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31242003135405 = 35192931947128761
BaseRepresentation
bin1110001101010000110000…
…11111111011101110101101
311002121201001220201020011020
413012220120133323232231
513043332110300313110
6150240213400444353
76403105651014036
oct706503037735655
9132551056636136
1031242003135405
119a55728324497
123606aab7796b9
131458153ab0a1a
147a019a115a8d
15392a2227cd70
hex1c6a187fbbad

31242003135405 has 128 divisors (see below), whose sum is σ = 56248186060800. Its totient is φ = 14733769881600.

The previous prime is 31242003135397. The next prime is 31242003135437. The reversal of 31242003135405 is 50453130024213.

It is not a de Polignac number, because 31242003135405 - 23 = 31242003135397 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 242571225 + ... + 242699985.

It is an arithmetic number, because the mean of its divisors is an integer number (439438953600).

Almost surely, 231242003135405 is an apocalyptic number.

It is an amenable number.

31242003135405 is a deficient number, since it is larger than the sum of its proper divisors (25006182925395).

31242003135405 is a wasteful number, since it uses less digits than its factorization.

31242003135405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129795.

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 31242003135405 its reverse (50453130024213), we get a palindrome (81695133159618).

The spelling of 31242003135405 in words is "thirty-one trillion, two hundred forty-two billion, three million, one hundred thirty-five thousand, four hundred five".

Divisors: 1 3 5 15 19 29 31 57 87 93 95 145 155 285 435 465 551 589 899 947 1653 1767 2697 2755 2841 2945 4495 4735 8265 8835 13485 14205 17081 17993 27463 29357 51243 53979 82389 85405 88071 89965 128761 137315 146785 256215 269895 386283 411945 440355 521797 557783 643805 851353 1565391 1673349 1931415 2446459 2554059 2608985 2788915 3734069 3991591 4256765 7339377 7826955 8366745 11202207 11974773 12232295 12770295 16175707 18670345 19957955 36696885 48527121 56011035 59873865 70947311 75840229 80878535 115756139 121936667 212841933 227520687 242635605 347268417 354736555 365810001 379201145 578780695 609683335 1064209665 1137603435 1736342085 1829050005 2199366641 2316796673 3536163343 3780036677 6598099923 6950390019 10608490029 10996833205 11340110031 11583983365 17680816715 18900183385 32990499615 34751950095 53042450145 56700550155 67187103517 71820696863 109621063633 201561310551 215462090589 328863190899 335935517585 359103484315 548105318165 1007806552755 1077310452945 1644315954495 2082800209027 6248400627081 10414001045135 31242003135405