Search a number
-
+
131021003222112 = 25319107671324209
BaseRepresentation
bin11101110010100110110100…
…010110101110110001100000
3122011220111002222200221112010
4131302212310112232301200
5114133122003311101422
61142354115024232520
736411645412665303
oct3562466426566140
9564814088627463
10131021003222112
1138824771676823
12128408b8a6b740
1358152c60232b3
14244d643c36b3a
151023254b96b0c
hex7729b45aec60

131021003222112 has 96 divisors (see below), whose sum is σ = 365415193987200. Its totient is φ = 40988370843648.

The previous prime is 131021003222099. The next prime is 131021003222129. The reversal of 131021003222112 is 211222300120131.

It is a tau number, because it is divible by the number of its divisors (96).

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, 335466937 + ... + 335857272.

It is an arithmetic number, because the mean of its divisors is an integer number (3806408270700).

Almost surely, 2131021003222112 is an apocalyptic number.

131021003222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131021003222112 is an abundant number, since it is smaller than the sum of its proper divisors (234394190765088).

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

131021003222112 is a wasteful number, since it uses less digits than its factorization.

131021003222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671324348 (or 671324340 counting only the distinct ones).

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

Adding to 131021003222112 its reverse (211222300120131), we get a palindrome (342243303342243).

The spelling of 131021003222112 in words is "one hundred thirty-one trillion, twenty-one billion, three million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 107 114 152 214 228 304 321 428 456 608 642 856 912 1284 1712 1824 2033 2568 3424 4066 5136 6099 8132 10272 12198 16264 24396 32528 48792 65056 97584 195168 671324209 1342648418 2013972627 2685296836 4027945254 5370593672 8055890508 10741187344 12755159971 16111781016 21482374688 25510319942 32223562032 38265479913 51020639884 64447124064 71831690363 76530959826 102041279768 143663380726 153061919652 204082559536 215495071089 287326761452 306123839304 408165119072 430990142178 574653522904 612247678608 861980284356 1149307045808 1224495357216 1364802116897 1723960568712 2298614091616 2729604233794 3447921137424 4094406350691 5459208467588 6895842274848 8188812701382 10918416935176 16377625402764 21836833870352 32755250805528 43673667740704 65510501611056 131021003222112