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230111212121300 = 2252107103120859089
BaseRepresentation
bin110100010100100011110001…
…000011101010110011010100
31010011202102021000112221021002
4310110203301003222303110
5220130120230300340200
62133223344222242432
766316662231315566
oct6424436103526324
91104672230487232
10230111212121300
116735868728a154
1221985117426418
139b52518074763
1440b762915b336
151b90ac2592bd5
hexd148f10eacd4

230111212121300 has 72 divisors (see below), whose sum is σ = 504496949503680. Its totient is φ = 91095809113600.

The previous prime is 230111212121293. The next prime is 230111212121309. The reversal of 230111212121300 is 3121212111032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230111212121309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602156 + ... + 21461244.

It is an arithmetic number, because the mean of its divisors is an integer number (7006902076440).

Almost surely, 2230111212121300 is an apocalyptic number.

230111212121300 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 230111212121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252248474751840).

230111212121300 is an abundant number, since it is smaller than the sum of its proper divisors (274385737382380).

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

230111212121300 is a wasteful number, since it uses less digits than its factorization.

230111212121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20860241 (or 20860234 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 230111212121300 its reverse (3121212111032), we get a palindrome (233232424232332).

The spelling of 230111212121300 in words is "two hundred thirty trillion, one hundred eleven billion, two hundred twelve million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1031 1070 2062 2140 2675 4124 5155 5350 10310 10700 20620 25775 51550 103100 110317 220634 441268 551585 1103170 2206340 2757925 5515850 11031700 20859089 41718178 83436356 104295445 208590890 417181780 521477225 1042954450 2085908900 2231922523 4463845046 8927690092 11159612615 21505720759 22319225230 43011441518 44638450460 55798063075 86022883036 107528603795 111596126150 215057207590 223192252300 430114415180 537643018975 1075286037950 2150572075900 2301112121213 4602224242426 9204448484852 11505560606065 23011121212130 46022242424260 57527803030325 115055606060650 230111212121300