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103133031320 = 235111923599091
BaseRepresentation
bin110000000001100110…
…1010010101110011000
3100212012111222211020202
41200003031102232120
53142204024000240
6115213442441332
710310506205414
oct1400315225630
9325174884222
10103133031320
113a8139a8990
1217ba3063248
139957931427
144dc51b5d44
152a3930a315
hex1803352b98

103133031320 has 256 divisors, whose sum is σ = 282797568000. Its totient is φ = 33404659200.

The previous prime is 103133031307. The next prime is 103133031341. The reversal of 103133031320 is 23130331301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103133031292 and 103133031301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11339975 + ... + 11349065.

It is an arithmetic number, because the mean of its divisors is an integer number (1104678000).

Almost surely, 2103133031320 is an apocalyptic number.

103133031320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103133031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141398784000).

103133031320 is an abundant number, since it is smaller than the sum of its proper divisors (179664536680).

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

103133031320 is a wasteful number, since it uses less digits than its factorization.

103133031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9214 (or 9210 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 103133031320 its reverse (23130331301), we get a palindrome (126263362621).

The spelling of 103133031320 in words is "one hundred three billion, one hundred thirty-three million, thirty-one thousand, three hundred twenty".