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99023352100 = 22525971972437
BaseRepresentation
bin101110000111001000…
…0000111000100100100
3100110121002220111012021
41130032100013010210
53110244434231400
6113253554032524
710103614414351
oct1341620070444
9313532814167
1099023352100
1138aa5112082
1217236878744
13945138a68a
144b15471628
15289861c71a
hex170e407124

99023352100 has 144 divisors (see below), whose sum is σ = 223976914560. Its totient is φ = 37978214400.

The previous prime is 99023352091. The next prime is 99023352143. The reversal of 99023352100 is 125332099.

It is a super-2 number, since 2×990233521002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40632082 + ... + 40634518.

It is an arithmetic number, because the mean of its divisors is an integer number (1555395240).

Almost surely, 299023352100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99023352100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111988457280).

99023352100 is an abundant number, since it is smaller than the sum of its proper divisors (124953562460).

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

99023352100 is a wasteful number, since it uses less digits than its factorization.

99023352100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

Adding to 99023352100 its reverse (125332099), we get a palindrome (99148684199).

The spelling of 99023352100 in words is "ninety-nine billion, twenty-three million, three hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 71 97 100 118 142 194 236 284 295 355 388 485 590 710 970 1180 1420 1475 1775 1940 2425 2437 2950 3550 4189 4850 4874 5723 5900 6887 7100 8378 9700 9748 11446 12185 13774 16756 20945 22892 24370 27548 28615 34435 41890 48740 57230 60925 68870 83780 104725 114460 121850 137740 143075 143783 172175 173027 209450 236389 243700 286150 287566 344350 346054 406333 418900 472778 572300 575132 688700 692108 718915 812666 865135 945556 1181945 1437830 1625332 1730270 2031665 2363890 2875660 3460540 3594575 4063330 4325675 4727780 5909725 7189150 8126660 8651350 10158325 10208593 11819450 13946951 14378300 16783619 17302700 20316650 20417186 23638900 27893902 33567238 40633300 40834372 51042965 55787804 67134476 69734755 83918095 102085930 139469510 167836190 204171860 255214825 278939020 335672380 348673775 419590475 510429650 697347550 839180950 990233521 1020859300 1394695100 1678361900 1980467042 3960934084 4951167605 9902335210 19804670420 24755838025 49511676050 99023352100