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200201020011120 = 243531313811929821
BaseRepresentation
bin101101100001010011101110…
…101011100111001001110000
3222020212000211022020200021110
4231201103232223213021300
5202220043142110323440
61545443025013553320
760112021623236052
oct5541235653471160
9866760738220243
10200201020011120
1158876859625a47
121a554370645840
138792b4ba0371b
143761ad13818d2
151822a4bd49080
hexb614eeae7270

200201020011120 has 160 divisors (see below), whose sum is σ = 623057143558464. Its totient is φ = 53177811148800.

The previous prime is 200201020011077. The next prime is 200201020011173. The reversal of 200201020011120 is 21110020102002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200201020011096 and 200201020011105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102775810 + ... + 104705630.

Almost surely, 2200201020011120 is an apocalyptic number.

200201020011120 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 200201020011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311528571779232).

200201020011120 is an abundant number, since it is smaller than the sum of its proper divisors (422856123547344).

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

200201020011120 is a wasteful number, since it uses less digits than its factorization.

200201020011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931531 (or 1931525 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200201020011120 its reverse (21110020102002), we get a palindrome (221311040113122).

The spelling of 200201020011120 in words is "two hundred trillion, two hundred one billion, twenty million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 313 626 939 1252 1381 1565 1878 2504 2762 3130 3756 4143 4695 5008 5524 6260 6905 7512 8286 9390 11048 12520 13810 15024 16572 18780 20715 22096 25040 27620 33144 37560 41430 55240 66288 75120 82860 110480 165720 331440 432253 864506 1296759 1729012 1929821 2161265 2593518 3458024 3859642 4322530 5187036 5789463 6483795 6916048 7719284 8645060 9649105 10374072 11578926 12967590 15438568 17290120 19298210 20748144 23157852 25935180 28947315 30877136 34580240 38596420 46315704 51870360 57894630 77192840 92631408 103740720 115789260 154385680 231578520 463157040 604033973 1208067946 1812101919 2416135892 2665082801 3020169865 3624203838 4832271784 5330165602 6040339730 7248407676 7995248403 9060509595 9664543568 10660331204 12080679460 13325414005 14496815352 15990496806 18121019190 21320662408 24161358920 26650828010 28993630704 31980993612 36242038380 39976242015 42641324816 48322717840 53301656020 63961987224 72484076760 79952484030 106603312040 127923974448 144968153520 159904968060 213206624080 319809936120 639619872240 834170916713 1668341833426 2502512750139 3336683666852 4170854583565 5005025500278 6673367333704 8341709167130 10010051000556 12512563750695 13346734667408 16683418334260 20020102001112 25025127501390 33366836668520 40040204002224 50050255002780 66733673337040 100100510005560 200201020011120