Search a number
-
+
232203012315100 = 225231792377398887
BaseRepresentation
bin110100110010111111111010…
…000100001001011111011100
31010110011101120011122210222221
4310302333322010021133130
5220413403232123040400
62141504331412115124
766624054052512631
oct6462777204113734
91113141504583887
10232203012315100
1167a94820a282a2
12220625bb005aa4
139c7485b388418
14414a985a32188
151bca1ee992c1a
hexd32ffa1097dc

232203012315100 has 144 divisors (see below), whose sum is σ = 526941642465280. Its totient is φ = 88709693529600.

The previous prime is 232203012315067. The next prime is 232203012315103. The reversal of 232203012315100 is 1513210302232.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232203012315103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581927857 + ... + 582326743.

Almost surely, 2232203012315100 is an apocalyptic number.

232203012315100 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 232203012315100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263470821232640).

232203012315100 is an abundant number, since it is smaller than the sum of its proper divisors (294738630150180).

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

232203012315100 is a wasteful number, since it uses less digits than its factorization.

232203012315100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401388 (or 401381 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 232203012315100 its reverse (1513210302232), we get a palindrome (233716222617332).

The spelling of 232203012315100 in words is "two hundred thirty-two trillion, two hundred three billion, twelve million, three hundred fifteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 79 100 124 155 158 310 316 395 620 775 790 1550 1580 1975 2377 2449 3100 3950 4754 4898 7900 9508 9796 11885 12245 23770 24490 47540 48980 59425 61225 73687 118850 122450 147374 187783 237700 244900 294748 368435 375566 398887 736870 751132 797774 938915 1473740 1595548 1842175 1877830 1994435 3684350 3755660 3988870 4694575 5821273 7368700 7977740 9389150 9972175 11642546 12365497 18778300 19944350 23285092 24730994 29106365 31512073 39888700 49461988 58212730 61827485 63024146 116425460 123654970 126048292 145531825 157560365 247309940 291063650 309137425 315120730 582127300 618274850 630241460 787801825 948154399 976874263 1236549700 1575603650 1896308798 1953748526 3151207300 3792617596 3907497052 4740771995 4884371315 9481543990 9768742630 18963087980 19537485260 23703859975 24421856575 29392786369 47407719950 48843713150 58785572738 74904197521 94815439900 97687426300 117571145476 146963931845 149808395042 293927863690 299616790084 374520987605 587855727380 734819659225 749041975210 1469639318450 1498083950420 1872604938025 2322030123151 2939278636900 3745209876050 4644060246302 7490419752100 9288120492604 11610150615755 23220301231510 46440602463020 58050753078775 116101506157550 232203012315100