
72236235232033363
oct243330212277540
943677331460633
1011230302011232
11363a8207916a7
121314611507740
1363602255b695
142ab799c3a0da
151471d501233c
hexa36c2297f60

11230302011232 has 96 divisors (see below), whose sum is σ = 30252200630400. Its totient is φ = 3645643105280.

The previous prime is 11230302011221. The next prime is 11230302011251. The reversal of 11230302011232 is 23211020303211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×112303020112322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11230302011199 and 11230302011208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317982 + ... + 4749917.

It is an arithmetic number, because the mean of its divisors is an integer number (315127089900).

Almost surely, 211230302011232 is an apocalyptic number.

11230302011232 is a gapful number since it is divisible by the number (12) 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 11230302011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15126100315200).

11230302011232 is an abundant number, since it is smaller than the sum of its proper divisors (19021898619168).

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

11230302011232 is a wasteful number, since it uses less digits than its factorization.

11230302011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068516 (or 5068508 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11230302011232 its reverse (23211020303211), we get a palindrome (34441322314443).

The spelling of 11230302011232 in words is "eleven trillion, two hundred thirty billion, three hundred two million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 563 656 984 1126 1312 1689 1968 2252 3378 3936 4504 6756 9008 13512 18016 23083 27024 46166 54048 69249 92332 138498 184664 276996 369328 553992 738656 1107984 2215968 5067899 10135798 15203697 20271596 30407394 40543192 60814788 81086384 121629576 162172768 207783859 243259152 415567718 486518304 623351577 831135436 1246703154 1662270872 2493406308 2853227137 3324541744 4986812616 5706454274 6649083488 8559681411 9973625232 11412908548 17119362822 19947250464 22825817096 34238725644 45651634192 68477451288 91303268384 116982312617 136954902576 233964625234 273909805152 350946937851 467929250468 701893875702 935858500936 1403787751404 1871717001872 2807575502808 3743434003744 5615151005616 11230302011232