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1012110220032 = 2831724560041
BaseRepresentation
bin11101011101001100111…
…10000101101100000000
310120202102200221100021220
432232212132011230000
5113040300204020112
62052542414315040
7133060014631662
oct16564636055400
93522380840256
101012110220032
113602629194aa
121441a17b8a80
1374598211902
1436db4956532
151b4d9a0998c
hexeba6785b00

1012110220032 has 108 divisors (see below), whose sum is σ = 2861462835336. Its totient is φ = 317524705280.

The previous prime is 1012110220019. The next prime is 1012110220057. The reversal of 1012110220032 is 2300220112101.

It is a junction number, because it is equal to n+sod(n) for n = 1012110219993 and 1012110220020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2058069 + ... + 2501972.

Almost surely, 21012110220032 is an apocalyptic number.

1012110220032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012110220032 is an abundant number, since it is smaller than the sum of its proper divisors (1849352615304).

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

1012110220032 is an equidigital number, since it uses as much as digits as its factorization.

1012110220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560094 (or 4560063 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1012110220032 its reverse (2300220112101), we get a palindrome (3312330332133).

The spelling of 1012110220032 in words is "one trillion, twelve billion, one hundred ten million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 289 384 408 544 578 768 816 867 1088 1156 1632 1734 2176 2312 3264 3468 4352 4624 6528 6936 9248 13056 13872 18496 27744 36992 55488 73984 110976 221952 4560041 9120082 13680123 18240164 27360246 36480328 54720492 72960656 77520697 109440984 145921312 155041394 218881968 232562091 291842624 310082788 437763936 465124182 583685248 620165576 875527872 930248364 1167370496 1240331152 1317851849 1751055744 1860496728 2480662304 2635703698 3502111488 3720993456 3953555547 4961324608 5271407396 7441986912 7907111094 9922649216 10542814792 14883973824 15814222188 19845298432 21085629584 29767947648 31628444376 42171259168 59535895296 63256888752 84342518336 126513777504 168685036672 253027555008 337370073344 506055110016 1012110220032