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1114531340130 = 232513532339121
BaseRepresentation
bin10000001101111111001…
…111101001111101100010
310221112210121100022221100
4100031333033221331202
5121230030010341010
62212001510335230
7143344061036445
oct20157717517542
93845717308840
101114531340130
1139a7409819aa
1216000635a516
138113b4c31a0
143bd2d37365c
151ded158d2c0
hex1037f3e9f62

1114531340130 has 144 divisors (see below), whose sum is σ = 3180688992936. Its totient is φ = 269169039360.

The previous prime is 1114531340129. The next prime is 1114531340141. The reversal of 1114531340130 is 310431354111.

1114531340130 is a `hidden beast` number, since 1 + 114 + 531 + 3 + 4 + 0 + 13 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 252714327849 + 861817012281 = 502707^2 + 928341^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1114531340094 and 1114531340103.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3116970 + ... + 3456090.

Almost surely, 21114531340130 is an apocalyptic number.

1114531340130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114531340130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590344496468).

1114531340130 is an abundant number, since it is smaller than the sum of its proper divisors (2066157652806).

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

1114531340130 is a wasteful number, since it uses less digits than its factorization.

1114531340130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339253 (or 339197 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 1114531340130 its reverse (310431354111), we get a palindrome (1424962694241).

The spelling of 1114531340130 in words is "one trillion, one hundred fourteen billion, five hundred thirty-one million, three hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 53 65 78 90 106 117 130 159 195 234 265 318 390 477 530 585 689 795 954 1170 1378 1590 2067 2385 2809 3445 4134 4770 5618 6201 6890 8427 10335 12402 14045 16854 20670 25281 28090 31005 36517 42135 50562 62010 73034 84270 109551 126405 182585 219102 252810 328653 339121 365170 547755 657306 678242 1017363 1095510 1643265 1695605 2034726 3052089 3286530 3391210 4408573 5086815 6104178 8817146 10173630 13225719 15260445 17973413 22042865 26451438 30520890 35946826 39677157 44085730 53920239 66128595 79354314 89867065 107840478 132257190 161760717 179734130 198385785 233654369 269601195 323521434 396771570 467308738 539202390 700963107 808803585 952590889 1168271845 1401926214 1617607170 1905181778 2102889321 2336543690 2857772667 3504815535 4205778642 4762954445 5715545334 7009631070 8573318001 9525908890 10514446605 12383681557 14288863335 17146636002 21028893210 24767363114 28577726670 37151044671 42866590005 61918407785 74302089342 85733180010 111453134013 123836815570 185755223355 222906268026 371510446710 557265670065 1114531340130