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1133231122100 = 2252711359340961
BaseRepresentation
bin10000011111011001110…
…101101010011010110100
311000100001211021200100202
4100133121311222122310
5122031324131401400
62224333231500032
7144605344414310
oct20373165523264
94010054250322
101133231122100
113a7667474970
12163764987618
1382b2b6b782c
143cbc4abcb40
151e7280c44d5
hex107d9d6a6b4

1133231122100 has 144 divisors (see below), whose sum is σ = 3066833460096. Its totient is φ = 353107968000.

The previous prime is 1133231122087. The next prime is 1133231122141. The reversal of 1133231122100 is 12211323311.

It is a happy number.

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

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, 27645620 + ... + 27686580.

It is an arithmetic number, because the mean of its divisors is an integer number (21297454584).

Almost surely, 21133231122100 is an apocalyptic number.

1133231122100 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 1133231122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533416730048).

1133231122100 is an abundant number, since it is smaller than the sum of its proper divisors (1933602337996).

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

1133231122100 is a wasteful number, since it uses less digits than its factorization.

1133231122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44586 (or 44579 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1133231122100 its reverse (12211323311), we get a palindrome (1145442445411).

The spelling of 1133231122100 in words is "one trillion, one hundred thirty-three billion, two hundred thirty-one million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3593 3850 7186 7700 14372 17965 25151 35930 39523 40961 50302 71860 79046 81922 89825 100604 125755 158092 163844 179650 197615 204805 251510 276661 286727 359300 395230 409610 450571 503020 553322 573454 628775 790460 819220 901142 988075 1024025 1106644 1146908 1257550 1383305 1433635 1802284 1976150 2048050 2252855 2515100 2766610 2867270 3153997 3952300 4096100 4505710 5533220 5734540 6307994 6916525 7168175 9011420 11264275 12615988 13833050 14336350 15769985 22528550 27666100 28672700 31539970 45057100 63079940 78849925 147172873 157699850 294345746 315399700 588691492 735864365 1030210111 1471728730 1618901603 2060420222 2943457460 3237803206 3679321825 4120840444 5151050555 6475606412 7358643650 8094508015 10302101110 11332311221 14717287300 16189016030 20604202220 22664622442 25755252775 32378032060 40472540075 45329244884 51510505550 56661556105 80945080150 103021011100 113323112210 161890160300 226646224420 283307780525 566615561050 1133231122100