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230034440310100 = 225217271499315043
BaseRepresentation
bin110100010011011100010001…
…000110011100110101010100
31010011111002002122211211210021
4310103130101012130311110
5220122341013204410400
62133124210224034524
766311303605560256
oct6423342106346524
91104432078754707
10230034440310100
116732907062a0a8
1221972270762a44
139b4820199ac3a
1440b3a25027cd6
151b8dacc6de71a
hexd1371119cd54

230034440310100 has 72 divisors (see below), whose sum is σ = 530488280827008. Its totient is φ = 86281639257600.

The previous prime is 230034440310019. The next prime is 230034440310107. The reversal of 230034440310100 is 1013044430032.

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 (230034440310107) 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, 249196822 + ... + 250118221.

It is an arithmetic number, because the mean of its divisors is an integer number (7367892789264).

Almost surely, 2230034440310100 is an apocalyptic number.

230034440310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230034440310100 is an abundant number, since it is smaller than the sum of its proper divisors (300453840516908).

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

230034440310100 is a wasteful number, since it uses less digits than its factorization.

230034440310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499315345 (or 499315338 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 230034440310100 its reverse (1013044430032), we get a palindrome (231047484740132).

The spelling of 230034440310100 in words is "two hundred thirty trillion, thirty-four billion, four hundred forty million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 271 340 425 542 850 1084 1355 1700 2710 4607 5420 6775 9214 13550 18428 23035 27100 46070 92140 115175 230350 460700 499315043 998630086 1997260172 2496575215 4993150430 8488355731 9986300860 12482876075 16976711462 24965752150 33953422924 42441778655 49931504300 84883557310 135314376653 169767114620 212208893275 270628753306 424417786550 541257506612 676571883265 848835573100 1353143766530 2300344403101 2706287533060 3382859416325 4600688806202 6765718832650 9201377612404 11501722015505 13531437665300 23003444031010 46006888062020 57508610077525 115017220155050 230034440310100