Search a number
-
+
23001100110000 = 243254255567779
BaseRepresentation
bin1010011101011010111000…
…11001101100100010110000
310000102212212012210011022200
411032231130121230202300
511003322223112010000
6120530320504503200
74562526463040535
oct516553431544260
9100385765704280
1023001100110000
117368791413731
1226b5925a7ab00
13caacc0a026ac
1459738b2c0d8c
1529d4a0e83500
hex14eb5c66c8b0

23001100110000 has 150 divisors (see below), whose sum is σ = 80438169780540. Its totient is φ = 6133626672000.

The previous prime is 23001100109963. The next prime is 23001100110011. The reversal of 23001100110000 is 1100110032.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 127693890 + ... + 127873889.

Almost surely, 223001100110000 is an apocalyptic number.

23001100110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23001100110000 is an abundant number, since it is smaller than the sum of its proper divisors (57437069670540).

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

23001100110000 is a wasteful number, since it uses less digits than its factorization.

23001100110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255567813 (or 255567789 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 23001100110000 its reverse (1100110032), we get a palindrome (23002200220032).

The spelling of 23001100110000 in words is "twenty-three trillion, one billion, one hundred million, one hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 255567779 511135558 766703337 1022271116 1277838895 1533406674 2044542232 2300110011 2555677790 3066813348 3833516685 4089084464 4600220022 5111355580 6133626696 6389194475 7667033370 9200440044 10222711160 11500550055 12267253392 12778388950 15334066740 18400880088 19167583425 20445422320 23001100110 25556777900 30668133480 31945972375 36801760176 38335166850 46002200220 51113555800 57502750275 61336266960 63891944750 76670333700 92004400440 95837917125 102227111600 115005500550 127783889500 153340667400 159729861875 184008800880 191675834250 230011001100 255567779000 287513751375 306681334800 319459723750 383351668500 460022002200 479189585625 511135558000 575027502750 638919447500 766703337000 920044004400 958379171250 1150055005500 1277838895000 1437568756875 1533406674000 1916758342500 2300110011000 2555677790000 2875137513750 3833516685000 4600220022000 5750275027500 7667033370000 11500550055000 23001100110000