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103321320032 = 2572313210523
BaseRepresentation
bin110000000111001101…
…1100011101001100000
3100212200122021212210202
41200032123203221200
53143100224220112
6115244250244332
710315253505200
oct1401633435140
9325618255722
10103321320032
113a900211a97
12180361266a8
139987947c78
1450021ca400
152a4aaee6c2
hex180e6e3a60

103321320032 has 72 divisors (see below), whose sum is σ = 237381388776. Its totient is φ = 44138884608.

The previous prime is 103321320029. The next prime is 103321320041. The reversal of 103321320032 is 230023123301.

It is a junction number, because it is equal to n+sod(n) for n = 103321319986 and 103321320013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 385523 + ... + 596045.

It is an arithmetic number, because the mean of its divisors is an integer number (3296963733).

Almost surely, 2103321320032 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 103321320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118690694388).

103321320032 is an abundant number, since it is smaller than the sum of its proper divisors (134060068744).

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

103321320032 is a wasteful number, since it uses less digits than its factorization.

103321320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210860 (or 210845 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 103321320032 its reverse (230023123301), we get a palindrome (333344443333).

The spelling of 103321320032 in words is "one hundred three billion, three hundred twenty-one million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 313 392 626 784 1252 1568 2191 2504 4382 5008 8764 10016 15337 17528 30674 35056 61348 70112 122696 210523 245392 421046 490784 842092 1473661 1684184 2947322 3368368 5894644 6736736 10315627 11789288 20631254 23578576 41262508 47157152 65893699 82525016 131787398 165050032 263574796 330100064 461255893 527149592 922511786 1054299184 1845023572 2108598368 3228791251 3690047144 6457582502 7380094288 12915165004 14760188576 25830330008 51660660016 103321320032