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101143303404 = 223111372838093
BaseRepresentation
bin101111000110010011…
…1000101010011101100
3100200001211222011200020
41132030213011103230
53124120141202104
6114244204002140
710210265615403
oct1361447052354
9320054864606
10101143303404
1139992837950
1217728830350
1396cb642730
144c76c3263a
15296e7c62d9
hex178c9c54ec

101143303404 has 96 divisors (see below), whose sum is σ = 277332297984. Its totient is φ = 28284453120.

The previous prime is 101143303403. The next prime is 101143303409. The reversal of 101143303404 is 404303341101.

It is not an unprimeable number, because it can be changed into a prime (101143303403) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12493582 + ... + 12501674.

It is an arithmetic number, because the mean of its divisors is an integer number (2888878104).

Almost surely, 2101143303404 is an apocalyptic number.

It is an amenable number.

101143303404 is an abundant number, since it is smaller than the sum of its proper divisors (176188994580).

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

101143303404 is a wasteful number, since it uses less digits than its factorization.

101143303404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15407 (or 15405 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101143303404 its reverse (404303341101), we get a palindrome (505446644505).

The spelling of 101143303404 in words is "one hundred one billion, one hundred forty-three million, three hundred three thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 7283 8093 14566 16186 21849 24279 29132 32372 43698 48558 80113 87396 89023 94679 97116 105209 160226 178046 189358 210418 240339 267069 284037 315627 320452 356092 378716 420836 480678 534138 568074 631254 961356 1041469 1068276 1136148 1157299 1262508 2082938 2314598 3124407 3471897 4165876 4629196 6248814 6943794 12497628 13887588 58941319 117882638 176823957 235765276 353647914 648354509 707295828 766237147 1296709018 1532474294 1945063527 2298711441 2593418036 3064948588 3890127054 4597422882 7780254108 8428608617 9194845764 16857217234 25285825851 33714434468 50571651702 101143303404