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134122252122 = 232314139714767
BaseRepresentation
bin111110011101001001…
…1110010011101011010
3110211012012200100110100
41330322103302131122
54144140244031442
6141340453200230
712455450222055
oct1747223623532
9424165610410
10134122252122
1151976573171
1221bb1330076
13c855c2b281
1466c4b63a9c
15374ebd684c
hex1f3a4f275a

134122252122 has 96 divisors (see below), whose sum is σ = 308083636224. Its totient is φ = 42100819200.

The previous prime is 134122252111. The next prime is 134122252123. The reversal of 134122252122 is 221252221431.

134122252122 is a `hidden beast` number, since 1 + 3 + 412 + 225 + 2 + 1 + 22 = 666.

It is not an unprimeable number, because it can be changed into a prime (134122252123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9075183 + ... + 9089949.

It is an arithmetic number, because the mean of its divisors is an integer number (3209204544).

Almost surely, 2134122252122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134122252122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154041818112).

134122252122 is an abundant number, since it is smaller than the sum of its proper divisors (173961384102).

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

134122252122 is a wasteful number, since it uses less digits than its factorization.

134122252122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15244 (or 15241 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 134122252122 its reverse (221252221431), we get a palindrome (355374473553).

The spelling of 134122252122 in words is "one hundred thirty-four billion, one hundred twenty-two million, two hundred fifty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 41 62 82 93 123 186 246 279 369 397 558 738 794 1191 1271 2382 2542 3573 3813 7146 7626 11439 12307 14767 16277 22878 24614 29534 32554 36921 44301 48831 73842 88602 97662 110763 132903 146493 221526 265806 292986 457777 504587 605447 915554 1009174 1210894 1373331 1513761 1816341 2746662 3027522 3632682 4119993 4541283 5449023 5862499 8239986 9082566 10898046 11724998 17587497 18768857 35174994 37537714 52762491 56306571 105524982 112613142 168919713 181737469 240362459 337839426 363474938 480724918 545212407 721087377 1090424814 1442174754 1635637221 2163262131 3271274442 4326524262 7451236229 14902472458 22353708687 44707417374 67061126061 134122252122