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230013103100 = 2252112323339019
BaseRepresentation
bin1101011000110111011…
…0010110101111111100
3210222201000020021221112
43112031312112233330
512232031323244400
6253355551021152
722421640055214
oct3261566265774
9728630207845
10230013103100
1189603444840
12386b2b0a7b8
13188c8321391
14b1c017b244
155eb32da835
hex358dd96bfc

230013103100 has 144 divisors (see below), whose sum is σ = 570630977280. Its totient is φ = 79659148800.

The previous prime is 230013103087. The next prime is 230013103127. The reversal of 230013103100 is 1301310032.

It is a super-2 number, since 2×2300131031002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5875391 + ... + 5914409.

It is an arithmetic number, because the mean of its divisors is an integer number (3962715120).

Almost surely, 2230013103100 is an apocalyptic number.

230013103100 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 230013103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285315488640).

230013103100 is an abundant number, since it is smaller than the sum of its proper divisors (340617874180).

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

230013103100 is a wasteful number, since it uses less digits than its factorization.

230013103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39300 (or 39293 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 230013103100 its reverse (1301310032), we get a palindrome (231314413132).

The spelling of 230013103100 in words is "two hundred thirty billion, thirteen million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 233 253 275 460 466 506 550 575 932 1012 1100 1150 1165 1265 2300 2330 2530 2563 4660 5060 5126 5359 5825 6325 10252 10718 11650 12650 12815 21436 23300 25300 25630 26795 39019 51260 53590 58949 64075 78038 107180 117898 128150 133975 156076 195095 235796 256300 267950 294745 390190 429209 535900 589490 780380 858418 897437 975475 1178980 1473725 1716836 1794874 1950950 2146045 2947450 3589748 3901900 4292090 4487185 5894900 8584180 8974370 9091427 9871807 10730225 17948740 18182854 19743614 21460450 22435925 36365708 39487228 42920900 44871850 45457135 49359035 89743700 90914270 98718070 100005697 181828540 197436140 200011394 209102821 227285675 246795175 400022788 418205642 454571350 493590350 500028485 836411284 909142700 987180700 1000056970 1045514105 2000113940 2091028210 2300131031 2500142425 4182056420 4600262062 5000284850 5227570525 9200524124 10000569700 10455141050 11500655155 20910282100 23001310310 46002620620 57503275775 115006551550 230013103100