Search a number
-
+
101228983713 = 331113223117571
BaseRepresentation
bin101111001000110110…
…1111011010110100001
3100200021211012011222000
41132101231323112201
53124304104434323
6114300504234213
710212356110254
oct1362155732641
9320254164860
10101228983713
1139a27138820
121775146b969
139713311440
144c8437709b
15297709ce43
hex1791b7b5a1

101228983713 has 64 divisors (see below), whose sum is σ = 176978780160. Its totient is φ = 56377166400.

The previous prime is 101228983699. The next prime is 101228983727. The reversal of 101228983713 is 317389822101.

It is an interprime number because it is at equal distance from previous prime (101228983699) and next prime (101228983727).

It is not a de Polignac number, because 101228983713 - 213 = 101228975521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101228983753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 802218 + ... + 919788.

It is an arithmetic number, because the mean of its divisors is an integer number (2765293440).

Almost surely, 2101228983713 is an apocalyptic number.

101228983713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101228983713 is a deficient number, since it is larger than the sum of its proper divisors (75749796447).

101228983713 is a wasteful number, since it uses less digits than its factorization.

101228983713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117827 (or 117821 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 101228983713 in words is "one hundred one billion, two hundred twenty-eight million, nine hundred eighty-three thousand, seven hundred thirteen".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 223 297 351 429 669 1287 2007 2453 2899 3861 6021 7359 8697 22077 26091 31889 66231 78273 95667 117571 287001 352713 861003 1058139 1293281 1528423 3174417 3879843 4585269 11639529 13755807 16812653 26218333 34918587 41267421 50437959 78654999 151313877 235964997 288401663 340838329 453941631 707894991 865204989 1022514987 2595614967 3067544961 3749221619 7786844901 9202634883 11247664857 33742994571 101228983713