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23023424311300 = 2252759983956659
BaseRepresentation
bin1010011110000100011110…
…00001110001000000000100
310000112000111000201002101001
411033002033001301000010
511004203433110430200
6120544452021543044
74564246626443530
oct517021701610004
9100460430632331
1023023424311300
1173771a7893576
1226ba116274a84
13cb013aa76c6a
145984a8134bc0
1529dd5aca176a
hex14f08f071004

23023424311300 has 144 divisors (see below), whose sum is σ = 58072783104000. Its totient is φ = 7759027543680.

The previous prime is 23023424311297. The next prime is 23023424311367. The reversal of 23023424311300 is 311342432032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 406322371 + ... + 406379029.

It is an arithmetic number, because the mean of its divisors is an integer number (403283216000).

Almost surely, 223023424311300 is an apocalyptic number.

23023424311300 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 23023424311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29036391552000).

23023424311300 is an abundant number, since it is smaller than the sum of its proper divisors (35049358792700).

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

23023424311300 is a wasteful number, since it uses less digits than its factorization.

23023424311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66578 (or 66571 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 23023424311300 its reverse (311342432032), we get a palindrome (23334766743332).

The spelling of 23023424311300 in words is "twenty-three trillion, twenty-three billion, four hundred twenty-four million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 59 70 100 118 140 175 236 295 350 413 590 700 826 1180 1475 1652 2065 2950 4130 5900 8260 9839 10325 19678 20650 39356 41300 49195 56659 68873 98390 113318 137746 196780 226636 245975 275492 283295 344365 396613 491950 566590 580501 688730 793226 983900 1133180 1161002 1377460 1416475 1586452 1721825 1983065 2322004 2832950 2902505 3342881 3443650 3966130 4063507 5665900 5805010 6685762 6887300 7932260 8127014 9915325 11610020 13371524 14512525 16254028 16714405 19830650 20317535 23400167 29025050 33428810 39661300 40635070 46800334 58050100 66857620 81270140 83572025 93600668 101587675 117000835 167144050 203175350 234001670 334288100 406350700 468003340 557467901 585004175 1114935802 1170008350 2229871604 2340016700 2787339505 3902275307 5574679010 7804550614 11149358020 13936697525 15609101228 19511376535 27873395050 32890606159 39022753070 55746790100 65781212318 78045506140 97556882675 131562424636 164453030795 195113765350 230234243113 328906061590 390227530700 460468486226 657812123180 822265153975 920936972452 1151171215565 1644530307950 2302342431130 3289060615900 4604684862260 5755856077825 11511712155650 23023424311300