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23303130032100 = 223525871129117209
BaseRepresentation
bin1010100110001101011101…
…10010011010011111100100
310001111202110012100220200210
411103012232302122133210
511023244302242011400
6121321150554135420
74623411200030352
oct523065662323744
9101452405326623
1023303130032100
1174748904344a6
122744377121570
131000625254029
145a7c3dc6a7d2
152a627b965950
hex1531aec9a7e4

23303130032100 has 144 divisors (see below), whose sum is σ = 67598982763200. Its totient is φ = 6198034053120.

The previous prime is 23303130032069. The next prime is 23303130032167. The reversal of 23303130032100 is 123003130332.

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, 198758296 + ... + 198875504.

It is an arithmetic number, because the mean of its divisors is an integer number (469437380300).

Almost surely, 223303130032100 is an apocalyptic number.

23303130032100 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 23303130032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33799491381600).

23303130032100 is an abundant number, since it is smaller than the sum of its proper divisors (44295852731100).

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

23303130032100 is a wasteful number, since it uses less digits than its factorization.

23303130032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118942 (or 118935 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 23303130032100 its reverse (123003130332), we get a palindrome (23426133162432).

The spelling of 23303130032100 in words is "twenty-three trillion, three hundred three billion, one hundred thirty million, thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 587 1129 1174 1761 2258 2348 2935 3387 3522 4516 5645 5870 6774 7044 8805 11290 11740 13548 14675 16935 17610 22580 28225 29350 33870 35220 44025 56450 58700 67740 84675 88050 112900 117209 169350 176100 234418 338700 351627 468836 586045 662723 703254 1172090 1325446 1406508 1758135 1988169 2344180 2650892 2930225 3313615 3516270 3976338 5860450 6627230 7032540 7952676 8790675 9940845 11720900 13254460 16568075 17581350 19881690 33136150 35162700 39763380 49704225 66272300 68801683 99408450 132328961 137603366 198816900 206405049 264657922 275206732 344008415 396986883 412810098 529315844 661644805 688016830 793973766 825620196 1032025245 1323289610 1376033660 1587947532 1720042075 1984934415 2064050490 2646579220 3308224025 3440084150 3969868830 4128100980 5160126225 6616448050 6880168300 7939737660 9924672075 10320252450 13232896100 19849344150 20640504900 39698688300 77677100107 155354200214 233031300321 310708400428 388385500535 466062600642 776771001070 932125201284 1165156501605 1553542002140 1941927502675 2330313003210 3883855005350 4660626006420 5825782508025 7767710010700 11651565016050 23303130032100