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130513315345656 = 23373743100260971
BaseRepresentation
bin11101101011001101111111…
…110011001011010011111000
3122010002221200100101122101120
4131223031333303023103320
5114101312232212030111
61141324553411145240
736330163423150635
oct3553157763132370
9563087610348346
10130513315345656
1138649428045a21
121277a4312a5220
1357a94782164c9
142432c4199718c
151014e3e16e406
hex76b37fccb4f8

130513315345656 has 64 divisors (see below), whose sum is σ = 331198084465920. Its totient is φ = 42850736490240.

The previous prime is 130513315345631. The next prime is 130513315345687. The reversal of 130513315345656 is 656543513315031.

It is a junction number, because it is equal to n+sod(n) for n = 130513315345599 and 130513315345608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48828750 + ... + 51432221.

It is an arithmetic number, because the mean of its divisors is an integer number (5174970069780).

Almost surely, 2130513315345656 is an apocalyptic number.

It is an amenable number.

130513315345656 is an abundant number, since it is smaller than the sum of its proper divisors (200684769120264).

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

130513315345656 is a wasteful number, since it uses less digits than its factorization.

130513315345656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100261796 (or 100261792 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 51.

The spelling of 130513315345656 in words is "one hundred thirty trillion, five hundred thirteen billion, three hundred fifteen million, three hundred forty-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 743 876 1486 1752 2229 2972 4458 5944 8916 17832 54239 108478 162717 216956 325434 433912 650868 1301736 100260971 200521942 300782913 401043884 601565826 802087768 1203131652 2406263304 7319050883 14638101766 21957152649 29276203532 43914305298 58552407064 74493901453 87828610596 148987802906 175657221192 223481704359 297975605812 446963408718 595951211624 893926817436 1787853634872 5438054806069 10876109612138 16314164418207 21752219224276 32628328836414 43504438448552 65256657672828 130513315345656