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231232102101 = 327111337693697
BaseRepresentation
bin1101011101011010000…
…0011101111011010101
3211002211221222212012200
43113112200131323111
512242030404231401
6254120534235113
722464101303160
oct3272640357325
9732757885180
10231232102101
118a079547830
12389931b5a99
1318a60a38470
14b298014ad7
15603532a686
hex35d681ded5

231232102101 has 96 divisors (see below), whose sum is σ = 460571075328. Its totient is φ = 107883601920.

The previous prime is 231232102063. The next prime is 231232102133. The reversal of 231232102101 is 101201232132.

231232102101 is a `hidden beast` number, since 231 + 232 + 102 + 101 = 666.

It is not a de Polignac number, because 231232102101 - 211 = 231232100053 is a prime.

It is a super-2 number, since 2×2312321021012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231232100101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13516 + ... + 680181.

It is an arithmetic number, because the mean of its divisors is an integer number (4797615368).

Almost surely, 2231232102101 is an apocalyptic number.

231232102101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

231232102101 is a deficient number, since it is larger than the sum of its proper divisors (229338973227).

231232102101 is a wasteful number, since it uses less digits than its factorization.

231232102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693771 (or 693768 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 231232102101 its reverse (101201232132), we get a palindrome (332433334233).

It can be divided in two parts, 231232 and 102101, that added together give a palindrome (333333).

The spelling of 231232102101 in words is "two hundred thirty-one billion, two hundred thirty-two million, one hundred two thousand, one hundred one".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 143 231 259 273 333 407 429 481 693 777 819 1001 1221 1287 1443 2331 2849 3003 3367 3663 4329 5291 8547 9009 10101 15873 25641 30303 37037 47619 111111 333333 693697 2081091 4855879 6243273 7630667 9018061 14567637 22892001 25666789 27054183 43702911 53414669 63126427 68676003 77000367 81162549 99198671 160244007 179667523 189379281 231001101 282334679 297596013 333668257 480732021 539002569 568137843 694390697 847004037 892788039 1001004771 1617007707 1976342753 2083172091 2335677799 2541012111 3003014313 3670350827 5929028259 6249516273 7007033397 11011052481 17787084777 21021100191 25692455789 33033157443 77077367367 231232102101