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320211231312232 = 2313103118725183453
BaseRepresentation
bin100100011001110101111110…
…0101100100000100101101000
31112222202220011021101112222101
41020303223330230200211220
5313432320100203442412
63053011001530303144
7124306332551161351
oct11063537454404550
91488686137345871
10320211231312232
1193035903205887
122bab70b9587ab4
1310989a358309b0
145910440658d28
152704667b9a457
hex1233afcb20968

320211231312232 has 64 divisors (see below), whose sum is σ = 653407882807680. Its totient is φ = 146231642656512.

The previous prime is 320211231312199. The next prime is 320211231312253. The reversal of 320211231312232 is 232213132112023.

It is a self number, because there is not a number n which added to its sum of digits gives 320211231312232.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 123418 + ... + 25306870.

It is an arithmetic number, because the mean of its divisors is an integer number (10209498168870).

Almost surely, 2320211231312232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320211231312232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326703941403840).

320211231312232 is an abundant number, since it is smaller than the sum of its proper divisors (333196651495448).

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

320211231312232 is a wasteful number, since it uses less digits than its factorization.

320211231312232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25184762 (or 25184758 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 320211231312232 its reverse (232213132112023), we get a palindrome (552424363424255).

The spelling of 320211231312232 in words is "three hundred twenty trillion, two hundred eleven billion, two hundred thirty-one million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 103 104 206 412 824 1187 1339 2374 2678 4748 5356 9496 10712 15431 30862 61724 122261 123448 244522 489044 978088 1589393 3178786 6357572 12715144 25183453 50366906 100733812 201467624 327384889 654769778 1309539556 2593895659 2619079112 5187791318 10375582636 20751165272 29892758711 33720643567 59785517422 67441287134 119571034844 134882574268 239142069688 269765148536 388605863243 777211726486 1554423452972 3078954147233 3108846905944 6157908294466 12315816588932 24631633177864 40026403914029 80052807828058 160105615656116 320211231312232