Search a number
-
+
31013230110112 = 2517597039137273
BaseRepresentation
bin1110000110100110101001…
…00100000110010110100000
311001210211120022220102011101
413003103110210012112200
513031110043402010422
6145543140424524144
76350426516254645
oct703232444062640
9131724508812141
1031013230110112
11997770097a548
12358a6a4020654
13143c6c5676bc3
1479309693bdcc
1538bad2c97c27
hex1c34d49065a0

31013230110112 has 96 divisors (see below), whose sum is σ = 65754465638400. Its totient is φ = 14344954748928.

The previous prime is 31013230110101. The next prime is 31013230110127. The reversal of 31013230110112 is 21101103231013.

It is a self number, because there is not a number n which added to its sum of digits gives 31013230110112.

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, 225855108 + ... + 225992380.

It is an arithmetic number, because the mean of its divisors is an integer number (684942350400).

Almost surely, 231013230110112 is an apocalyptic number.

31013230110112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31013230110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32877232819200).

31013230110112 is an abundant number, since it is smaller than the sum of its proper divisors (34741235528288).

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

31013230110112 is a wasteful number, since it uses less digits than its factorization.

31013230110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144398 (or 144390 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 31013230110112 its reverse (21101103231013), we get a palindrome (52114333341125).

The spelling of 31013230110112 in words is "thirty-one trillion, thirteen billion, two hundred thirty million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 59 68 118 136 236 272 472 544 944 1003 1888 2006 4012 7039 8024 14078 16048 28156 32096 56312 112624 119663 137273 225248 239326 274546 415301 478652 549092 830602 957304 1098184 1661204 1914608 2196368 2333641 3322408 3829216 4392736 4667282 6644816 7060117 8099107 9334564 13289632 14120234 16198214 18669128 28240468 32396428 37338256 56480936 64792856 74676512 112961872 129585712 137684819 225923744 259171424 275369638 550739276 966264647 1101478552 1932529294 2202957104 3865058588 4405914208 7730117176 15460234352 16426498999 30920468704 32852997998 57009614173 65705995996 114019228346 131411991992 228038456692 262823983984 456076913384 525647967968 912153826768 969163440941 1824307653536 1938326881882 3876653763764 7753307527528 15506615055056 31013230110112