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202000106160 = 243251571786979
BaseRepresentation
bin1011110000100000100…
…1010000001010110000
3201022101201211121100100
42330020021100022300
511302144011344120
6232444135152400
720410515400206
oct2741011201260
9638351747310
10202000106160
11787388805a6
1233195515700
1316082802948
149ac39a7076
1553c3d58490
hex2f082502b0

202000106160 has 120 divisors (see below), whose sum is σ = 682704987120. Its totient is φ = 53523565056.

The previous prime is 202000106123. The next prime is 202000106171. The reversal of 202000106160 is 61601000202.

It is a happy number.

202000106160 is a `hidden beast` number, since 20 + 20 + 0 + 0 + 10 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 780450 + ... + 1006529.

It is an arithmetic number, because the mean of its divisors is an integer number (5689208226).

Almost surely, 2202000106160 is an apocalyptic number.

202000106160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202000106160 is an abundant number, since it is smaller than the sum of its proper divisors (480704880960).

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

202000106160 is a wasteful number, since it uses less digits than its factorization.

202000106160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787155 (or 1787146 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 202000106160 its reverse (61601000202), we get a palindrome (263601106362).

The spelling of 202000106160 in words is "two hundred two billion, one hundred six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 157 180 240 314 360 471 628 720 785 942 1256 1413 1570 1884 2355 2512 2826 3140 3768 4710 5652 6280 7065 7536 9420 11304 12560 14130 18840 22608 28260 37680 56520 113040 1786979 3573958 5360937 7147916 8934895 10721874 14295832 16082811 17869790 21443748 26804685 28591664 32165622 35739580 42887496 53609370 64331244 71479160 80414055 85774992 107218740 128662488 142958320 160828110 214437480 257324976 280555703 321656220 428874960 561111406 643312440 841667109 1122222812 1286624880 1402778515 1683334218 2244445624 2525001327 2805557030 3366668436 4208335545 4488891248 5050002654 5611114060 6733336872 8416671090 10100005308 11222228120 12625006635 13466673744 16833342180 20200010616 22444456240 25250013270 33666684360 40400021232 50500026540 67333368720 101000053080 202000106160