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103350696072 = 233133710938191
BaseRepresentation
bin110000001000000101…
…1100111100010001000
3100212202200120100011020
41200100023213202020
53143130234233242
6115251220032440
710316061264501
oct1402013474210
9325680510136
10103350696072
113a915856708
1218043b32720
139990a61c40
145006075ba8
152a4d4a36ec
hex18102e7888

103350696072 has 128 divisors (see below), whose sum is σ = 286068572160. Its totient is φ = 30908666880.

The previous prime is 103350695999. The next prime is 103350696073. The reversal of 103350696072 is 270696053301.

It is not an unprimeable number, because it can be changed into a prime (103350696073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12613497 + ... + 12621687.

It is an arithmetic number, because the mean of its divisors is an integer number (2234910720).

Almost surely, 2103350696072 is an apocalyptic number.

103350696072 is a gapful number since it is divisible by the number (12) 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 103350696072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143034286080).

103350696072 is an abundant number, since it is smaller than the sum of its proper divisors (182717876088).

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

103350696072 is a wasteful number, since it uses less digits than its factorization.

103350696072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9343 (or 9339 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 103350696072 in words is "one hundred three billion, three hundred fifty million, six hundred ninety-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1093 1443 1924 2186 2886 3279 3848 4372 5772 6558 8191 8744 11544 13116 14209 16382 24573 26232 28418 32764 40441 42627 49146 56836 65528 80882 85254 98292 106483 113672 121323 161764 170508 196584 212966 242646 303067 319449 323528 341016 425932 485292 525733 606134 638898 851864 909201 970584 1051466 1212268 1277796 1577199 1818402 2102932 2424536 2555592 3154398 3636804 3939871 4205864 6308796 7273608 7879742 8952763 11819613 12617592 15759484 17905526 23639226 26858289 31518968 35811052 47278452 53716578 71622104 94556904 107433156 116385919 214866312 232771838 331252231 349157757 465543676 662504462 698315514 931087352 993756693 1325008924 1396631028 1987513386 2650017848 2793262056 3975026772 4306279003 7950053544 8612558006 12918837009 17225116012 25837674018 34450232024 51675348036 103350696072