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414213120011210 = 2513193223145350951
BaseRepresentation
bin101111000101110011000000…
…1111000010010101111001010
32000022121101110112002101021212
41132023212001320102233022
5413242431432210324320
64024542514055333122
7153150624152443442
oct13613460170225712
92008541415071255
10414213120011210
1110aa87885807053
123a55933b9811a2
1314a1818b9c18c0
147440044443122
1532d497920b9c5
hex178b981e12bca

414213120011210 has 128 divisors (see below), whose sum is σ = 811289642397696. Its totient is φ = 151358301388800.

The previous prime is 414213120011177. The next prime is 414213120011213. The reversal of 414213120011210 is 12110021312414.

It is not an unprimeable number, because it can be changed into a prime (414213120011213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8129611235 + ... + 8129662185.

It is an arithmetic number, because the mean of its divisors is an integer number (6338200331232).

Almost surely, 2414213120011210 is an apocalyptic number.

414213120011210 is a deficient number, since it is larger than the sum of its proper divisors (397076522386486).

414213120011210 is a wasteful number, since it uses less digits than its factorization.

414213120011210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52840.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 414213120011210 its reverse (12110021312414), we get a palindrome (426323141323624).

The spelling of 414213120011210 in words is "four hundred fourteen trillion, two hundred thirteen billion, one hundred twenty million, eleven thousand, two hundred ten".

Divisors: 1 2 5 10 13 26 65 130 193 223 386 446 965 1115 1453 1930 2230 2509 2899 2906 5018 5798 7265 12545 14495 14530 18889 25090 28990 37778 43039 50951 86078 94445 101902 188890 215195 254755 280429 324019 430390 509510 559507 560858 648038 662363 1119014 1324726 1402145 1620095 2797535 2804290 3240190 3311815 3645577 4212247 5595070 6623630 7291154 8424494 9833543 11362073 18227885 19667086 21061235 22724146 36455770 42122470 49167715 56810365 62535667 74031803 98335430 113620730 125071334 127836059 147706949 148063606 255672118 295413898 312678335 370159015 625356670 639180295 738534745 740318030 812963671 962413439 1278360590 1477069490 1625927342 1924826878 2192880089 4064818355 4385760178 4812067195 8129636710 9624134390 10964400445 14288137979 16509092069 21928800890 28507441157 28576275958 33018184138 57014882314 71440689895 82545460345 142537205785 142881379790 165090920690 185745793727 214618196897 285074411570 371491587454 429236393794 928728968635 1073090984485 1857457937270 2146181968970 3186254769317 6372509538634 15931273846585 31862547693170 41421312001121 82842624002242 207106560005605 414213120011210