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23202100000 = 2555673463
BaseRepresentation
bin10101100110111100…
…111111001100100000
32012212222211210200001
4111212330333030200
5340004214200000
614354153305344
71450653411262
oct254674771440
965788753601
1023202100000
119926a87162
1245b6405254
132259c00271
1411a1699b32
1590be3146a
hex566f3f320

23202100000 has 144 divisors (see below), whose sum is σ = 57964165056. Its totient is φ = 9139680000.

The previous prime is 23202099967. The next prime is 23202100079. The reversal of 23202100000 is 120232.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 23202100000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6698269 + ... + 6701731.

It is an arithmetic number, because the mean of its divisors is an integer number (402528924).

Almost surely, 223202100000 is an apocalyptic number.

23202100000 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 23202100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28982082528).

23202100000 is an abundant number, since it is smaller than the sum of its proper divisors (34762065056).

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

23202100000 is an frugal number, since it uses more digits than its factorization.

23202100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 23202100000 its reverse (120232), we get a palindrome (23202220232).

The spelling of 23202100000 in words is "twenty-three billion, two hundred two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 67 80 100 125 134 160 200 250 268 335 400 500 536 625 670 800 1000 1072 1250 1340 1675 2000 2144 2500 2680 3125 3350 3463 4000 5000 5360 6250 6700 6926 8375 10000 10720 12500 13400 13852 16750 17315 20000 25000 26800 27704 33500 34630 41875 50000 53600 55408 67000 69260 83750 86575 100000 110816 134000 138520 167500 173150 209375 232021 268000 277040 335000 346300 418750 432875 464042 554080 670000 692600 837500 865750 928084 1160105 1340000 1385200 1675000 1731500 1856168 2164375 2320210 2770400 3350000 3463000 3712336 4328750 4640420 5800525 6700000 6926000 7424672 8657500 9280840 10821875 11601050 13852000 17315000 18561680 21643750 23202100 29002625 34630000 37123360 43287500 46404200 58005250 69260000 86575000 92808400 116010500 145013125 173150000 185616800 232021000 290026250 346300000 464042000 580052500 725065625 928084000 1160105000 1450131250 2320210000 2900262500 4640420000 5800525000 11601050000 23202100000