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231300222003132 = 223312371573452789
BaseRepresentation
bin110100100101110111000111…
…100100011010011110111100
31010022222002022011102012022220
4310211313013210122132330
5220304110323313100012
62135533504410405340
766501614060464032
oct6445670744323674
91108862264365286
10231300222003132
1167776967377857
1221b37648430850
139c0a6957b4959
144118dc1c28552
151bb19b24e208c
hexd25dc791a7bc

231300222003132 has 144 divisors (see below), whose sum is σ = 576392244452640. Its totient is φ = 72133989557760.

The previous prime is 231300222003107. The next prime is 231300222003181.

231300222003132 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65262994 + ... + 68715782.

It is an arithmetic number, because the mean of its divisors is an integer number (4002723919810).

Almost surely, 2231300222003132 is an apocalyptic number.

It is an amenable number.

231300222003132 is an abundant number, since it is smaller than the sum of its proper divisors (345092022449508).

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

231300222003132 is a wasteful number, since it uses less digits than its factorization.

231300222003132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453052 (or 3453019 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 231300222003132 in words is "two hundred thirty-one trillion, three hundred billion, two hundred twenty-two million, three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 37 62 74 93 111 124 148 157 186 222 314 372 444 471 628 942 961 1147 1884 1922 2294 2883 3441 3844 4588 4867 5766 5809 6882 9734 11532 11618 13764 14601 17427 19468 23236 29202 34854 35557 58404 69708 71114 106671 142228 150877 180079 213342 301754 360158 426684 452631 540237 603508 720316 905262 1080474 1810524 2160948 3452789 5582449 6905578 10358367 11164898 13811156 16747347 20716734 22329796 33494694 41433468 66989388 107036459 127753193 214072918 255506386 321109377 383259579 428145836 511012772 542087873 642218754 766519158 1084175746 1284437508 1533038316 1626263619 2168351492 3252527238 3318130229 3960348983 6505054476 6636260458 7920697966 9954390687 11881046949 13272520916 15841395932 16804724063 19908781374 20057251301 23762093898 33609448126 39817562748 40114502602 47524187796 50414172189 60171753903 67218896252 80229005204 100828344378 120343507806 122770818473 201656688756 240687015612 245541636946 368312455419 491083273892 520946445953 621774790331 736624910838 1041892891906 1243549580662 1473249821676 1562839337859 1865324370993 2083785783812 2487099161324 3125678675718 3730648741986 6251357351436 7461297483972 19275018500261 38550037000522 57825055500783 77100074001044 115650111001566 231300222003132