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1020211133123 = 7133179370603
BaseRepresentation
bin11101101100010010101…
…00100111101011000011
310121112100021020100221002
432312021110213223003
5113203343022224443
62100402321122215
7133464532356260
oct16661124475303
93545307210832
101020211133123
1136373a6513a6
1214588278936b
1375289628000
14375427ac267
151b810cda2b8
hexed89527ac3

1020211133123 has 32 divisors (see below), whose sum is σ = 1270134028800. Its totient is φ = 802688354208.

The previous prime is 1020211133107. The next prime is 1020211133159. The reversal of 1020211133123 is 3213311120201.

It is a happy number.

It is not a de Polignac number, because 1020211133123 - 24 = 1020211133107 is a prime.

It is a super-2 number, since 2×10202111331232 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020211133095 and 1020211133104.

It is not an unprimeable number, because it can be changed into a prime (1020211133023) 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, 2567540 + ... + 2938142.

It is an arithmetic number, because the mean of its divisors is an integer number (39691688400).

Almost surely, 21020211133123 is an apocalyptic number.

1020211133123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1020211133123 is a deficient number, since it is larger than the sum of its proper divisors (249922895677).

1020211133123 is an equidigital number, since it uses as much as digits as its factorization.

1020211133123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370828 (or 370802 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1020211133123 its reverse (3213311120201), we get a palindrome (4233522253324).

The spelling of 1020211133123 in words is "one trillion, twenty billion, two hundred eleven million, one hundred thirty-three thousand, one hundred twenty-three".

Divisors: 1 7 13 91 169 179 1183 1253 2197 2327 15379 16289 30251 211757 370603 393263 2594221 2752841 4817839 33724873 62631907 66337937 438423349 464365559 814214791 862393181 5699503537 6036752267 11211111353 78477779471 145744447589 1020211133123