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1131341410100 = 22521110194710753
BaseRepresentation
bin10000011101101001001…
…100111110111100110100
311000011012010110100211102
4100131221030332330310
5122013441400110400
62223421524425232
7144510460214006
oct20355114767464
94004163410742
101131341410100
113a6887806310
12163317b48218
13828ba046955
143ca85b32376
151e6672499d5
hex1076933ef34

1131341410100 has 144 divisors (see below), whose sum is σ = 2707818313536. Its totient is φ = 406855680000.

The previous prime is 1131341410099. The next prime is 1131341410109. The reversal of 1131341410100 is 10141431311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131341410109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105206324 + ... + 105217076.

It is an arithmetic number, because the mean of its divisors is an integer number (18804293844).

Almost surely, 21131341410100 is an apocalyptic number.

1131341410100 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 1131341410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353909156768).

1131341410100 is an abundant number, since it is smaller than the sum of its proper divisors (1576476903436).

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

1131341410100 is a wasteful number, since it uses less digits than its factorization.

1131341410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11826 (or 11819 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1131341410100 its reverse (10141431311), we get a palindrome (1141482841411).

The spelling of 1131341410100 in words is "one trillion, one hundred thirty-one billion, three hundred forty-one million, four hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 947 1010 1100 1111 1894 2020 2222 2525 3788 4444 4735 5050 5555 9470 10100 10417 10753 11110 18940 20834 21506 22220 23675 27775 41668 43012 47350 52085 53765 55550 94700 95647 104170 107530 111100 118283 191294 208340 215060 236566 260425 268825 382588 473132 478235 520850 537650 591415 956470 1041700 1052117 1075300 1086053 1182830 1912940 2104234 2172106 2365660 2391175 2957075 4208468 4344212 4782350 5260585 5430265 5914150 9564700 10183091 10521170 10860530 11828300 11946583 20366182 21042340 21721060 23893166 26302925 27151325 40732364 47786332 50915455 52605850 54302650 59732915 101830910 105211700 108605300 112014001 119465830 203661820 224028002 238931660 254577275 298664575 448056004 509154550 560070005 597329150 1018309100 1028492191 1120140010 1194658300 2056984382 2240280020 2800350025 4113968764 5142460955 5600700050 10284921910 11201400100 11313414101 20569843820 22626828202 25712304775 45253656404 51424609550 56567070505 102849219100 113134141010 226268282020 282835352525 565670705050 1131341410100