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1305314420034 = 23411311371731709
BaseRepresentation
bin10010111111101010110…
…011010110010101000010
311121210020121100221222210
4102333222303112111002
5132341240442420114
62435353030042550
7163206623334342
oct22775263262502
94553217327883
101305314420034
11463642a62669
12190b8b1a9456
1396124132491
144726b2d4d22
1523e4a788259
hex12feacd6542

1305314420034 has 128 divisors (see below), whose sum is σ = 2731674274560. Its totient is φ = 415516774400.

The previous prime is 1305314420021. The next prime is 1305314420051. The reversal of 1305314420034 is 4300244135031.

It is a super-2 number, since 2×13053144200342 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1305314419983 and 1305314420010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 763787572 + ... + 763789280.

It is an arithmetic number, because the mean of its divisors is an integer number (21341205270).

Almost surely, 21305314420034 is an apocalyptic number.

1305314420034 is an abundant number, since it is smaller than the sum of its proper divisors (1426359854526).

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

1305314420034 is a wasteful number, since it uses less digits than its factorization.

1305314420034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 1305314420034 its reverse (4300244135031), we get a palindrome (5605558555065).

The spelling of 1305314420034 in words is "one trillion, three hundred five billion, three hundred fourteen million, four hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 41 82 123 131 137 173 246 262 274 346 393 411 519 786 822 1038 1709 3418 5127 5371 5617 7093 10254 10742 11234 14186 16113 16851 17947 21279 22663 23701 32226 33702 35894 42558 45326 47402 53841 67989 70069 71103 107682 135978 140138 142206 210207 223879 234133 295657 420414 447758 468266 591314 671637 702399 735827 886971 929183 971741 1343274 1404798 1471654 1773942 1858366 1943482 2207481 2787549 2915223 3104831 4414962 5575098 5830446 6209662 9179039 9314493 9599453 12121937 18358078 18628986 19198906 24243874 27537117 28798359 30671423 36365811 38731067 40505009 55074234 57596718 61342846 72731622 77462134 81010018 92014269 116193201 121515027 127298071 184028538 232386402 243030054 254596142 381894213 763788426 1257528343 1587973747 1660705369 2515056686 3175947494 3321410738 3772585029 4763921241 4982116107 5306156179 7545170058 9527842482 9964232214 10612312358 15918468537 31836937074 217552403339 435104806678 652657210017 1305314420034