Search a number
-
+
11322311023332 = 2235371392264917
BaseRepresentation
bin1010010011000010111001…
…0100111001101011100100
31111002101212022201010100000
42210300232110321223210
52441001043110221312
640025221535221300
72246003264525151
oct244605624715344
944071768633300
1011322311023332
113675846445271
12132a40b077830
136418c6661cca
142b200789b228
151497bc931adc
hexa4c2e539ae4

11322311023332 has 144 divisors (see below), whose sum is σ = 30701778860480. Its totient is φ = 3645681270912.

The previous prime is 11322311023321. The next prime is 11322311023351. The reversal of 11322311023332 is 23332011322311.

11322311023332 is a `hidden beast` number, since 1 + 1 + 3 + 223 + 1 + 102 + 3 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11322311023296 and 11322311023305.

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, 3866538 + ... + 6131454.

Almost surely, 211322311023332 is an apocalyptic number.

11322311023332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322311023332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15350889430240).

11322311023332 is an abundant number, since it is smaller than the sum of its proper divisors (19379467837148).

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

11322311023332 is a wasteful number, since it uses less digits than its factorization.

11322311023332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265112 (or 2265098 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11322311023332 its reverse (23332011322311), we get a palindrome (34654322345643).

The spelling of 11322311023332 in words is "eleven trillion, three hundred twenty-two billion, three hundred eleven million, twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 139 148 162 222 243 278 324 333 417 444 486 556 666 834 972 999 1251 1332 1668 1998 2502 2997 3753 3996 5004 5143 5994 7506 8991 10286 11259 11988 15012 15429 17982 20572 22518 30858 33777 35964 45036 46287 61716 67554 92574 135108 138861 185148 277722 416583 555444 833166 1249749 1666332 2264917 2499498 4529834 4998996 6794751 9059668 13589502 20384253 27179004 40768506 61152759 81537012 83801929 122305518 167603858 183458277 244611036 251405787 314823463 335207716 366916554 502811574 550374831 629646926 733833108 754217361 944470389 1005623148 1100749662 1259293852 1508434722 1888940778 2201499324 2262652083 2833411167 3016869444 3777881556 4525304166 5666822334 6787956249 8500233501 9050608332 11333644668 11648468131 13575912498 17000467002 20363868747 23296936262 25500700503 27151824996 34000934004 34945404393 40727737494 46593872524 51001401006 69890808786 76502101509 81455474988 102002802012 104836213179 139781617572 153004203018 209672426358 306008406036 314508639537 419344852716 629017279074 943525918611 1258034558148 1887051837222 2830577755833 3774103674444 5661155511666 11322311023332