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234231710300 = 225271797202921
BaseRepresentation
bin1101101000100101001…
…1000100001001011100
3211101121000021202002122
43122021103010021130
512314201304212200
6255334330242112
722631323454450
oct3321123041134
9741530252078
10234231710300
119037876a875
123948b886338
131911b313563
14b4a0558660
15615d843385
hex36894c425c

234231710300 has 144 divisors (see below), whose sum is σ = 621408852288. Its totient is φ = 74804428800.

The previous prime is 234231710299. The next prime is 234231710309. The reversal of 234231710300 is 3017132432.

234231710300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2342317103002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 234231710300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234231710309) 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, 1052840 + ... + 1255760.

It is an arithmetic number, because the mean of its divisors is an integer number (4315339252).

Almost surely, 2234231710300 is an apocalyptic number.

234231710300 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 234231710300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310704426144).

234231710300 is an abundant number, since it is smaller than the sum of its proper divisors (387177141988).

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

234231710300 is a wasteful number, since it uses less digits than its factorization.

234231710300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203056 (or 203049 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

Adding to 234231710300 its reverse (3017132432), we get a palindrome (237248842732).

The spelling of 234231710300 in words is "two hundred thirty-four billion, two hundred thirty-one million, seven hundred ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 97 100 119 140 170 175 194 238 340 350 388 425 476 485 595 679 700 850 970 1190 1358 1649 1700 1940 2380 2425 2716 2975 3298 3395 4850 5950 6596 6790 8245 9700 11543 11900 13580 16490 16975 23086 32980 33950 41225 46172 57715 67900 82450 115430 164900 202921 230860 288575 405842 577150 811684 1014605 1154300 1420447 2029210 2840894 3449657 4058420 5073025 5681788 6899314 7102235 10146050 13798628 14204470 17248285 19683337 20292100 24147599 28408940 34496570 35511175 39366674 48295198 68993140 71022350 78733348 86241425 96590396 98416685 120737995 137783359 142044700 172482850 196833370 241475990 275566718 334616729 344965700 393666740 482951980 492083425 551133436 603689975 669233458 688916795 984166850 1207379950 1338466916 1377833590 1673083645 1968333700 2342317103 2414759900 2755667180 3346167290 3444583975 4684634206 6692334580 6889167950 8365418225 9369268412 11711585515 13778335900 16730836450 23423171030 33461672900 46846342060 58557927575 117115855150 234231710300