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11301301203332 = 2272236133408763
BaseRepresentation
bin1010010001110100101000…
…0010110011000110000100
31111000101122010000200110112
42210131022002303012010
52440130031102001312
640011425054012152
72244330531150500
oct244351202630604
944011563020415
1011301301203332
1136679449a5568
121326326aa7058
1363c9289bc55a
142b0db342d300
15148e8d1e4d22
hexa474a0b3184

11301301203332 has 72 divisors (see below), whose sum is σ = 24010463808576. Its totient is φ = 4632064823232.

The previous prime is 11301301203319. The next prime is 11301301203337. The reversal of 11301301203332 is 23330210310311.

It is a super-2 number, since 2×113013012033322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 11301301203298 and 11301301203307.

It is not an unprimeable number, because it can be changed into a prime (11301301203337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27443183 + ... + 27851945.

It is an arithmetic number, because the mean of its divisors is an integer number (333478664008).

Almost surely, 211301301203332 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 11301301203332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12005231904288).

11301301203332 is an abundant number, since it is smaller than the sum of its proper divisors (12709162605244).

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

11301301203332 is a wasteful number, since it uses less digits than its factorization.

11301301203332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414937 (or 414928 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 11301301203332 its reverse (23330210310311), we get a palindrome (34631511513643).

The spelling of 11301301203332 in words is "eleven trillion, three hundred one billion, three hundred one million, two hundred three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 644 1127 2254 4508 6133 12266 24532 42931 85862 141059 171724 282118 300517 408763 564236 601034 817526 987413 1202068 1635052 1974826 2861341 3949652 5722682 6911891 9401549 11445364 13823782 18803098 20029387 27647564 37606196 40058774 65810843 80117548 131621686 263243372 460675901 921351802 1842703604 2506943479 5013886958 10027773916 17548604353 35097208706 57659700017 70194417412 115319400034 122840230471 230638800068 245680460942 403617900119 491360921884 807235800238 1614471600476 2825325300833 5650650601666 11301301203332