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103103132022 = 232111377575021
BaseRepresentation
bin110000000000101101…
…1001111000101110110
3100212010102201210010100
41200001123033011312
53142123400211042
6115210453534530
710306664106432
oct1400133170566
9325112653110
10103103132022
113a7a9037120
1217b95044446
139951693237
144dc12319c2
152a368a124c
hex18016cf176

103103132022 has 96 divisors (see below), whose sum is σ = 245850362784. Its totient is φ = 30968179200.

The previous prime is 103103131993. The next prime is 103103132053. The reversal of 103103132022 is 220231301301.

103103132022 is a `hidden beast` number, since 1 + 0 + 310 + 31 + 320 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103103131986 and 103103132004.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20531872 + ... + 20536892.

It is an arithmetic number, because the mean of its divisors is an integer number (2560941279).

Almost surely, 2103103132022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103103132022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122925181392).

103103132022 is an abundant number, since it is smaller than the sum of its proper divisors (142747230762).

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

103103132022 is a wasteful number, since it uses less digits than its factorization.

103103132022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5934 (or 5931 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103103132022 its reverse (220231301301), we get a palindrome (323334433323).

The spelling of 103103132022 in words is "one hundred three billion, one hundred three million, one hundred thirty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 137 198 274 411 757 822 1233 1507 1514 2271 2466 3014 4521 4542 5021 6813 8327 9042 10042 13563 13626 15063 16654 24981 27126 30126 45189 49962 55231 74943 90378 103709 110462 149886 165693 207418 311127 331386 497079 622254 687877 933381 994158 1140799 1375754 1866762 2063631 2281598 3422397 3800897 4127262 6190893 6844794 7566647 7601794 10267191 11402691 12381786 15133294 20534382 22699941 22805382 34208073 41809867 45399882 68099823 68416146 83619734 125429601 136199646 250859202 376288803 520722889 752577606 1041445778 1562168667 3124337334 4686506001 5727951779 9373012002 11455903558 17183855337 34367710674 51551566011 103103132022