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11110134100 = 225213171926459
BaseRepresentation
bin10100101100011011…
…10011000101010100
31001200021200021211011
422112031303011110
5140223143242400
65034240422004
7542214403342
oct122615630524
931607607734
1011110134100
11479142120a
1221a0917904
1310809a8a60
1477577c992
154505968ba
hex296373154

11110134100 has 144 divisors (see below), whose sum is σ = 28938772800. Its totient is φ = 3657553920.

The previous prime is 11110134029. The next prime is 11110134127. The reversal of 11110134100 is 143101111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406671 + ... + 433129.

It is an arithmetic number, because the mean of its divisors is an integer number (200963700).

Almost surely, 211110134100 is an apocalyptic number.

11110134100 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 11110134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14469386400).

11110134100 is an abundant number, since it is smaller than the sum of its proper divisors (17828638700).

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

11110134100 is a wasteful number, since it uses less digits than its factorization.

11110134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26522 (or 26515 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11110134100 its reverse (143101111), we get a palindrome (11253235211).

The spelling of 11110134100 in words is "eleven billion, one hundred ten million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 17 19 20 25 26 34 38 50 52 65 68 76 85 95 100 130 170 190 221 247 260 323 325 340 380 425 442 475 494 646 650 850 884 950 988 1105 1235 1292 1300 1615 1700 1900 2210 2470 3230 4199 4420 4940 5525 6175 6460 8075 8398 11050 12350 16150 16796 20995 22100 24700 26459 32300 41990 52918 83980 104975 105836 132295 209950 264590 343967 419900 449803 502721 529180 661475 687934 899606 1005442 1322950 1375868 1719835 1799212 2010884 2249015 2513605 2645900 3439670 4498030 5027210 5847439 6535373 6879340 8546257 8599175 8996060 10054420 11245075 11694878 12568025 13070746 17092514 17198350 22490150 23389756 25136050 26141492 29237195 32676865 34185028 34396700 42731285 44980300 50272100 58474390 65353730 85462570 111101341 116948780 130707460 146185975 163384325 170925140 213656425 222202682 292371950 326768650 427312850 444405364 555506705 584743900 653537300 854625700 1111013410 2222026820 2777533525 5555067050 11110134100