Search a number
-
+
231532005452120 = 235471633971903159
BaseRepresentation
bin110100101001001110111110…
…111100000110100101011000
31010100210020120112212101021122
4310221032332330012211120
5220321410021343431440
62140232200202224412
766524430635341442
oct6451167674064530
91110706515771248
10231532005452120
116785619906166a
1221b745541b5108
139c264b3812679
1441262cd15d492
151bb7a2ae297b5
hexd293bef06958

231532005452120 has 128 divisors (see below), whose sum is σ = 536643617126400. Its totient is φ = 89859264523776.

The previous prime is 231532005452107. The next prime is 231532005452161. The reversal of 231532005452120 is 21254500235132.

It is a super-2 number, since 2×2315320054521202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120705101 + ... + 122608259.

It is an arithmetic number, because the mean of its divisors is an integer number (4192528258800).

Almost surely, 2231532005452120 is an apocalyptic number.

231532005452120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231532005452120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268321808563200).

231532005452120 is an abundant number, since it is smaller than the sum of its proper divisors (305111611674280).

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

231532005452120 is a wasteful number, since it uses less digits than its factorization.

231532005452120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903777 (or 1903773 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 231532005452120 its reverse (21254500235132), we get a palindrome (252786505687252).

The spelling of 231532005452120 in words is "two hundred thirty-one trillion, five hundred thirty-two billion, five million, four hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 163 188 235 326 376 397 470 652 794 815 940 1304 1588 1630 1880 1985 3176 3260 3970 6520 7661 7940 15322 15880 18659 30644 37318 38305 61288 64711 74636 76610 93295 129422 149272 153220 186590 258844 306440 323555 373180 517688 647110 746360 1294220 1903159 2588440 3041417 3806318 6082834 7612636 9515795 12165668 15207085 15225272 19031590 24331336 30414170 38063180 60828340 76126360 89448473 121656680 178896946 310214917 357793892 447242365 620429834 715587784 755554123 894484730 1240859668 1511108246 1551074585 1788969460 2481719336 3022216492 3102149170 3577938920 3777770615 6044432984 6204298340 7555541230 12408596680 14580101099 15111082460 29160202198 30222164920 35511043781 58320404396 71022087562 72900505495 116640808792 123155322049 142044175124 145801010990 177555218905 246310644098 284088350248 291602021980 355110437810 492621288196 583204043960 615776610245 710220875620 985242576392 1231553220490 1420441751240 2463106440980 4926212881960 5788300136303 11576600272606 23153200545212 28941500681515 46306401090424 57883001363030 115766002726060 231532005452120