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31112202231201 = 37133741235731873
BaseRepresentation
bin1110001001011110111111…
…10000110001110110100001
311002011022000212102002121210
413010233133300301312201
513034220242232344301
6150100425352540333
76360532242356640
oct704573760616641
9132138025362553
1031112202231201
119a0567a07aa43
1235a59056b16a9
131448b39237a70
14797ba5275357
1538e476b45ad6
hex1c4bdfc31da1

31112202231201 has 128 divisors (see below), whose sum is σ = 53739209051136. Its totient is φ = 15570751979520.

The previous prime is 31112202231199. The next prime is 31112202231293. The reversal of 31112202231201 is 10213220221113.

It is not a de Polignac number, because 31112202231201 - 21 = 31112202231199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (31112202251201) 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, 976114401 + ... + 976146273.

It is an arithmetic number, because the mean of its divisors is an integer number (419837570712).

Almost surely, 231112202231201 is an apocalyptic number.

It is an amenable number.

31112202231201 is a deficient number, since it is larger than the sum of its proper divisors (22627006819935).

31112202231201 is a wasteful number, since it uses less digits than its factorization.

31112202231201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34331.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 31112202231201 its reverse (10213220221113), we get a palindrome (41325422452314).

It can be divided in two parts, 31112202 and 231201, that added together give a triangular number (31343403 = T7917).

The spelling of 31112202231201 in words is "thirty-one trillion, one hundred twelve billion, two hundred two million, two hundred thirty-one thousand, two hundred one".

Divisors: 1 3 7 13 21 37 39 41 91 111 123 259 273 287 481 533 777 861 1443 1517 1599 2357 3367 3731 4551 7071 10101 10619 11193 16499 19721 30641 31857 31873 49497 59163 87209 91923 95619 96637 138047 214487 223111 261627 289911 414141 414349 610463 643461 669333 676459 1133717 1179301 1243047 1256281 1306793 1831389 2029377 2900443 3401151 3537903 3575569 3768843 3920379 7936019 8255107 8701329 8793967 9147551 10726707 15330913 16988309 23808057 24765321 25028983 26381901 27442653 45992739 46482397 48351341 50964927 75086949 75124661 107316391 118918163 139447191 145054023 225373983 321949173 325376779 338459387 356754489 525872627 628567433 976130337 976620593 1015378161 1577617881 1885702299 2779612457 2929861779 3080111101 4399972031 6836344151 8338837371 9240333303 13199916093 19457287199 20509032453 21560777707 36134961941 40041444313 58371861597 64682333121 108404885823 113964110737 120124332939 252944733587 280290110191 341892332211 758834200761 797748775159 840870330573 1481533439581 2393246325477 4444600318743 10370734077067 31112202231201