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202301002420400 = 24521322992618379
BaseRepresentation
bin101101111111110111011111…
…011000110001000010110000
3222112021210020200122011120002
4231333313133120301002300
5203003444423104423100
61554131444133005132
760416523300216542
oct5577673730610260
9875253220564502
10202301002420400
1159506411987744
121a8333584837a8
1388b5b97228900
1437d55c67d3692
15185c4a77392d5
hexb7fddf6310b0

202301002420400 has 90 divisors (see below), whose sum is σ = 526290846161940. Its totient is φ = 74695754714880.

The previous prime is 202301002420331. The next prime is 202301002420417. The reversal of 202301002420400 is 4024200103202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1496241590 + ... + 1496376789.

It is an arithmetic number, because the mean of its divisors is an integer number (5847676068466).

Almost surely, 2202301002420400 is an apocalyptic number.

202301002420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202301002420400 is an abundant number, since it is smaller than the sum of its proper divisors (323989843741540).

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

202301002420400 is a wasteful number, since it uses less digits than its factorization.

202301002420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992618423 (or 2992618399 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 202301002420400 its reverse (4024200103202), we get a palindrome (206325202523602).

The spelling of 202301002420400 in words is "two hundred two trillion, three hundred one billion, two million, four hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 169 200 208 260 325 338 400 520 650 676 845 1040 1300 1352 1690 2600 2704 3380 4225 5200 6760 8450 13520 16900 33800 67600 2992618379 5985236758 11970473516 14963091895 23940947032 29926183790 38904038927 47881894064 59852367580 74815459475 77808077854 119704735160 149630918950 155616155708 194520194635 239409470320 299261837900 311232311416 389040389270 505752506051 598523675800 622464622832 778080778540 972600973175 1011505012102 1197047351600 1556161557080 1945201946350 2023010024204 2528762530255 3112323114160 3890403892700 4046020048408 5057525060510 7780807785400 8092040096816 10115050121020 12643812651275 15561615570800 20230100242040 25287625302550 40460200484080 50575250605100 101150501210200 202301002420400