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13135045452243 = 311131937401310853
BaseRepresentation
bin1011111100100011110110…
…1101111110000111010011
31201111200211220100022012220
42333020331231332013103
53210201033113432433
643534053453152123
72523655446120141
oct277107555760723
951450756308186
1013135045452243
1142045a5800870
1215817b018b643
13743824c43c40
14335a4d624591
1517ba1542e2b3
hexbf23db7e1d3

13135045452243 has 128 divisors (see below), whose sum is σ = 22251026488320. Its totient is φ = 6771064596480.

The previous prime is 13135045452173. The next prime is 13135045452247. The reversal of 13135045452243 is 34225454053131.

It is not a de Polignac number, because 13135045452243 - 225 = 13135011897811 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13135045452195 and 13135045452204.

It is not an unprimeable number, because it can be changed into a prime (13135045452247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1210263205 + ... + 1210274057.

It is an arithmetic number, because the mean of its divisors is an integer number (173836144440).

Almost surely, 213135045452243 is an apocalyptic number.

13135045452243 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13135045452243 is a deficient number, since it is larger than the sum of its proper divisors (9115981036077).

13135045452243 is a wasteful number, since it uses less digits than its factorization.

13135045452243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14949.

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 13135045452243 in words is "thirteen trillion, one hundred thirty-five billion, forty-five million, four hundred fifty-two thousand, two hundred forty-three".

Divisors: 1 3 11 13 19 33 37 39 57 111 143 209 247 407 429 481 627 703 741 1221 1443 2109 2717 4013 5291 7733 8151 9139 10853 12039 15873 23199 27417 32559 44143 52169 76247 100529 119383 132429 141089 148481 156507 206207 228741 301587 358149 401561 423267 445443 573859 618621 838717 991211 1204683 1551979 1633291 1721577 1930253 2268277 2516151 2680691 2821139 2973633 4417171 4655937 4899873 5220293 5790759 6804831 7629659 8042073 8463417 10903321 13251513 15660879 21232783 22888977 29487601 31032529 32709963 36674807 43553089 57423223 63698349 83926249 88462803 93097587 99185567 110024421 130659267 172269669 251778747 297556701 403422877 479083979 566190157 827508691 1091041237 1210268631 1437251937 1611464293 1698570471 2482526073 3273123711 4834392879 6228091727 9102595601 10757612983 17726107223 18684275181 20949035809 27307786803 30617821567 32272838949 53178321669 62847107427 91853464701 118333742813 230439393899 336796037237 355001228439 398031680371 691318181697 1010388111711 1194095041113 4378348484081 13135045452243