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10001200020120 = 2333574131124919
BaseRepresentation
bin1001000110001001010111…
…1110010111101010011000
31022102002211211021120222000
42101202111332113222120
52302324424201120440
633134253213401000
72051364026345241
oct221422576275230
938362754246860
1010001200020120
113206537753991
121156371799160
13577155958bba
142680bc665cc8
1512524a484730
hex91895f97a98

10001200020120 has 128 divisors (see below), whose sum is σ = 33338049984000. Its totient is φ = 2666929345920.

The previous prime is 10001200020079. The next prime is 10001200020127. The reversal of 10001200020120 is 2102000210001.

10001200020120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001200020127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79999021 + ... + 80123939.

It is an arithmetic number, because the mean of its divisors is an integer number (260453515500).

Almost surely, 210001200020120 is an apocalyptic number.

10001200020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001200020120 is an abundant number, since it is smaller than the sum of its proper divisors (23336849963880).

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

10001200020120 is a wasteful number, since it uses less digits than its factorization.

10001200020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199070 (or 199060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10001200020120 its reverse (2102000210001), we get a palindrome (12103200230121).

The spelling of 10001200020120 in words is "ten trillion, one billion, two hundred million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 74131 124919 148262 222393 249838 296524 370655 374757 444786 499676 593048 624595 667179 741310 749514 889572 999352 1111965 1124271 1249190 1334358 1482620 1499028 1779144 1873785 2001537 2223930 2248542 2498380 2668716 2965240 2998056 3335895 3372813 3747570 4003074 4447860 4497084 4996760 5337432 5621355 6671790 6745626 7495140 8006148 8895720 8994168 10007685 11242710 13343580 13491252 14990280 16012296 16864065 20015370 22485420 26687160 26982504 33728130 40030740 44970840 67456260 80061480 134912520 9260370389 18520740778 27781111167 37041481556 46301851945 55562222334 74082963112 83343333501 92603703890 111124444668 138905555835 166686667002 185207407780 222248889336 250030000503 277811111670 333373334004 370414815560 416716667505 500060001006 555622223340 666746668008 833433335010 1000120002012 1111244446680 1250150002515 1666866670020 2000240004024 2500300005030 3333733340040 5000600010060 10001200020120