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313100132101211 = 713175328324235569
BaseRepresentation
bin100011100110000110100111…
…0001001110010110001011011
31112001121002011112122220011202
41013030031032021302301123
5312014313032304214321
63025524114235144415
7122643511103201630
oct10714151611626133
91461532145586152
10313100132101211
1190844025081974
122b148aa08a510b
13105922a6072960
1457461ad268187
15262e6bdb2670b
hex11cc34e272c5b

313100132101211 has 128 divisors (see below), whose sum is σ = 417436517191680. Its totient is φ = 227812891557888.

The previous prime is 313100132101201. The next prime is 313100132101247. The reversal of 313100132101211 is 112101231001313.

It is not a de Polignac number, because 313100132101211 - 226 = 313100064992347 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313100132101201) 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, 56221963835 + ... + 56221969403.

It is an arithmetic number, because the mean of its divisors is an integer number (3261222790560).

Almost surely, 2313100132101211 is an apocalyptic number.

313100132101211 is a deficient number, since it is larger than the sum of its proper divisors (104336385090469).

313100132101211 is a wasteful number, since it uses less digits than its factorization.

313100132101211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8365.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 313100132101211 its reverse (112101231001313), we get a palindrome (425201363102524).

The spelling of 313100132101211 in words is "three hundred thirteen trillion, one hundred billion, one hundred thirty-two million, one hundred one thousand, two hundred eleven".

Divisors: 1 7 13 17 53 91 119 221 283 371 689 901 1547 1981 2423 3679 4811 4823 5569 6307 11713 14999 16961 25753 31499 33677 38983 41191 62543 72397 81991 94673 104993 128419 194987 220493 254983 288337 295157 437801 506779 535483 662711 685709 898933 1230749 1364909 1576027 1669447 1784881 2066099 2183123 3314779 3748381 3837041 4799963 5017669 8615243 8914217 11032189 11657053 11686129 13493687 15281861 20488351 23203453 26792459 26859287 28380599 35123683 36342577 62399519 65229697 81599371 83529431 94455809 143418457 151541689 175417931 187547213 198664193 229392679 254398039 348301967 456607879 472453501 584706017 617823809 715165411 1060791823 1085882603 1227925517 1420000327 1605748753 2438113769 2982104827 3307174507 3818713421 4324766663 5006157877 7601178221 8031709517 9297150343 9940002289 12157811987 18460004251 20874733789 26730993947 49643274473 56221966619 64918128157 65080052401 85104683909 129220029757 158051555831 202391811313 347502921311 454426897099 843935666041 1106360890817 1416742679191 2631093547069 3440660792321 5907549662287 18417654829483 24084625546247 44728590300173 313100132101211