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211305312313410 = 23571759189163113
BaseRepresentation
bin110000000010111001011010…
…000101000110000001000010
31000201011120221112021020122110
4300002321122011012001002
5210144011234423012120
62025224153111320150
762336206423403640
oct6002713205060102
91021146845236573
10211305312313410
11613680970a0217
121b848475680056
1390ba00bc8ca43
143a27335a5a190
1519668094a12e0
hexc02e5a146042

211305312313410 has 64 divisors (see below), whose sum is σ = 613673243165952. Its totient is φ = 45457277270016.

The previous prime is 211305312313369. The next prime is 211305312313421. The reversal of 211305312313410 is 14313213503112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29594577987 + ... + 29594585126.

It is an arithmetic number, because the mean of its divisors is an integer number (9588644424468).

Almost surely, 2211305312313410 is an apocalyptic number.

211305312313410 is an abundant number, since it is smaller than the sum of its proper divisors (402367930852542).

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

211305312313410 is a wasteful number, since it uses less digits than its factorization.

211305312313410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59189163147.

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 211305312313410 its reverse (14313213503112), we get a palindrome (225618525816522).

The spelling of 211305312313410 in words is "two hundred eleven trillion, three hundred five billion, three hundred twelve million, three hundred thirteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 3570 59189163113 118378326226 177567489339 295945815565 355134978678 414324141791 591891631130 828648283582 887837446695 1006215772921 1242972425373 1775674893390 2012431545842 2071620708955 2485944850746 3018647318763 4143241417910 5031078864605 6037294637526 6214862126865 7043510410447 10062157729210 12429724253730 14087020820894 15093236593815 21130531231341 30186473187630 35217552052235 42261062462682 70435104104470 105652656156705 211305312313410