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2100232330020 = 22325115953178183
BaseRepresentation
bin11110100011111111100…
…110100001101100100100
321102210001210122210002100
4132203333212201230210
5233402233434030040
64244500003412100
7304510500152406
oct36437746415444
97383053583070
102100232330020
1173a781440970
1229b057684030
1312308823a7a6
147391a70ab76
153997280ab30
hex1e8ff9a1b24

2100232330020 has 144 divisors (see below), whose sum is σ = 6951066175872. Its totient is φ = 509058846720.

The previous prime is 2100232329989. The next prime is 2100232330073. The reversal of 2100232330020 is 200332320012.

It is a happy number.

2100232330020 is a `hidden beast` number, since 2 + 100 + 232 + 330 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×21002323300202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2100232329975 and 2100232330002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11697849 + ... + 11876031.

It is an arithmetic number, because the mean of its divisors is an integer number (48271292888).

Almost surely, 22100232330020 is an apocalyptic number.

2100232330020 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 2100232330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475533087936).

2100232330020 is an abundant number, since it is smaller than the sum of its proper divisors (4850833845852).

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

2100232330020 is a wasteful number, since it uses less digits than its factorization.

2100232330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184162 (or 184157 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2100232330020 its reverse (200332320012), we get a palindrome (2300564650032).

The spelling of 2100232330020 in words is "two trillion, one hundred billion, two hundred thirty-two million, three hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5953 11906 17859 23812 29765 35718 53577 59530 65483 71436 89295 107154 119060 130966 178183 178590 196449 214308 261932 267885 327415 356366 357180 392898 534549 535770 589347 654830 712732 785796 890915 982245 1069098 1071540 1178694 1309660 1603647 1781830 1960013 1964490 2138196 2357388 2672745 2946735 3207294 3563660 3920026 3928980 5345490 5880039 5893470 6414588 7840052 8018235 9800065 10690980 11760078 11786940 16036470 17640117 19600130 23520156 29400195 32072940 35280234 39200260 58800390 70560468 88200585 117600780 176401170 352802340 1060723399 2121446798 3182170197 4242893596 5303616995 6364340394 9546510591 10607233990 11667957389 12728680788 15910850985 19093021182 21214467980 23335914778 31821701970 35003872167 38186042364 46671829556 47732552955 58339786945 63643403940 70007744334 95465105910 105011616501 116679573890 140015488668 175019360835 190930211820 210023233002 233359147780 350038721670 420046466004 525058082505 700077443340 1050116165010 2100232330020