Search a number
-
+
231320303412 = 223119740145053
BaseRepresentation
bin1101011101101111000…
…0111011011100110100
3211010002002221221122220
43113123300323130310
512242220444202122
6254133404522340
722466222064642
oct3273360733464
9733062857586
10231320303412
118a11430a780
12389b88503b0
1318a760aa7a3
14b2a5a14192
15603ce4e25c
hex35dbc3b734

231320303412 has 96 divisors (see below), whose sum is σ = 596382321024. Its totient is φ = 69199872000.

The previous prime is 231320303411. The next prime is 231320303413. The reversal of 231320303412 is 214303023132.

It is an interprime number because it is at equal distance from previous prime (231320303411) and next prime (231320303413).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231320303411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5111878 + ... + 5156930.

It is an arithmetic number, because the mean of its divisors is an integer number (6212315844).

Almost surely, 2231320303412 is an apocalyptic number.

231320303412 is a gapful number since it is divisible by the number (22) 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 231320303412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298191160512).

231320303412 is an abundant number, since it is smaller than the sum of its proper divisors (365062017612).

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

231320303412 is a wasteful number, since it uses less digits than its factorization.

231320303412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45569 (or 45567 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 231320303412 its reverse (214303023132), we get a palindrome (445623326544).

The spelling of 231320303412 in words is "two hundred thirty-one billion, three hundred twenty million, three hundred three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 401 582 802 1067 1164 1203 1604 2134 2406 3201 4268 4411 4812 6402 8822 12804 13233 17644 26466 38897 45053 52932 77794 90106 116691 135159 155588 180212 233382 270318 427867 466764 495583 540636 855734 991166 1283601 1486749 1711468 1982332 2567202 2973498 4370141 5134404 5946996 8740282 13110423 17480564 18066253 26220846 36132506 48071551 52441692 54198759 72265012 96143102 108397518 144214653 192286204 198728783 216795036 288429306 397457566 576858612 596186349 794915132 1192372698 1752426541 2384745396 3504853082 5257279623 7009706164 10514559246 19276691951 21029118492 38553383902 57830075853 77106767804 115660151706 231320303412