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230233320231100 = 225261103873741941
BaseRepresentation
bin110100010110010101011111…
…010001001001000010111100
31010012012002102221111121202021
4310112111133101021002330
5220134120314434343400
62133355421023005524
766331544206162654
oct6426253721110274
91105162387447667
10230233320231100
11673a544811137a
12219a49151398a4
139b60ba7c29074
1440bd4d0461364
151b93d6c66371a
hexd1655f4490bc

230233320231100 has 144 divisors (see below), whose sum is σ = 512797546870336. Its totient is φ = 89691743232000.

The previous prime is 230233320231071. The next prime is 230233320231119. The reversal of 230233320231100 is 1132023332032.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5489436130 + ... + 5489478070.

Almost surely, 2230233320231100 is an apocalyptic number.

230233320231100 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 230233320231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256398773435168).

230233320231100 is an abundant number, since it is smaller than the sum of its proper divisors (282564226639236).

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

230233320231100 is a wasteful number, since it uses less digits than its factorization.

230233320231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50856 (or 50849 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 230233320231100 its reverse (1132023332032), we get a palindrome (231365343563132).

The spelling of 230233320231100 in words is "two hundred thirty trillion, two hundred thirty-three billion, three hundred twenty million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 103 122 206 244 305 412 515 610 1030 1220 1525 2060 2575 3050 5150 6100 6283 8737 10300 12566 17474 25132 31415 34948 41941 43685 62830 83882 87370 125660 157075 167764 174740 209705 218425 314150 419410 436850 532957 628300 838820 873700 899911 1048525 1065914 1799822 2097050 2131828 2558401 2664785 3599644 4194100 4319923 4499555 5116802 5329570 8639846 8999110 10233604 10659140 12792005 13323925 17279692 17998220 21599615 22497775 25584010 26647850 43199230 44995550 51168020 53295700 54894571 63960025 86398460 89991100 107998075 109789142 127920050 215996150 219578284 255840100 263515303 274472855 366438517 431992300 527030606 548945710 732877034 1054061212 1097891420 1317576515 1372364275 1465754068 1832192585 2635153030 2744728550 3664385170 5270306060 5489457100 6587882575 7328770340 9160962925 13175765150 18321925850 22352749537 26351530300 36643851700 37743167251 44705499074 75486334502 89410998148 111763747685 150972669004 188715836255 223527495370 377431672510 447054990740 558818738425 754863345020 943579181275 1117637476850 1887158362550 2235274953700 2302333202311 3774316725100 4604666404622 9209332809244 11511666011555 23023332023110 46046664046220 57558330057775 115116660115550 230233320231100