Search a number
-
+
134343100122 = 237115312743201
BaseRepresentation
bin111110100011101111…
…0010000011011011010
3110211202121020120221220
41331013132100123122
54200113313200442
6141414422512510
712464101336560
oct1750736203332
9424677216856
10134343100122
1151a7a1a5580
1222053295736
13c88c90496a
146706211a30
1537642aceec
hex1f477906da

134343100122 has 128 divisors (see below), whose sum is σ = 344001282048. Its totient is φ = 33965568000.

The previous prime is 134343100103. The next prime is 134343100141. The reversal of 134343100122 is 221001343431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (134343100103) and next prime (134343100141).

It is a super-3 number, since 3×1343431001223 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134343100092 and 134343100101.

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, 3088122 + ... + 3131322.

It is an arithmetic number, because the mean of its divisors is an integer number (2687510016).

Almost surely, 2134343100122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134343100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172000641024).

134343100122 is an abundant number, since it is smaller than the sum of its proper divisors (209658181926).

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

134343100122 is a wasteful number, since it uses less digits than its factorization.

134343100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43404.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 134343100122 its reverse (221001343431), we get a palindrome (355344443553).

The spelling of 134343100122 in words is "one hundred thirty-four billion, three hundred forty-three million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 53 66 77 106 127 154 159 231 254 318 371 381 462 583 742 762 889 1113 1166 1397 1749 1778 2226 2667 2794 3498 4081 4191 5334 6731 8162 8382 9779 12243 13462 19558 20193 24486 29337 40386 43201 47117 58674 74041 86402 94234 129603 141351 148082 222123 259206 282702 302407 444246 475211 518287 604814 907221 950422 1036574 1425633 1554861 1814442 2289653 2851266 3109722 3326477 4579306 5486527 6652954 6868959 9979431 10973054 13737918 16027571 16459581 19958862 25186183 32055142 32919162 38405689 48082713 50372366 60351797 75558549 76811378 96165426 115217067 120703594 151117098 176303281 181055391 230434134 290785931 352606562 362110782 422462579 528909843 581571862 844925158 872357793 1057819686 1267387737 1744715586 2035501517 2534775474 3198645241 4071003034 6106504551 6397290482 9595935723 12213009102 19191871446 22390516687 44781033374 67171550061 134343100122