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1132113030100 = 2252135876472293
BaseRepresentation
bin10000011110010111001…
…100011110101111010100
311000020011220101201110221
4100132113030132233110
5122022031413430400
62224030251124124
7144535546660003
oct20362714365724
94006156351427
101132113030100
113a7143322898
121634b2443644
13829b0b71030
143cb1a3d0c3a
151e6aed67c1a
hex1079731ebd4

1132113030100 has 144 divisors (see below), whose sum is σ = 2655421792128. Its totient is φ = 416472168960.

The previous prime is 1132113030079. The next prime is 1132113030101. The reversal of 1132113030100 is 10303112311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132113030101) 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, 493724554 + ... + 493726846.

It is an arithmetic number, because the mean of its divisors is an integer number (18440429112).

Almost surely, 21132113030100 is an apocalyptic number.

1132113030100 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 1132113030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327710896064).

1132113030100 is an abundant number, since it is smaller than the sum of its proper divisors (1523308762028).

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

1132113030100 is a wasteful number, since it uses less digits than its factorization.

1132113030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1132113030100 its reverse (10303112311), we get a palindrome (1142416142411).

The spelling of 1132113030100 in words is "one trillion, one hundred thirty-two billion, one hundred thirteen million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 587 647 650 1174 1294 1300 2293 2348 2588 2935 3235 4586 5870 6470 7631 8411 9172 11465 11740 12940 14675 15262 16175 16822 22930 29350 29809 30524 32350 33644 38155 42055 45860 57325 58700 59618 64700 76310 84110 114650 119236 149045 152620 168220 190775 210275 229300 298090 379789 381550 420550 596180 745225 759578 763100 841100 1345991 1483571 1490450 1519156 1898945 2691982 2967142 2980900 3797890 4937257 5383964 5934284 6729955 7417855 7595780 9494725 9874514 13459910 14835710 17497883 18989450 19286423 19749028 24686285 26919820 29671420 33649775 34995766 37089275 37978900 38572846 49372570 67299550 69991532 74178550 77145692 87489415 96432115 98745140 123431425 134599100 148357100 174978830 192864230 246862850 349957660 385728460 437447075 482160575 493725700 870856177 874894150 964321150 1741712354 1749788300 1928642300 3483424708 4354280885 8708561770 11321130301 17417123540 21771404425 22642260602 43542808850 45284521204 56605651505 87085617700 113211303010 226422606020 283028257525 566056515050 1132113030100