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11131000214334 = 23711132380578843
BaseRepresentation
bin1010000111111010001101…
…0100000101001100111110
31110102010001112200002001120
42201332203110011030332
52424332242023324314
635401302204451410
72226121363503420
oct241764324051476
943363045602046
1011131000214334
1136016a3488960
1212b9319549b66
136298585ac490
142a6a59806810
151448222428a9
hexa1fa350533e

11131000214334 has 128 divisors (see below), whose sum is σ = 31189814304768. Its totient is φ = 2552737714560.

The previous prime is 11131000214297. The next prime is 11131000214351. The reversal of 11131000214334 is 43341200013111.

It is a happy number.

11131000214334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 40151284 + ... + 40427559.

It is an arithmetic number, because the mean of its divisors is an integer number (243670424256).

Almost surely, 211131000214334 is an apocalyptic number.

11131000214334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11131000214334 is an abundant number, since it is smaller than the sum of its proper divisors (20058814090434).

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

11131000214334 is a wasteful number, since it uses less digits than its factorization.

11131000214334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80578902.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11131000214334 its reverse (43341200013111), we get a palindrome (54472200227445).

The spelling of 11131000214334 in words is "eleven trillion, one hundred thirty-one billion, two hundred fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 23 26 33 39 42 46 66 69 77 78 91 138 143 154 161 182 231 253 273 286 299 322 429 462 483 506 546 598 759 858 897 966 1001 1518 1771 1794 2002 2093 3003 3289 3542 4186 5313 6006 6279 6578 9867 10626 12558 19734 23023 46046 69069 138138 80578843 161157686 241736529 483473058 564051901 886367273 1047524959 1128103802 1692155703 1772734546 1853313389 2095049918 2659101819 3142574877 3384311406 3706626778 5318203638 5559940167 6204570911 6285149754 7332674713 11119880334 11522774549 12409141822 12973193723 14665349426 18613712733 20386447279 21998024139 23045549098 24093074057 25946387446 34568323647 37227425466 38919581169 40772894558 43996048278 48186148114 61159341837 69136647294 72279222171 77839162338 80659421843 122318683674 142705130953 144558444342 161318843686 168651518399 241978265529 265023814627 285410261906 337303036798 428115392859 483956531058 505954555197 530047629254 795071443881 856230785718 1011909110394 1590142887762 1855166702389 3710333404778 5565500107167 11131000214334