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103322233332 = 22322870062037
BaseRepresentation
bin110000000111001111…
…1000010100111110100
3100212200201000021121200
41200032133002213310
53143100442431312
6115244322012500
710315264330653
oct1401637024764
9325621007550
10103322233332
113a90078618a
12180364a7130
139987ba7896
14500238719a
152a4ac300dc
hex180e7c29f4

103322233332 has 18 divisors (see below), whose sum is σ = 261175645458. Its totient is φ = 34440744432.

The previous prime is 103322233331. The next prime is 103322233363. The reversal of 103322233332 is 233332223301.

103322233332 is a `hidden beast` number, since 1 + 0 + 3 + 322 + 2 + 3 + 3 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94523042916 + 8799190416 = 307446^2 + 93804^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 103322233296 and 103322233305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103322233331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1435030983 + ... + 1435031054.

It is an arithmetic number, because the mean of its divisors is an integer number (14509758081).

Almost surely, 2103322233332 is an apocalyptic number.

103322233332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103322233332 is an abundant number, since it is smaller than the sum of its proper divisors (157853412126).

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

103322233332 is a wasteful number, since it uses less digits than its factorization.

103322233332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870062047 (or 2870062042 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 103322233332 its reverse (233332223301), we get a palindrome (336654456633).

The spelling of 103322233332 in words is "one hundred three billion, three hundred twenty-two million, two hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2870062037 5740124074 8610186111 11480248148 17220372222 25830558333 34440744444 51661116666 103322233332