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230103123200 = 2852190118913
BaseRepresentation
bin1101011001001100110…
…1110000010100000000
3210222221021121210022022
43112103031300110000
512232222344420300
6253412524301012
722424112163406
oct3262315602400
9728837553268
10230103123200
118964a23a215
12387190a1768
1318910b7c502
14b1cc0d1476
155ebb16d285
hex3593370500

230103123200 has 108 divisors (see below), whose sum is σ = 569870913948. Its totient is φ = 91987968000.

The previous prime is 230103123179. The next prime is 230103123233. The reversal of 230103123200 is 2321301032.

It can be written as a sum of positive squares in 6 ways, for example, as 1573232896 + 228529890304 = 39664^2 + 478048^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12156944 + ... + 12175856.

Almost surely, 2230103123200 is an apocalyptic number.

230103123200 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 230103123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284935456974).

230103123200 is an abundant number, since it is smaller than the sum of its proper divisors (339767790748).

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

230103123200 is a wasteful number, since it uses less digits than its factorization.

230103123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20840 (or 20821 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 230103123200 its reverse (2321301032), we get a palindrome (232424424232).

The spelling of 230103123200 in words is "two hundred thirty billion, one hundred three million, one hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 1901 3200 3802 6400 7604 9505 15208 18913 19010 30416 37826 38020 47525 60832 75652 76040 94565 95050 121664 151304 152080 189130 190100 243328 302608 304160 378260 380200 472825 486656 605216 608320 756520 760400 945650 1210432 1216640 1513040 1520800 1891300 2420864 2433280 3026080 3041600 3782600 4841728 6052160 6083200 7565200 12104320 12166400 15130400 24208640 30260800 35953613 60521600 71907226 121043200 143814452 179768065 287628904 359536130 575257808 719072260 898840325 1150515616 1438144520 1797680650 2301031232 2876289040 3595361300 4602062464 5752578080 7190722600 9204124928 11505156160 14381445200 23010312320 28762890400 46020624640 57525780800 115051561600 230103123200