Search a number
-
+
30212332033212 = 223276114447136043
BaseRepresentation
bin1101101111010010110110…
…10100011001010010111100
310221222021022100212122021100
412313221123110121102330
512424444324000030322
6144131204223333100
76235524516033630
oct667513324312274
9127867270778240
1030212332033212
119698a8388733a
12347b428a51190
1313b201a6282a4
147663db1dadc0
15375d5ac08dac
hex1b7a5b5194bc

30212332033212 has 144 divisors (see below), whose sum is σ = 88717683704832. Its totient is φ = 8489935002240.

The previous prime is 30212332033189. The next prime is 30212332033217. The reversal of 30212332033212 is 21233023321203.

30212332033212 is a `hidden beast` number, since 3 + 0 + 2 + 1 + 2 + 3 + 320 + 332 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30212332033217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222011263 + ... + 222147305.

It is an arithmetic number, because the mean of its divisors is an integer number (616095025728).

Almost surely, 230212332033212 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 30212332033212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44358841852416).

30212332033212 is an abundant number, since it is smaller than the sum of its proper divisors (58505351671620).

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

30212332033212 is a wasteful number, since it uses less digits than its factorization.

30212332033212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150568 (or 150563 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 30212332033212 its reverse (21233023321203), we get a palindrome (51445355354415).

The spelling of 30212332033212 in words is "thirty trillion, two hundred twelve billion, three hundred thirty-two million, thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 549 732 854 1098 1281 1708 2196 2562 3843 5124 7686 14447 15372 28894 43341 57788 86682 101129 130023 136043 173364 202258 260046 272086 303387 404516 408129 520092 544172 606774 816258 881267 910161 952301 1213548 1224387 1632516 1762534 1820322 1904602 2448774 2643801 2856903 3525068 3640644 3809204 4897548 5287602 5713806 6168869 7931403 8298623 8570709 10575204 11427612 12337738 15862806 16597246 17141418 18506607 24675476 24895869 31725612 33194492 34282836 37013214 49791738 55519821 58090361 74026428 74687607 99583476 111039642 116180722 149375214 174271083 222079284 232361444 298750428 348542166 522813249 697084332 1045626498 1965413221 2091252996 3930826442 5896239663 7861652884 11792479326 13757892547 17688718989 23584958652 27515785094 35377437978 41273677641 55031570188 70754875956 82547355282 119890206481 123821032923 165094710564 239780412962 247642065846 359670619443 479560825924 495284131692 719341238886 839231445367 1079011858329 1438682477772 1678462890734 2158023716658 2517694336101 3356925781468 4316047433316 5035388672202 7553083008303 10070777344404 15106166016606 30212332033212