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2212113211020 = 2232512796767857
BaseRepresentation
bin100000001100001100001…
…110001101111010001100
321211110211222021102010200
4200030030032031322030
5242220401440223040
64412121503133500
7315551141023056
oct40141416157214
97743758242120
102212113211020
11783174268789
122b88802a4290
131307a8305b1b
14790d161c8d6
153c81ead6630
hex2030c38de8c

2212113211020 has 72 divisors (see below), whose sum is σ = 6762912059904. Its totient is φ = 585251993088.

The previous prime is 2212113211019. The next prime is 2212113211043. The reversal of 2212113211020 is 201123112122.

2212113211020 is a `hidden beast` number, since 221 + 21 + 1 + 321 + 102 + 0 = 666.

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 = 2212113210984 and 2212113211002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48361069 + ... + 48406788.

Almost surely, 22212113211020 is an apocalyptic number.

2212113211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212113211020 is an abundant number, since it is smaller than the sum of its proper divisors (4550798848884).

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

2212113211020 is a wasteful number, since it uses less digits than its factorization.

2212113211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96767999 (or 96767994 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2212113211020 its reverse (201123112122), we get a palindrome (2413236323142).

The spelling of 2212113211020 in words is "two trillion, two hundred twelve billion, one hundred thirteen million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 7620 11430 22860 96767857 193535714 290303571 387071428 483839285 580607142 870910713 967678570 1161214284 1451517855 1741821426 1935357140 2903035710 3483642852 4354553565 5806071420 8709107130 12289517839 17418214260 24579035678 36868553517 49158071356 61447589195 73737107034 110605660551 122895178390 147474214068 184342767585 221211321102 245790356780 368685535170 442422642204 553028302755 737371070340 1106056605510 2212113211020