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230023320100 = 225273161173773
BaseRepresentation
bin1101011000111001110…
…1010101001000100100
3210222201201110101000221
43112032131111020210
512232041432220400
6253400554014124
722422122650330
oct3261635251044
9728651411027
10230023320100
1189609192a42
12386b6417344
13188ca48a942
14b1c167a7c0
155eb4157c1a
hex358e755224

230023320100 has 144 divisors (see below), whose sum is σ = 598516581376. Its totient is φ = 75069504000.

The previous prime is 230023320073. The next prime is 230023320181. The reversal of 230023320100 is 1023320032.

230023320100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1236814 + ... + 1410586.

Almost surely, 2230023320100 is an apocalyptic number.

230023320100 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 230023320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299258290688).

230023320100 is an abundant number, since it is smaller than the sum of its proper divisors (368493261276).

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

230023320100 is a wasteful number, since it uses less digits than its factorization.

230023320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173886 (or 173879 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 230023320100 its reverse (1023320032), we get a palindrome (231046640132).

The spelling of 230023320100 in words is "two hundred thirty billion, twenty-three million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 61 62 70 100 122 124 140 155 175 217 244 305 310 350 427 434 610 620 700 775 854 868 1085 1220 1525 1550 1708 1891 2135 2170 3050 3100 3782 4270 4340 5425 6100 7564 8540 9455 10675 10850 13237 18910 21350 21700 26474 37820 42700 47275 52948 66185 94550 132370 173773 189100 264740 330925 347546 661850 695092 868865 1216411 1323700 1737730 2432822 3475460 4344325 4865644 5386963 6082055 8688650 10600153 10773926 12164110 17377300 21200306 21547852 24328220 26934815 30410275 37708741 42400612 53000765 53869630 60820550 74201071 75417482 106001530 107739260 121641100 134674075 148402142 150834964 188543705 212003060 265003825 269348150 296804284 328604743 371005355 377087410 530007650 538696300 657209486 742010710 754174820 942718525 1060015300 1314418972 1484021420 1643023715 1855026775 1885437050 2300233201 3286047430 3710053550 3770874100 4600466402 6572094860 7420107100 8215118575 9200932804 11501166005 16430237150 23002332010 32860474300 46004664020 57505830025 115011660050 230023320100