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23313301000 = 2353117872693
BaseRepresentation
bin10101101101100101…
…001011111000001000
32020011202002101202121
4111231211023320020
5340221201113000
614413204541024
71453503534403
oct255545137010
966152071677
1023313301000
119983829110
1246276b1774
132276c66182
1411b2364d3a
15916a99b1a
hex56d94be08

23313301000 has 128 divisors (see below), whose sum is σ = 59610245760. Its totient is φ = 8463648000.

The previous prime is 23313300949. The next prime is 23313301019. The reversal of 23313301000 is 10331332.

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 31 ways as a sum of consecutive naturals, for example, 8655654 + ... + 8658346.

It is an arithmetic number, because the mean of its divisors is an integer number (465705045).

Almost surely, 223313301000 is an apocalyptic number.

23313301000 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 23313301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29805122880).

23313301000 is an abundant number, since it is smaller than the sum of its proper divisors (36296944760).

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

23313301000 is a wasteful number, since it uses less digits than its factorization.

23313301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 23313301000 its reverse (10331332), we get a palindrome (23323632332).

The spelling of 23313301000 in words is "twenty-three billion, three hundred thirteen million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 787 1000 1100 1375 1574 2200 2693 2750 3148 3935 5386 5500 6296 7870 8657 10772 11000 13465 15740 17314 19675 21544 26930 29623 31480 34628 39350 43285 53860 59246 67325 69256 78700 86570 98375 107720 118492 134650 148115 157400 173140 196750 216425 236984 269300 296230 336625 346280 393500 432850 538600 592460 673250 740575 787000 865700 1082125 1184920 1346500 1481150 1731400 2119391 2164250 2693000 2962300 3702875 4238782 4328500 5924600 7405750 8477564 8657000 10596955 14811500 16955128 21193910 23313301 29623000 42387820 46626602 52984775 84775640 93253204 105969550 116566505 186506408 211939100 233133010 264923875 423878200 466266020 529847750 582832525 932532040 1059695500 1165665050 2119391000 2331330100 2914162625 4662660200 5828325250 11656650500 23313301000