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11410034342100 = 22352601109357899
BaseRepresentation
bin1010011000001001101100…
…0010110011100011010100
31111101210021220121102221020
42212002123002303203110
52443420222242421400
640133410350321140
72255230200451122
oct246023302634324
944353256542836
1011410034342100
1136a9a71a22019
1213434114b91b0
13649c668b5014
142b636a27a912
1514bc03e962a0
hexa609b0b38d4

11410034342100 has 144 divisors (see below), whose sum is σ = 33098788833600. Its totient is φ = 3034781568000.

The previous prime is 11410034342071. The next prime is 11410034342141. The reversal of 11410034342100 is 124343001411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197038951 + ... + 197096849.

Almost surely, 211410034342100 is an apocalyptic number.

11410034342100 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 11410034342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16549394416800).

11410034342100 is an abundant number, since it is smaller than the sum of its proper divisors (21688754491500).

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

11410034342100 is a wasteful number, since it uses less digits than its factorization.

11410034342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59610 (or 59603 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11410034342100 its reverse (124343001411), we get a palindrome (11534377343511).

The spelling of 11410034342100 in words is "eleven trillion, four hundred ten billion, thirty-four million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 601 1093 1202 1803 2186 2404 3005 3279 3606 4372 5465 6010 6558 7212 9015 10930 12020 13116 15025 16395 18030 21860 27325 30050 32790 36060 45075 54650 57899 60100 65580 81975 90150 109300 115798 163950 173697 180300 231596 289495 327900 347394 578990 656893 694788 868485 1157980 1313786 1447475 1736970 1970679 2627572 2894950 3284465 3473940 3941358 4342425 5789900 6568930 7882716 8684850 9853395 13137860 16422325 17369700 19706790 32844650 34797299 39413580 49266975 63283607 65689300 69594598 98533950 104391897 126567214 139189196 173986495 189850821 197067900 208783794 253134428 316418035 347972990 379701642 417567588 521959485 632836070 695945980 759403284 869932475 949254105 1043918970 1265672140 1582090175 1739864950 1898508210 2087837940 2609797425 3164180350 3479729900 3797016420 4746270525 5219594850 6328360700 9492541050 10439189700 18985082100 38033447807 76066895614 114100343421 152133791228 190167239035 228200686842 380334478070 456401373684 570501717105 760668956140 950836195175 1141003434210 1901672390350 2282006868420 2852508585525 3803344780700 5705017171050 11410034342100