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23313320400 = 2435229669923
BaseRepresentation
bin10101101101100101…
…010000100111010000
32020011202010101101010
4111231211100213100
5340221202223100
614413205210520
71453503645066
oct255545204720
966152111333
1023313320400
119983841747
124627700a40
132276c71c56
1411b236c036
15916aa0750
hex56d9509d0

23313320400 has 120 divisors (see below), whose sum is σ = 77255635680. Its totient is φ = 6002501120.

The previous prime is 23313320389. The next prime is 23313320423. The reversal of 23313320400 is 402331332.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300162 + ... + 369761.

It is an arithmetic number, because the mean of its divisors is an integer number (643796964).

Almost surely, 223313320400 is an apocalyptic number.

23313320400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23313320400 is an abundant number, since it is smaller than the sum of its proper divisors (53942315280).

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

23313320400 is a wasteful number, since it uses less digits than its factorization.

23313320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669973 (or 669962 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 23313320400 its reverse (402331332), we get a palindrome (23715651732).

The spelling of 23313320400 in words is "twenty-three billion, three hundred thirteen million, three hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 145 150 174 200 232 240 290 300 348 400 435 464 580 600 696 725 870 1160 1200 1392 1450 1740 2175 2320 2900 3480 4350 5800 6960 8700 11600 17400 34800 669923 1339846 2009769 2679692 3349615 4019538 5359384 6699230 8039076 10048845 10718768 13398460 16078152 16748075 19427767 20097690 26796920 32156304 33496150 38855534 40195380 50244225 53593840 58283301 66992300 77711068 80390760 97138835 100488450 116566602 133984600 155422136 160781520 194277670 200976900 233133204 267969200 291416505 310844272 388555340 401953800 466266408 485694175 582833010 777110680 803907600 932532816 971388350 1165666020 1457082525 1554221360 1942776700 2331332040 2914165050 3885553400 4662664080 5828330100 7771106800 11656660200 23313320400