Search a number
-
+
3213312111324 = 2232731154175787
BaseRepresentation
bin101110110000101000010…
…100111011001011011100
3102101012010020122021122200
4232300220110323023130
5410121330400030244
610500101502211500
7451103604200220
oct56605024731334
912335106567580
103213312111324
111029837a09177
1243a917883b90
131a4024a9c413
14b174cd8a780
15588bb71c669
hex2ec2853b2dc

3213312111324 has 144 divisors (see below), whose sum is σ = 9330087277056. Its totient is φ = 913433500800.

The previous prime is 3213312111257. The next prime is 3213312111337. The reversal of 3213312111324 is 4231112133123.

3213312111324 is a `hidden beast` number, since 3 + 2 + 1 + 331 + 2 + 1 + 1 + 1 + 324 = 666.

3213312111324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42361359 + ... + 42437145.

Almost surely, 23213312111324 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 3213312111324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665043638528).

3213312111324 is an abundant number, since it is smaller than the sum of its proper divisors (6116775165732).

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

3213312111324 is a wasteful number, since it uses less digits than its factorization.

3213312111324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76656 (or 76651 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 3213312111324 its reverse (4231112133123), we get a palindrome (7444424244447).

The spelling of 3213312111324 in words is "three trillion, two hundred thirteen billion, three hundred twelve million, one hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 311 541 622 933 1082 1244 1623 1866 2164 2177 2799 3246 3732 3787 4354 4869 5598 6492 6531 7574 8708 9738 11196 11361 13062 15148 19476 19593 22722 26124 34083 39186 45444 68166 75787 78372 136332 151574 168251 227361 303148 336502 454722 504753 530509 673004 682083 909444 1009506 1061018 1177757 1364166 1514259 1591527 2019012 2122036 2355514 2728332 3028518 3183054 3533271 4711028 4774581 6057036 6366108 7066542 9549162 10599813 14133084 19098324 21199626 23569757 41000767 42399252 47139514 70709271 82001534 94279028 123002301 141418542 164003068 164988299 212127813 246004602 282837084 287005369 329976598 369006903 424255626 492009204 494964897 574010738 659953196 738013806 848511252 861016107 989929794 1148021476 1476027612 1484894691 1722032214 1979859588 2583048321 2969789382 3444064428 5166096642 5939578764 10332193284 12751238537 25502477074 38253715611 51004954148 76507431222 89258669759 114761146833 153014862444 178517339518 229522293666 267776009277 357034679036 459044587332 535552018554 803328027831 1071104037108 1606656055662 3213312111324