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21233031400 = 2352719737687
BaseRepresentation
bin10011110001100101…
…100101100011101000
32000210202200202100101
4103301211211203220
5321441124001100
613430533315144
71351113534430
oct236145454350
960722622311
1021233031400
119006546839
124146a95ab4
132004c95b09
141055d732c0
1584412d86a
hex4f19658e8

21233031400 has 96 divisors (see below), whose sum is σ = 56455136640. Its totient is φ = 7275260160.

The previous prime is 21233031389. The next prime is 21233031401. The reversal of 21233031400 is 413033212.

It is not an unprimeable number, because it can be changed into a prime (21233031401) by changing a digit.

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, 2758357 + ... + 2766043.

It is an arithmetic number, because the mean of its divisors is an integer number (588074340).

Almost surely, 221233031400 is an apocalyptic number.

21233031400 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 21233031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28227568320).

21233031400 is an abundant number, since it is smaller than the sum of its proper divisors (35222105240).

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

21233031400 is a wasteful number, since it uses less digits than its factorization.

21233031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9683 (or 9674 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 21233031400 its reverse (413033212), we get a palindrome (21646064612).

The spelling of 21233031400 in words is "twenty-one billion, two hundred thirty-three million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 1973 3946 7687 7892 9865 13811 15374 15784 19730 27622 30748 38435 39460 49325 53809 55244 61496 69055 76870 78920 98650 107618 110488 138110 153740 192175 197300 215236 269045 276220 307480 345275 384350 394600 430472 538090 552440 690550 768700 1076180 1345225 1381100 1537400 2152360 2690450 2762200 5380900 10761800 15166451 30332902 60665804 75832255 106165157 121331608 151664510 212330314 303329020 379161275 424660628 530825785 606658040 758322550 849321256 1061651570 1516645100 2123303140 2654128925 3033290200 4246606280 5308257850 10616515700 21233031400