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1132430312013 = 3711134374639
BaseRepresentation
bin10000011110101010000…
…110110100001001001101
311000021000000102022102220
4100132222012310021031
5122023204124441023
62224121543405553
7144546451555110
oct20365206641115
94007000368386
101132430312013
113a7296430450
121635807538b9
1382a31810000
143cb4a5c2577
151e6ccb3c3e3
hex107aa1b424d

1132430312013 has 160 divisors (see below), whose sum is σ = 2094918574080. Its totient is φ = 528233322240.

The previous prime is 1132430311963. The next prime is 1132430312059. The reversal of 1132430312013 is 3102130342311.

It is not a de Polignac number, because 1132430312013 - 26 = 1132430311949 is a prime.

It is a super-2 number, since 2×11324303120132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132430312513) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 244108548 + ... + 244113186.

It is an arithmetic number, because the mean of its divisors is an integer number (13093241088).

Almost surely, 21132430312013 is an apocalyptic number.

1132430312013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1132430312013 is a deficient number, since it is larger than the sum of its proper divisors (962488262067).

1132430312013 is an equidigital number, since it uses as much as digits as its factorization.

1132430312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4749 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1132430312013 its reverse (3102130342311), we get a palindrome (4234560654324).

The spelling of 1132430312013 in words is "one trillion, one hundred thirty-two billion, four hundred thirty million, three hundred twelve thousand, thirteen".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 169 231 259 273 407 429 481 507 777 1001 1183 1221 1443 1859 2197 2849 3003 3367 3549 4639 5291 5577 6253 6591 8547 10101 13013 13917 15379 15873 18759 24167 28561 32473 37037 39039 43771 46137 51029 60307 68783 72501 81289 85683 97419 111111 131313 153087 169169 171643 180921 199927 206349 243867 314171 357203 422149 481481 507507 514929 569023 599781 663377 783991 894179 942513 1056757 1071609 1201501 1266447 1444443 1707069 1888073 1990131 2199197 2231359 2351973 2682537 3170271 3604503 4643639 5487937 5664219 6259253 6597591 6694077 7397299 8623901 10191883 11624327 13216511 13930917 15619513 16463811 18777759 22191897 24544949 25871703 29007667 30575649 34872981 39649533 46858539 60367307 71343181 73634847 81370289 87023001 112110713 132494479 171814643 181101921 203053669 214029543 244110867 319084337 336332139 377099671 397483437 515443929 609161007 784774991 927461353 957253011 1131299013 1457439269 2233590359 2354324973 2639697697 2782384059 4148096381 4372317807 4902295723 6700771077 7919093091 10202074883 12444289143 14706887169 29036674667 30606224649 34316070061 53925252953 87110024001 102948210183 161775758859 377476770671 1132430312013