Search a number
-
+
23233140300300 = 22352733233329341
BaseRepresentation
bin1010100100001011000110…
…00100110001101000001100
310001021001210111100011010220
411102011203010301220030
511021122432404102200
6121225053551231340
74615352606105220
oct522054304615014
9101231714304126
1023233140300300
117448135016047
1227328a3818550
13cc6b4cc93348
145a46c0768780
152a45321d24a0
hex152163131a0c

23233140300300 has 144 divisors (see below), whose sum is σ = 76847392618752. Its totient is φ = 5308832390400.

The previous prime is 23233140300287. The next prime is 23233140300343. The reversal of 23233140300300 is 300304133232.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5313630 + ... + 8642970.

Almost surely, 223233140300300 is an apocalyptic number.

23233140300300 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 23233140300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38423696309376).

23233140300300 is an abundant number, since it is smaller than the sum of its proper divisors (53614252318452).

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

23233140300300 is a wasteful number, since it uses less digits than its factorization.

23233140300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332688 (or 3332681 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 23233140300300 its reverse (300304133232), we get a palindrome (23533444433532).

The spelling of 23233140300300 in words is "twenty-three trillion, two hundred thirty-three billion, one hundred forty million, three hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 3323 6646 9969 13292 16615 19938 23261 33230 39876 46522 49845 66460 69783 83075 93044 99690 116305 139566 166150 199380 232610 249225 279132 332300 348915 465220 498450 581525 697830 996900 1163050 1395660 1744575 2326100 3329341 3489150 6658682 6978300 9988023 13317364 16646705 19976046 23305387 33293410 39952092 46610774 49940115 66586820 69916161 83233525 93221548 99880230 116526935 139832322 166467050 199760460 233053870 249700575 279664644 332934100 349580805 466107740 499401150 582634675 699161610 998802300 1165269350 1398323220 1747904025 2330538700 3495808050 6991616100 11063400143 22126800286 33190200429 44253600572 55317000715 66380400858 77443801001 110634001430 132760801716 154887602002 165951002145 221268002860 232331403003 276585003575 309775204004 331902004290 387219005005 464662806006 553170007150 663804008580 774438010010 829755010725 929325612012 1106340014300 1161657015015 1548876020020 1659510021450 1936095025025 2323314030030 3319020042900 3872190050050 4646628060060 5808285075075 7744380100100 11616570150150 23233140300300