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23023431030300 = 22352417207259723
BaseRepresentation
bin1010011110000100011110…
…11011011001011000011100
310000112000111111100110002220
411033002033123121120130
511004203441320432200
6120544452421545340
74564250040526461
oct517021733313034
9100460444313086
1023023431030300
117377200662668
1226ba118575250
13cb013c28a2bc
145984a8da3668
1529dd5b67c4a0
hex14f08f6d961c

23023431030300 has 144 divisors (see below), whose sum is σ = 68248934621952. Its totient is φ = 5988981542400.

The previous prime is 23023431030287. The next prime is 23023431030317. The reversal of 23023431030300 is 303013432032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88516239 + ... + 88775961.

Almost surely, 223023431030300 is an apocalyptic number.

23023431030300 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 23023431030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34124467310976).

23023431030300 is an abundant number, since it is smaller than the sum of its proper divisors (45225503591652).

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

23023431030300 is a wasteful number, since it uses less digits than its factorization.

23023431030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266988 (or 266981 counting only the distinct ones).

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

Adding to 23023431030300 its reverse (303013432032), we get a palindrome (23326444462332).

The spelling of 23023431030300 in words is "twenty-three trillion, twenty-three billion, four hundred thirty-one million, thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 7207 12300 14414 21621 28828 36035 43242 72070 86484 108105 144140 180175 216210 259723 295487 360350 432420 519446 540525 590974 720700 779169 886461 1038892 1081050 1181948 1298615 1477435 1558338 1772922 2162100 2597230 2954870 3116676 3545844 3895845 4432305 5194460 5909740 6493075 7387175 7791690 8864610 10648643 12986150 14774350 15583380 17729220 19479225 21297286 22161525 25972300 29548700 31945929 38958450 42594572 44323050 53243215 63891858 77916900 88646100 106486430 127783716 159729645 212972860 266216075 319459290 532432150 638918580 798648225 1064864300 1597296450 1871823661 3194592900 3743647322 5615470983 7487294644 9359118305 11230941966 18718236610 22461883932 28077354915 37436473220 46795591525 56154709830 76744770101 93591183050 112309419660 140386774575 153489540202 187182366100 230234310303 280773549150 306979080404 383723850505 460468620606 561547098300 767447701010 920937241212 1151171551515 1534895402020 1918619252525 2302343103030 3837238505050 4604686206060 5755857757575 7674477010100 11511715515150 23023431030300