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232413212031 = 37111337256533
BaseRepresentation
bin1101100001110011101…
…0000010110101111111
3211012220021110110102220
43120130322002311333
512301440240241111
6254434045420423
722535262464310
oct3303472026577
9735807413386
10232413212031
118a625221140
123906286a713
1318bbb647790
14b36ac28607
1560a3d83e06
hex361ce82d7f

232413212031 has 96 divisors (see below), whose sum is σ = 427624985088. Its totient is φ = 108432898560.

The previous prime is 232413212029. The next prime is 232413212033. The reversal of 232413212031 is 130212314232.

It is an interprime number because it is at equal distance from previous prime (232413212029) and next prime (232413212033).

It is not a de Polignac number, because 232413212031 - 21 = 232413212029 is a prime.

It is a super-2 number, since 2×2324132120312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232413211992 and 232413212010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232413212033) 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, 4082841 + ... + 4139373.

It is an arithmetic number, because the mean of its divisors is an integer number (4454426928).

Almost surely, 2232413212031 is an apocalyptic number.

232413212031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

232413212031 is a deficient number, since it is larger than the sum of its proper divisors (195211773057).

232413212031 is a wasteful number, since it uses less digits than its factorization.

232413212031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56641 (or 56604 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 232413212031 its reverse (130212314232), we get a palindrome (362625526263).

It can be divided in two parts, 232413 and 212031, that added together give a palindrome (444444).

The spelling of 232413212031 in words is "two hundred thirty-two billion, four hundred thirteen million, two hundred twelve thousand, thirty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1369 1443 2849 3003 3367 4107 5291 8547 9583 10101 15059 15873 17797 28749 37037 45177 53391 56533 105413 111111 124579 169599 195767 316239 373737 395731 587301 621863 734929 1187193 1370369 1865589 2091721 2204787 4111107 4353041 5144503 6275163 8084219 13059123 14642047 15433509 23008931 24252657 27192373 43926141 56589533 69026793 77393677 81577119 161062517 169768599 190346611 232181031 299116103 483187551 541755739 571039833 851330447 897348309 1006117801 1625267217 2093812721 2553991341 3018353403 5959313129 6281438163 7042824607 11067295811 17877939387 21128473821 33201887433 77471070677 232413212031