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131223214012131 = 32711091884010481
BaseRepresentation
bin11101110101100011001001…
…000011101011011011100011
3122012121211001101222101210100
4131311203021003223123203
5114144430120241342011
61143031040131233443
736432364400231253
oct3565431103533343
9565554041871710
10131223214012131
11388a24a836720a
1212873b30a48883
13582b3b0381137
1424593477a3963
15102863c269d56
hex7758c90eb6e3

131223214012131 has 24 divisors (see below), whose sum is σ = 193977719226720. Its totient is φ = 85458715372800.

The previous prime is 131223214012087. The next prime is 131223214012141. The reversal of 131223214012131 is 131210412322131.

131223214012131 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 23 + 21 + 401 + 213 + 1 = 666.

It is not a de Polignac number, because 131223214012131 - 226 = 131223146903267 is a prime.

It is a super-2 number, since 2×1312232140121312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131223214012095 and 131223214012104.

It is not an unprimeable number, because it can be changed into a prime (131223214012141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941935590 + ... + 942074891.

It is an arithmetic number, because the mean of its divisors is an integer number (8082404967780).

Almost surely, 2131223214012131 is an apocalyptic number.

131223214012131 is a deficient number, since it is larger than the sum of its proper divisors (62754505214589).

131223214012131 is a wasteful number, since it uses less digits than its factorization.

131223214012131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884010667 (or 1884010664 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131223214012131 its reverse (131210412322131), we get a palindrome (262433626334262).

The spelling of 131223214012131 in words is "one hundred thirty-one trillion, two hundred twenty-three billion, two hundred fourteen million, twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 71 109 213 327 639 981 7739 23217 69651 1884010481 5652031443 16956094329 133764744151 205357142429 401294232453 616071427287 1203882697359 1848214281861 14580357112459 43741071337377 131223214012131