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23001303400 = 2352415947543
BaseRepresentation
bin10101011010111111…
…000000100101101000
32012101000000021111221
4111122333000211220
5334101313202100
614322221431424
71442664565405
oct253277004550
965330007457
1023001303400
1198336aa759
12455b10b574
1322274274ca
141182b4b2ac
158e94bb01a
hex55afc0968

23001303400 has 96 divisors (see below), whose sum is σ = 55712059200. Its totient is φ = 8823795200.

The previous prime is 23001303389. The next prime is 23001303469. The reversal of 23001303400 is 430310032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460029 + ... + 507571.

It is an arithmetic number, because the mean of its divisors is an integer number (580333950).

Almost surely, 223001303400 is an apocalyptic number.

23001303400 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 23001303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27856029600).

23001303400 is an abundant number, since it is smaller than the sum of its proper divisors (32710755800).

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

23001303400 is a wasteful number, since it uses less digits than its factorization.

23001303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47659 (or 47650 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 23001303400 its reverse (430310032), we get a palindrome (23431613432).

The spelling of 23001303400 in words is "twenty-three billion, one million, three hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 59 82 100 118 164 200 205 236 295 328 410 472 590 820 1025 1180 1475 1640 2050 2360 2419 2950 4100 4838 5900 8200 9676 11800 12095 19352 24190 47543 48380 60475 95086 96760 120950 190172 237715 241900 380344 475430 483800 950860 1188575 1901720 1949263 2377150 2805037 3898526 4754300 5610074 7797052 9508600 9746315 11220148 14025185 15594104 19492630 22440296 28050370 38985260 48731575 56100740 70125925 77970520 97463150 112201480 115006517 140251850 194926300 230013034 280503700 389852600 460026068 561007400 575032585 920052136 1150065170 2300130340 2875162925 4600260680 5750325850 11500651700 23001303400