Search a number
-
+
100498111296 = 2631169168863
BaseRepresentation
bin101110110011000100…
…1110111101101000000
3100121101212221000111020
41131212021313231000
53121310004030141
6114100155145440
710155302565012
oct1354611675500
9317355830436
10100498111296
1139691622530
1217588745280
139627a82c5b
144c152841b2
152932d2d266
hex1766277b40

100498111296 has 112 divisors (see below), whose sum is σ = 290498101248. Its totient is φ = 30409459200.

The previous prime is 100498111279. The next prime is 100498111303. The reversal of 100498111296 is 692111894001.

It is a super-3 number, since 3×1004981112963 (a number of 34 digits) contains 333 as substring.

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, 1424961 + ... + 1493823.

Almost surely, 2100498111296 is an apocalyptic number.

100498111296 is a gapful number since it is divisible by the number (16) 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 100498111296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145249050624).

100498111296 is an abundant number, since it is smaller than the sum of its proper divisors (189999989952).

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

100498111296 is a wasteful number, since it uses less digits than its factorization.

100498111296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69580 (or 69570 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The spelling of 100498111296 in words is "one hundred billion, four hundred ninety-eight million, one hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 691 704 1056 1382 2073 2112 2764 4146 5528 7601 8292 11056 15202 16584 22112 22803 30404 33168 44224 45606 60808 66336 68863 91212 121616 132672 137726 182424 206589 243232 275452 364848 413178 486464 550904 729696 757493 826356 1101808 1459392 1514986 1652712 2203616 2272479 3029972 3305424 4407232 4544958 6059944 6610848 9089916 12119888 13221696 18179832 24239776 36359664 47584333 48479552 72719328 95168666 142752999 145438656 190337332 285505998 380674664 523427663 571011996 761349328 1046855326 1142023992 1522698656 1570282989 2093710652 2284047984 3045397312 3140565978 4187421304 4568095968 6281131956 8374842608 9136191936 12562263912 16749685216 25124527824 33499370432 50249055648 100498111296