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1132432121100 = 2235271103488897
BaseRepresentation
bin10000011110101010001…
…101101101110100001100
311000021000010211020001010
4100132222031231310030
5122023210110333400
62224122050245220
7144546503131320
oct20365215556414
94007003736033
101132432121100
113a7297456665
12163581286810
1382a31cc4587
143cb4a933980
151e6ccd98450
hex107aa36dd0c

1132432121100 has 144 divisors (see below), whose sum is σ = 3747978114048. Its totient is φ = 258606428160.

The previous prime is 1132432121083. The next prime is 1132432121101. The reversal of 1132432121100 is 11212342311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1132432121101) 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, 2071852 + ... + 2560748.

It is an arithmetic number, because the mean of its divisors is an integer number (26027625792).

Almost surely, 21132432121100 is an apocalyptic number.

1132432121100 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 1132432121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873989057024).

1132432121100 is an abundant number, since it is smaller than the sum of its proper divisors (2615545992948).

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

1132432121100 is a wasteful number, since it uses less digits than its factorization.

1132432121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490024 (or 490017 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1132432121100 its reverse (11212342311), we get a palindrome (1143644463411).

The spelling of 1132432121100 in words is "one trillion, one hundred thirty-two billion, four hundred thirty-two million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1103 2100 2206 3309 4412 5515 6618 7721 11030 13236 15442 16545 22060 23163 27575 30884 33090 38605 46326 55150 66180 77210 82725 92652 110300 115815 154420 165450 193025 231630 330900 386050 463260 488897 579075 772100 977794 1158150 1466691 1955588 2316300 2444485 2933382 3422279 4888970 5866764 6844558 7333455 9777940 10266837 12222425 13689116 14666910 17111395 20533674 24444850 29333820 34222790 36667275 41067348 48889700 51334185 68445580 73334550 85556975 102668370 146669100 171113950 205336740 256670925 342227900 513341850 539253391 1026683700 1078506782 1617760173 2157013564 2696266955 3235520346 3774773737 5392533910 6471040692 7549547474 8088800865 10785067820 11324321211 13481334775 15099094948 16177601730 18873868685 22648642422 26962669550 32355203460 37747737370 40444004325 45297284844 53925339100 56621606055 75495474740 80888008650 94369343425 113243212110 161776017300 188738686850 226486424220 283108030275 377477373700 566216060550 1132432121100