Search a number
-
+
332213211330231 = 372113113553489001
BaseRepresentation
bin100101110001001010110101…
…0011100110111011010110111
31121120021021100220012222211210
41023202111222130313122313
5322020440124100031411
63134320350431132503
7126655420034113200
oct11342255234673267
91546237326188753
10332213211330231
11969429170194a0
1231315190374133
131134a7574bc75a
145c072c31b05a7
152861964832ca6
hex12e256a7376b7

332213211330231 has 96 divisors (see below), whose sum is σ = 580288799471616. Its totient is φ = 166998585600000.

The previous prime is 332213211330223. The next prime is 332213211330277. The reversal of 332213211330231 is 132033112312233.

It is not a de Polignac number, because 332213211330231 - 23 = 332213211330223 is a prime.

It is a super-2 number, since 2×3322132113302312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332213211330131) 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, 679126731 + ... + 679615731.

It is an arithmetic number, because the mean of its divisors is an integer number (6044674994496).

Almost surely, 2332213211330231 is an apocalyptic number.

332213211330231 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

332213211330231 is a deficient number, since it is larger than the sum of its proper divisors (248075588141385).

332213211330231 is a wasteful number, since it uses less digits than its factorization.

332213211330231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502613 (or 502606 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 332213211330231 its reverse (132033112312233), we get a palindrome (464246323642464).

The spelling of 332213211330231 in words is "three hundred thirty-two trillion, two hundred thirteen billion, two hundred eleven million, three hundred thirty thousand, two hundred thirty-one".

Divisors: 1 3 7 11 21 31 33 49 77 93 147 217 231 341 539 651 1023 1519 1617 2387 4557 7161 13553 16709 40659 50127 94871 149083 284613 420143 447249 489001 664097 1043581 1260429 1467003 1992291 2941001 3130743 3423007 4621573 5379011 7305067 8823003 10269021 13864719 15159031 16137033 20587007 21915201 23961049 32351011 37653077 45477093 61761021 71883147 97053033 106113217 112959231 166749341 226457077 263571539 318339651 500248023 679371231 742792519 790714617 1167245387 2228377557 3501736161 6627430553 8170717709 19882291659 24512153127 46392013871 72901736083 139176041613 205450347143 218705208249 324744097097 510312152581 616351041429 974232291291 1438152430001 1530936457743 2259953818573 3572185068067 4314457290003 6779861455719 10067067010007 10716555204201 15819676730011 30201201030021 47459030190033 110737737110077 332213211330231