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100333301420 = 22511619078243
BaseRepresentation
bin101110101110001010…
…1001010111010101100
3100120222101210210211202
41131130111022322230
53120440311121140
6114031550505032
710151231663522
oct1353425127254
9316871723752
10100333301420
1139607595420
1217541505178
1395cc89a111
144bdb422312
152923625915
hex175c54aeac

100333301420 has 96 divisors (see below), whose sum is σ = 233908528896. Its totient is φ = 35842809600.

The previous prime is 100333301399. The next prime is 100333301437. The reversal of 100333301420 is 24103333001.

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 = 100333301392 and 100333301401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12167819 + ... + 12176061.

It is an arithmetic number, because the mean of its divisors is an integer number (2436547176).

Almost surely, 2100333301420 is an apocalyptic number.

100333301420 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 100333301420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116954264448).

100333301420 is an abundant number, since it is smaller than the sum of its proper divisors (133575227476).

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

100333301420 is a wasteful number, since it uses less digits than its factorization.

100333301420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9231 (or 9229 counting only the distinct ones).

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

Adding to 100333301420 its reverse (24103333001), we get a palindrome (124436634421).

The spelling of 100333301420 in words is "one hundred billion, three hundred thirty-three million, three hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 907 1220 1342 1814 2684 3355 3628 4535 6710 8243 9070 9977 13420 16486 18140 19954 32972 39908 41215 49885 55327 82430 90673 99770 110654 164860 181346 199540 221308 276635 362692 453365 502823 553270 608597 906730 1005646 1106540 1217194 1813460 2011292 2434388 2514115 3042985 5028230 5531053 6085970 7476401 10056460 11062106 12171940 14952802 22124212 27655265 29905604 37382005 55310530 74764010 82240411 110621060 149528020 164480822 328961644 411202055 456060461 822404110 912120922 1644808220 1824241844 2280302305 4560604610 5016665071 9121209220 10033330142 20066660284 25083325355 50166650710 100333301420