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1030202312100 = 22352132141123379
BaseRepresentation
bin11101111110111001101…
…01111100010110100100
310122111010120101211212220
432333130311330112210
5113334323242441400
62105133550512340
7134300242112043
oct16773465742644
93574116354786
101030202312100
113679a7391005
121477b08056b0
13761bc547430
1437c0d6b655a
151bbe80047a0
hexefdcd7c5a4

1030202312100 has 144 divisors (see below), whose sum is σ = 3211530073920. Its totient is φ = 253467763200.

The previous prime is 1030202312089. The next prime is 1030202312107. The reversal of 1030202312100 is 12132020301.

It is a super-2 number, since 2×10302023121002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1030202312100.

It is not an unprimeable number, because it can be changed into a prime (1030202312107) 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, 8288211 + ... + 8411589.

It is an arithmetic number, because the mean of its divisors is an integer number (22302292180).

Almost surely, 21030202312100 is an apocalyptic number.

1030202312100 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 1030202312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605765036960).

1030202312100 is an abundant number, since it is smaller than the sum of its proper divisors (2181327761820).

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

1030202312100 is a wasteful number, since it uses less digits than its factorization.

1030202312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125550 (or 125543 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1030202312100 its reverse (12132020301), we get a palindrome (1042334332401).

The spelling of 1030202312100 in words is "one trillion, thirty billion, two hundred two million, three hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 2141 3900 4282 6423 8564 10705 12846 21410 25692 27833 32115 42820 53525 55666 64230 83499 107050 111332 123379 128460 139165 160575 166998 214100 246758 278330 321150 333996 370137 417495 493516 556660 616895 642300 695825 740274 834990 1233790 1391650 1480548 1603927 1669980 1850685 2087475 2467580 2783300 3084475 3207854 3701370 4174950 4811781 6168950 6415708 7402740 8019635 8349900 9253425 9623562 12337900 16039270 18506850 19247124 24058905 32078540 37013700 40098175 48117810 80196350 96235620 120294525 160392700 240589050 264154439 481178100 528308878 792463317 1056617756 1320772195 1584926634 2641544390 3169853268 3434007707 3962316585 5283088780 6603860975 6868015414 7924633170 10302023121 13207721950 13736030828 15849266340 17170038535 19811582925 20604046242 26415443900 34340077070 39623165850 41208092484 51510115605 68680154140 79246331700 85850192675 103020231210 171700385350 206040462420 257550578025 343400770700 515101156050 1030202312100