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230002331100 = 2235243113071361
BaseRepresentation
bin1101011000110100110…
…1010000110111011100
3210222200020222000112120
43112031031100313130
512232021044043400
6253354524102540
722421446362033
oct3261515206734
9728606860476
10230002331100
11895a8357663
12386ab394a50
13188c601c309
14b1bc97571a
155eb23adca0
hex358d350ddc

230002331100 has 144 divisors (see below), whose sum is σ = 668018244096. Its totient is φ = 61099904000.

The previous prime is 230002331089. The next prime is 230002331107. The reversal of 230002331100 is 1133200032.

It is a super-2 number, since 2×2300023311002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230002331100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230002331107) 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, 168994420 + ... + 168995780.

It is an arithmetic number, because the mean of its divisors is an integer number (4639015584).

Almost surely, 2230002331100 is an apocalyptic number.

230002331100 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 230002331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334009122048).

230002331100 is an abundant number, since it is smaller than the sum of its proper divisors (438015912996).

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

230002331100 is a wasteful number, since it uses less digits than its factorization.

230002331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 230002331100 its reverse (1133200032), we get a palindrome (231135531132).

The spelling of 230002331100 in words is "two hundred thirty billion, two million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 431 862 1293 1307 1361 1724 2155 2586 2614 2722 3921 4083 4310 5172 5228 5444 6465 6535 6805 7842 8166 8620 10775 12930 13070 13610 15684 16332 19605 20415 21550 25860 26140 27220 32325 32675 34025 39210 40830 43100 64650 65350 68050 78420 81660 98025 102075 129300 130700 136100 196050 204150 392100 408300 563317 586591 1126634 1173182 1689951 1759773 1778827 2253268 2346364 2816585 2932955 3379902 3519546 3557654 5336481 5633170 5865910 6759804 7039092 7115308 8449755 8798865 8894135 10672962 11266340 11731820 14082925 14664775 16899510 17597730 17788270 21345924 26682405 28165850 29329550 33799020 35195460 35576540 42248775 43994325 44470675 53364810 56331700 58659100 84497550 87988650 88941350 106729620 133412025 168995100 175977300 177882700 266824050 533648100 766674437 1533348874 2300023311 3066697748 3833372185 4600046622 7666744370 9200093244 11500116555 15333488740 19166860925 23000233110 38333721850 46000466220 57500582775 76667443700 115001165550 230002331100