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23010021313300 = 2252727436320219
BaseRepresentation
bin1010011101101011100000…
…01001011000101100010100
310000110201212221121020120201
411032311300021120230110
511003444010424011200
6120534354033110244
74563263531026600
oct516656011305424
9100421787536521
1023010021313300
11737154a18581a
1226b75b56b8384
13cabab3054208
14597996064500
1529d824297c6a
hex14ed70258b14

23010021313300 has 108 divisors (see below), whose sum is σ = 58162052077920. Its totient is φ = 7878530950080.

The previous prime is 23010021313297. The next prime is 23010021313309. The reversal of 23010021313300 is 331312001032.

It is a super-2 number, since 2×230100213133002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23010021313309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 480591 + ... + 6800809.

It is an arithmetic number, because the mean of its divisors is an integer number (538537519240).

Almost surely, 223010021313300 is an apocalyptic number.

23010021313300 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 23010021313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29081026038960).

23010021313300 is an abundant number, since it is smaller than the sum of its proper divisors (35152030764620).

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

23010021313300 is a wasteful number, since it uses less digits than its factorization.

23010021313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6320990 (or 6320976 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 23010021313300 its reverse (331312001032), we get a palindrome (23341333314332).

The spelling of 23010021313300 in words is "twenty-three trillion, ten billion, twenty-one million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 743 980 1225 1486 2450 2972 3715 4900 5201 7430 10402 14860 18575 20804 26005 36407 37150 52010 72814 74300 104020 130025 145628 182035 260050 364070 520100 728140 910175 1820350 3640700 6320219 12640438 25280876 31601095 44241533 63202190 88483066 126404380 158005475 176966132 221207665 309690731 316010950 442415330 619381462 632021900 884830660 1106038325 1238762924 1548453655 2212076650 3096907310 4424153300 4695922717 6193814620 7742268275 9391845434 15484536550 18783690868 23479613585 30969073100 32871459019 46959227170 65742918038 93918454340 117398067925 131485836076 164357295095 230100213133 234796135850 328714590190 460200426266 469592271700 657429180380 821786475475 920400852532 1150501065665 1643572950950 2301002131330 3287145901900 4602004262660 5752505328325 11505010656650 23010021313300