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134213151100 = 225272104926111
BaseRepresentation
bin111110011111110111…
…0100010100101111100
3110211102112201111102011
41330333232202211330
54144332031313400
6141353501341004
712460632650500
oct1747756424574
9424375644364
10134213151100
1151a12908996
1222017867764
13c86ba06452
1466d2c66300
153757b8e8ba
hex1f3fba297c

134213151100 has 108 divisors (see below), whose sum is σ = 339128294400. Its totient is φ = 45970310400.

The previous prime is 134213151071. The next prime is 134213151109. The reversal of 134213151100 is 1151312431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134213151109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5127045 + ... + 5153155.

It is an arithmetic number, because the mean of its divisors is an integer number (3140076800).

Almost surely, 2134213151100 is an apocalyptic number.

134213151100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134213151100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169564147200).

134213151100 is an abundant number, since it is smaller than the sum of its proper divisors (204915143300).

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

134213151100 is a wasteful number, since it uses less digits than its factorization.

134213151100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27188 (or 27174 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 134213151100 its reverse (1151312431), we get a palindrome (135364463531).

The spelling of 134213151100 in words is "one hundred thirty-four billion, two hundred thirteen million, one hundred fifty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1049 1225 2098 2450 4196 4900 5245 7343 10490 14686 20980 26111 26225 29372 36715 51401 52222 52450 73430 102802 104444 104900 130555 146860 182777 183575 205604 257005 261110 365554 367150 514010 522220 652775 731108 734300 913885 1028020 1279439 1285025 1305550 1827770 2558878 2570050 2611100 3655540 4569425 5117756 5140100 6397195 9138850 12794390 18277700 25588780 27390439 31985975 54780878 63971950 109561756 127943900 136952195 191733073 273904390 383466146 547808780 684760975 766932292 958665365 1342131511 1369521950 1917330730 2684263022 2739043900 3834661460 4793326825 5368526044 6710657555 9586653650 13421315110 19173307300 26842630220 33553287775 67106575550 134213151100