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10332030100 = 22527232922129
BaseRepresentation
bin10011001111101011…
…00100010010010100
3222200001112111210111
421213311210102110
5132124444430400
64425123132404
7514015543510
oct114765442224
928601474714
1010332030100
114422186157
122004214104
13c887212a2
147002b3140
154070e73ba
hex267d64494

10332030100 has 144 divisors (see below), whose sum is σ = 27660729600. Its totient is φ = 3271403520.

The previous prime is 10332030097. The next prime is 10332030101. The reversal of 10332030100 is 103023301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332030101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455836 + ... + 477964.

It is an arithmetic number, because the mean of its divisors is an integer number (192088400).

Almost surely, 210332030100 is an apocalyptic number.

10332030100 is a gapful number since it is divisible by the number (10) 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 10332030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13830364800).

10332030100 is an abundant number, since it is smaller than the sum of its proper divisors (17328699500).

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

10332030100 is a wasteful number, since it uses less digits than its factorization.

10332030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22202 (or 22195 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 10332030100 its reverse (103023301), we get a palindrome (10435053401).

The spelling of 10332030100 in words is "ten billion, three hundred thirty-two million, thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 29 35 46 50 58 70 92 100 115 116 140 145 161 175 203 230 290 322 350 406 460 575 580 644 667 700 725 805 812 1015 1150 1334 1450 1610 2030 2300 2668 2900 3220 3335 4025 4060 4669 5075 6670 8050 9338 10150 13340 16100 16675 18676 20300 22129 23345 33350 44258 46690 66700 88516 93380 110645 116725 154903 221290 233450 309806 442580 466900 508967 553225 619612 641741 774515 1017934 1106450 1283482 1549030 2035868 2212900 2544835 2566964 3098060 3208705 3562769 3872575 4492187 5089670 6417410 7125538 7745150 8984374 10179340 12724175 12834820 14251076 14760043 15490300 16043525 17813845 17968748 22460935 25448350 29520086 32087050 35627690 44921870 50896700 59040172 64174100 71255380 73800215 89069225 89843740 103320301 112304675 147600430 178138450 206640602 224609350 295200860 356276900 369001075 413281204 449218700 516601505 738002150 1033203010 1476004300 2066406020 2583007525 5166015050 10332030100