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201303311012322 = 23718315744838089
BaseRepresentation
bin101101110001010110010100…
…010110000101000111100010
3222101202102000212020100211120
4231301112110112011013202
5202341123140104343242
61552045244151353110
760254453464165311
oct5561262426050742
9871672025210746
10201303311012322
1159161289111062
121a6b1b1b682796
138842a89322bbc
14379d1bcc14278
1518415639e01ec
hexb715945851e2

201303311012322 has 128 divisors (see below), whose sum is σ = 415972136724480. Its totient is φ = 64920145006080.

The previous prime is 201303311012317. The next prime is 201303311012339. The reversal of 201303311012322 is 223210113303102.

It is a junction number, because it is equal to n+sod(n) for n = 201303311012292 and 201303311012301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24886052454 + ... + 24886060542.

It is an arithmetic number, because the mean of its divisors is an integer number (3249782318160).

Almost surely, 2201303311012322 is an apocalyptic number.

201303311012322 is an abundant number, since it is smaller than the sum of its proper divisors (214668825712158).

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

201303311012322 is a wasteful number, since it uses less digits than its factorization.

201303311012322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12888.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 201303311012322 its reverse (223210113303102), we get a palindrome (424513424315424).

The spelling of 201303311012322 in words is "two hundred one trillion, three hundred three billion, three hundred eleven million, twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 71 83 142 157 166 213 249 314 426 471 498 942 4483 5893 8089 8966 11147 11786 13031 13449 16178 17679 22294 24267 26062 26898 33441 35358 39093 48534 66882 78186 318293 372089 574319 636586 671387 703831 744178 925201 954879 1116267 1148638 1269973 1342774 1407662 1722957 1850402 1909758 2014161 2111493 2232534 2539946 2775603 3445914 3809919 4028322 4222986 5551206 7619838 26418319 36262987 47668477 49972001 52836638 58417973 72525974 79254957 90168083 95336954 99944002 105407759 108788961 116835946 143005431 149916003 158509914 175253919 180336166 210815518 217577922 270504249 286010862 299832006 316223277 350507838 541008498 632446554 2574672077 3009827921 4147676083 5149344154 5693288959 6019655842 7483950889 7724016231 8295352166 9029483763 11386577918 12443028249 14967901778 15448032462 17079866877 18058967526 22451852667 24886056498 34159733754 44903705334 213697782391 404223516089 427395564782 472542983597 641093347173 808447032178 945085967194 1212670548267 1282186694346 1417628950791 2425341096534 2835257901582 33550551835387 67101103670774 100651655506161 201303311012322