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132122412422 = 271113239729581
BaseRepresentation
bin111101100001100011…
…1000000010110000110
3110122000211121222010022
41323003013000112012
54131041314144142
6140410213455142
712355054655450
oct1730307002606
9418024558108
10132122412422
115103a725a90
12217336414b2
13c5c780bb80
14657530b2d0
1536843566d2
hex1ec31c0586

132122412422 has 128 divisors (see below), whose sum is σ = 280533915648. Its totient is φ = 44980531200.

The previous prime is 132122412413. The next prime is 132122412431. The reversal of 132122412422 is 224214221231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132122412413) and next prime (132122412431).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 132122412391 and 132122412400.

It is a congruent number.

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, 4451672 + ... + 4481252.

It is an arithmetic number, because the mean of its divisors is an integer number (2191671216).

Almost surely, 2132122412422 is an apocalyptic number.

132122412422 is an abundant number, since it is smaller than the sum of its proper divisors (148411503226).

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

132122412422 is a wasteful number, since it uses less digits than its factorization.

132122412422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29734.

The product of its digits is 3072, while the sum is 26.

Adding to 132122412422 its reverse (224214221231), we get a palindrome (356336633653).

The spelling of 132122412422 in words is "one hundred thirty-two billion, one hundred twenty-two million, four hundred twelve thousand, four hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 23 26 46 77 91 97 143 154 161 182 194 253 286 299 322 506 598 679 1001 1067 1261 1358 1771 2002 2093 2134 2231 2522 3289 3542 4186 4462 6578 7469 8827 13871 14938 15617 17654 23023 24541 27742 29003 29581 31234 46046 49082 58006 59162 97097 171787 194194 203021 207067 319033 325391 343574 384553 406042 414134 638066 650782 680363 769106 1360726 2233231 2277737 2691871 2869357 4230083 4466462 4555474 4762541 5383742 5738714 7483993 8460166 8844719 9525082 14967986 17689438 20085499 29610581 31562927 37301641 40170998 52387951 59221162 61913033 63125854 65995211 74603282 97291909 104775902 123826066 131990422 194583818 220940489 261111487 410318051 441880978 461966477 522222974 681043363 725947321 820636102 857937743 923932954 1362086726 1451894642 1715875486 2872226357 5081631247 5744452714 6005564201 9437315173 10163262494 12011128402 18874630346 66061206211 132122412422