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134411301100 = 225273147112517
BaseRepresentation
bin111110100101110001…
…0011011000011101100
3110211221100120120010001
41331023202123003230
54200233243113400
6141425300354044
712465560131336
oct1751342330354
9424840516101
10134411301100
1152004747a1a
12220720a5924
13c8a0a9367b
1467112c6456
15376a280a6a
hex1f4b89b0ec

134411301100 has 72 divisors (see below), whose sum is σ = 295892672768. Its totient is φ = 52987737600.

The previous prime is 134411301083. The next prime is 134411301103. The reversal of 134411301100 is 1103114431.

It is a super-2 number, since 2×1344113011002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134411301103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10732042 + ... + 10744558.

Almost surely, 2134411301100 is an apocalyptic number.

134411301100 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 134411301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147946336384).

134411301100 is an abundant number, since it is smaller than the sum of its proper divisors (161481371668).

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

134411301100 is a wasteful number, since it uses less digits than its factorization.

134411301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14075 (or 14068 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 134411301100 its reverse (1103114431), we get a palindrome (135514415531).

The spelling of 134411301100 in words is "one hundred thirty-four billion, four hundred eleven million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1471 1825 2942 3650 5884 7300 7355 12517 14710 25034 29420 36775 50068 62585 73550 107383 125170 147100 214766 250340 312925 429532 536915 625850 913741 1073830 1251700 1827482 2147660 2684575 3654964 4568705 5369150 9137410 10738300 18274820 18412507 22843525 36825014 45687050 73650028 91374100 92062535 184125070 368250140 460312675 920625350 1344113011 1841250700 2688226022 5376452044 6720565055 13441130110 26882260220 33602825275 67205650550 134411301100