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100001603080 = 23517677872789
BaseRepresentation
bin101110100100010001…
…1110101111000001000
3100120010021122210021001
41131020203311320020
53114300402244310
6113535021224344
710140063413131
oct1351043657010
9316107583231
10100001603080
1139457330565
121746a4020b4
139578c51302
144ba935ac88
15290445493a
hex17488f5e08

100001603080 has 128 divisors (see below), whose sum is σ = 242188963200. Its totient is φ = 37025353728.

The previous prime is 100001603077. The next prime is 100001603081. The reversal of 100001603080 is 80306100001.

It is not an unprimeable number, because it can be changed into a prime (100001603081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35854326 + ... + 35857114.

It is an arithmetic number, because the mean of its divisors is an integer number (1892101275).

Almost surely, 2100001603080 is an apocalyptic number.

100001603080 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 100001603080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121094481600).

100001603080 is an abundant number, since it is smaller than the sum of its proper divisors (142187360120).

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

100001603080 is a wasteful number, since it uses less digits than its factorization.

100001603080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100001603080 its reverse (80306100001), we get a palindrome (180307703081).

The spelling of 100001603080 in words is "one hundred billion, one million, six hundred three thousand, eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 67 68 85 134 136 170 268 335 340 536 670 680 787 1139 1340 1574 2278 2680 2789 3148 3935 4556 5578 5695 6296 7870 9112 11156 11390 13379 13945 15740 22312 22780 26758 27890 31480 45560 47413 52729 53516 55780 66895 94826 105458 107032 111560 133790 186863 189652 210916 237065 263645 267580 373726 379304 421832 474130 527290 535160 747452 896393 934315 948260 1054580 1494904 1792786 1868630 1896520 2109160 2194943 3176671 3585572 3737260 4389886 4481965 6353342 7171144 7474520 8779772 8963930 10974715 12706684 15883355 17559544 17927860 21949430 25413368 31766710 35855720 37314031 43898860 63533420 74628062 87797720 127066840 147061181 149256124 186570155 294122362 298512248 373140310 588244724 735305905 746280620 1176489448 1470611810 1492561240 2500040077 2941223620 5000080154 5882447240 10000160308 12500200385 20000320616 25000400770 50000801540 100001603080