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23000310002300 = 225217194391622059
BaseRepresentation
bin1010011101011001011010…
…10011101011001001111100
310000102210211011001112022112
411032230231103223021330
511003314113330033200
6120530110242033152
74562501060164541
oct516545523531174
9100383734045275
1023000310002300
11736841641a064
1226b57453487b8
13caabc6104347
145973143acbc8
1529d456912535
hex14eb2d4eb27c

23000310002300 has 144 divisors (see below), whose sum is σ = 55754743968000. Its totient is φ = 8184515374080.

The previous prime is 23000310002239. The next prime is 23000310002311. The reversal of 23000310002300 is 320001300032.

It is a congruent number.

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, 13368671 + ... + 14990729.

It is an arithmetic number, because the mean of its divisors is an integer number (387185722000).

Almost surely, 223000310002300 is an apocalyptic number.

23000310002300 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 23000310002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27877371984000).

23000310002300 is an abundant number, since it is smaller than the sum of its proper divisors (32754433965700).

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

23000310002300 is a wasteful number, since it uses less digits than its factorization.

23000310002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622548 (or 1622541 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 23000310002300 its reverse (320001300032), we get a palindrome (23320311302332).

The spelling of 23000310002300 in words is "twenty-three trillion, three hundred ten million, two thousand, three hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 439 475 646 850 878 950 1292 1615 1700 1756 1900 2195 3230 4390 6460 7463 8075 8341 8780 10975 14926 16150 16682 21950 29852 32300 33364 37315 41705 43900 74630 83410 141797 149260 166820 186575 208525 283594 373150 417050 567188 708985 746300 834100 1417970 1622059 2835940 3244118 3544925 6488236 7089850 8110295 14179700 16220590 27575003 30819121 32441180 40551475 55150006 61638242 81102950 110300012 123276484 137875015 154095605 162205900 275750030 308191210 523925057 551500060 616382420 689375075 712083901 770478025 1047850114 1378750150 1424167802 1540956050 2095700228 2619625285 2757500300 2848335604 3081912100 3560419505 5239250570 7120839010 10478501140 12105426317 13098126425 13529594119 14241678020 17802097525 24210852634 26196252850 27059188238 35604195050 48421705268 52392505700 54118376476 60527131585 67647970595 71208390100 121054263170 135295941190 230003100023 242108526340 270591882380 302635657925 338239852975 460006200046 605271315850 676479705950 920012400092 1150015500115 1210542631700 1352959411900 2300031000230 4600062000460 5750077500575 11500155001150 23000310002300