Search a number
-
+
33300022011132 = 22319732338586791
BaseRepresentation
bin1111001001001010000111…
…11110111010010011111100
311100220110011210022100021110
413210211003332322103330
513331041421113324012
6154453452515402020
710004563405562232
oct744450376722374
9140813153270243
1033300022011132
11a679507328348
123899925bb3310
131577242506696
14831a302b4952
153cb323ac873c
hex1e4943fba4fc

33300022011132 has 96 divisors (see below), whose sum is σ = 83265778552320. Its totient is φ = 10327229291520.

The previous prime is 33300022011119. The next prime is 33300022011161. The reversal of 33300022011132 is 23111022000333.

It is a super-2 number, since 2×333000220111322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33300022011099 and 33300022011108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415344 + ... + 8171447.

It is an arithmetic number, because the mean of its divisors is an integer number (867351859920).

Almost surely, 233300022011132 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 33300022011132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41632889276160).

33300022011132 is an abundant number, since it is smaller than the sum of its proper divisors (49965756541188).

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

33300022011132 is a wasteful number, since it uses less digits than its factorization.

33300022011132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8587123 (or 8587121 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 33300022011132 its reverse (23111022000333), we get a palindrome (56411044011465).

The spelling of 33300022011132 in words is "thirty-three trillion, three hundred billion, twenty-two million, eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 73 76 114 146 219 228 233 292 438 466 699 876 932 1387 1398 2774 2796 4161 4427 5548 8322 8854 13281 16644 17009 17708 26562 34018 51027 53124 68036 102054 204108 323171 646342 969513 1292684 1939026 3878052 8586791 17173582 25760373 34347164 51520746 103041492 163149029 326298058 489447087 626835743 652596116 978894174 1253671486 1880507229 1957788348 2000722303 2507342972 3761014458 4001444606 6002166909 7522028916 8002889212 11909879117 12004333818 23819758234 24008667636 35729637351 38013723757 47639516468 71459274702 76027447514 114041171271 142918549404 146052728119 152054895028 228082342542 292105456238 438158184357 456164685084 584210912476 876316368714 1752632737428 2775001834261 5550003668522 8325005502783 11100007337044 16650011005566 33300022011132