Search a number
-
+
12002203211131 = 719971716754193
BaseRepresentation
bin1010111010100111101100…
…0011110001010101111011
31120111101210011210211021201
42232221323003301111323
53033121003010224011
641305422552315031
72346062533004410
oct256517303612573
946441704724251
1012002203211131
1139081188a7a51
12141a1356a2a77
13690a58ca6a03
142d6ca4454107
1515c311573cc1
hexaea7b0f157b

12002203211131 has 32 divisors (see below), whose sum is σ = 14588712642560. Its totient is φ = 9644934352896.

The previous prime is 12002203211111. The next prime is 12002203211179. The reversal of 12002203211131 is 13111230220021.

It is a cyclic number.

It is not a de Polignac number, because 12002203211131 - 25 = 12002203211099 is a prime.

It is a super-2 number, since 2×120022032111312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 12002203211099 and 12002203211108.

It is not an unprimeable number, because it can be changed into a prime (12002203211111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221444371 + ... + 221498563.

It is an arithmetic number, because the mean of its divisors is an integer number (455897270080).

Almost surely, 212002203211131 is an apocalyptic number.

12002203211131 is a deficient number, since it is larger than the sum of its proper divisors (2586509431429).

12002203211131 is a wasteful number, since it uses less digits than its factorization.

12002203211131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71483.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12002203211131 its reverse (13111230220021), we get a palindrome (25113433431152).

The spelling of 12002203211131 in words is "twelve trillion, two billion, two hundred three million, two hundred eleven thousand, one hundred thirty-one".

Divisors: 1 7 19 97 133 679 1843 12901 17167 54193 120169 326173 379351 1029667 1665199 2283211 5256721 7207669 11656393 31638781 36797047 99877699 221471467 699143893 930331231 6512318617 17676293389 90242129407 123734053723 631694905849 1714600458733 12002203211131