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131222042223111 = 3471761892507581
BaseRepresentation
bin11101110101100010000011…
…001101101010001000000111
3122012121201000202001100110000
4131311202003031222020013
5114144420220302114421
61143030323551532343
736432323351210610
oct3565420315521007
9565551022040400
10131222042223111
11388a1a56979834
121287386452a0b3
13582b254686558
142459275cd8c07
1510285be453226
hex77588336a207

131222042223111 has 160 divisors (see below), whose sum is σ = 243801966925440. Its totient is φ = 68636276121600.

The previous prime is 131222042223073. The next prime is 131222042223127. The reversal of 131222042223111 is 111322240222131.

131222042223111 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 2 + 0 + 422 + 231 + 1 + 1 = 666.

It is not a de Polignac number, because 131222042223111 - 27 = 131222042222983 is a prime.

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 (131222042225111) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51076341 + ... + 53583921.

It is an arithmetic number, because the mean of its divisors is an integer number (1523762293284).

Almost surely, 2131222042223111 is an apocalyptic number.

131222042223111 is a deficient number, since it is larger than the sum of its proper divisors (112579924702329).

131222042223111 is a wasteful number, since it uses less digits than its factorization.

131222042223111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507767 (or 2507758 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131222042223111 its reverse (111322240222131), we get a palindrome (242544282445242).

The spelling of 131222042223111 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, forty-two million, two hundred twenty-three thousand, one hundred eleven".

Divisors: 1 3 7 9 17 21 27 51 61 63 81 89 119 153 183 189 267 357 427 459 549 567 623 801 1037 1071 1281 1377 1513 1647 1869 2403 3111 3213 3843 4539 4941 5429 5607 7209 7259 9333 9639 10591 11529 13617 16287 16821 21777 27999 31773 34587 38003 40851 48861 50463 65331 83997 92293 95319 114009 122553 146583 195993 276879 285957 342027 439749 587979 646051 830637 857871 1026081 1938153 2491911 2507581 3078243 5814459 7475733 7522743 17443377 17553067 22568229 42628877 52330131 52659201 67704687 127886631 152962441 157977603 203114061 223174709 298402139 383659893 458887323 473932809 669524127 895206417 1070737087 1150979679 1376661969 1421798427 1562222963 2008572381 2600361497 2685619251 3212211261 3452939037 3793970053 4129985907 4686668889 6025717143 7801084491 8056857753 9636633783 11381910159 12389957721 13613657249 14060006667 18077151429 18202530479 23403253473 24170573259 26557790371 28909901349 34145730477 40840971747 42180020001 54607591437 70209760419 79673371113 86729704047 95295600743 102437191431 122522915241 126540060003 163822774311 210629281257 231432173233 239020113339 285886802229 307311574293 367568745723 491468322933 694296519699 717060340017 857660406687 1102706237169 1474404968799 1620025212631 2082889559097 2151181020051 2572981220061 4860075637893 6248668677291 7718943660183 14580226913679 18746006031873 43740680741037 131222042223111