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103531662048 = 25329110933533
BaseRepresentation
bin110000001101011110…
…1111100101011100000
3100220020022002100210210
41200122331330223200
53144013101141143
6115321202454120
710323416415213
oct1403275745340
9326208070723
10103531662048
113a9a8a19071
1218094664340
1399bc3b36b9
14502210177a
152a5e2ed033
hex181af7cae0

103531662048 has 96 divisors (see below), whose sum is σ = 281403914400. Its totient is φ = 33289496576.

The previous prime is 103531661983. The next prime is 103531662079. The reversal of 103531662048 is 840266135301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 103531661997 and 103531662015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3070690 + ... + 3104222.

It is an arithmetic number, because the mean of its divisors is an integer number (2931290775).

Almost surely, 2103531662048 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 103531662048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140701957200).

103531662048 is an abundant number, since it is smaller than the sum of its proper divisors (177872252352).

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

103531662048 is a wasteful number, since it uses less digits than its factorization.

103531662048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34684 (or 34676 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

Adding to 103531662048 its reverse (840266135301), we get a palindrome (943797797349).

The spelling of 103531662048 in words is "one hundred three billion, five hundred thirty-one million, six hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1109 1392 2218 2784 3327 4436 6654 8872 13308 17744 26616 32161 33533 35488 53232 64322 67066 96483 100599 106464 128644 134132 192966 201198 257288 268264 385932 402396 514576 536528 771864 804792 972457 1029152 1073056 1543728 1609584 1944914 2917371 3087456 3219168 3889828 5834742 7779656 11669484 15559312 23338968 31118624 37188097 46677936 74376194 93355872 111564291 148752388 223128582 297504776 446257164 595009552 892514328 1078454813 1190019104 1785028656 2156909626 3235364439 3570057312 4313819252 6470728878 8627638504 12941457756 17255277008 25882915512 34510554016 51765831024 103531662048