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10201223001100 = 22524114916698679
BaseRepresentation
bin1001010001110010100001…
…0001011111010000001100
31100010020010202210211102211
42110130220101133100030
52314114101042013400
633410213244200204
72102004546545215
oct224345021372014
940106122724384
1010201223001100
11328335049102a
121189094b39064
1358cc81963291
14273a5580a40c
1512a555947dba
hex9472845f40c

10201223001100 has 72 divisors (see below), whose sum is σ = 22828765428000. Its totient is φ = 3954246950400.

The previous prime is 10201223001071. The next prime is 10201223001121. The reversal of 10201223001100 is 110032210201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7738440 + ... + 8960239.

It is an arithmetic number, because the mean of its divisors is an integer number (317066186500).

Almost surely, 210201223001100 is an apocalyptic number.

10201223001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201223001100 is an abundant number, since it is smaller than the sum of its proper divisors (12627542426900).

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

10201223001100 is a wasteful number, since it uses less digits than its factorization.

10201223001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16698883 (or 16698876 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10201223001100 its reverse (110032210201), we get a palindrome (10311255211301).

The spelling of 10201223001100 in words is "ten trillion, two hundred one billion, two hundred twenty-three million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 149 164 205 298 410 596 745 820 1025 1490 2050 2980 3725 4100 6109 7450 12218 14900 24436 30545 61090 122180 152725 305450 610900 16698679 33397358 66794716 83493395 166986790 333973580 417466975 684645839 834933950 1369291678 1669867900 2488103171 2738583356 3423229195 4976206342 6846458390 9952412684 12440515855 13692916780 17116145975 24881031710 34232291950 49762063420 62202579275 68464583900 102012230011 124405158550 204024460022 248810317100 408048920044 510061150055 1020122300110 2040244600220 2550305750275 5100611500550 10201223001100