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122001001093 = 415322321129
BaseRepresentation
bin111000110011111010…
…0111000101010000101
3102122220110101222222001
41301213310320222011
53444324224013333
6132014012505301
711546204253556
oct1614764705205
9378813358861
10122001001093
1147816425934
121b789a7b231
13b67392229a
145c94dc232d
1532909b4b7d
hex1c67d38a85

122001001093 has 24 divisors (see below), whose sum is σ = 128021546520. Its totient is φ = 116152957440.

The previous prime is 122001001091. The next prime is 122001001141. The reversal of 122001001093 is 390100100221.

It can be written as a sum of positive squares in 4 ways, for example, as 47789569 + 121953211524 = 6913^2 + 349218^2 .

It is not a de Polignac number, because 122001001093 - 21 = 122001001091 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122001001093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001001091) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 108060553 + ... + 108061681.

It is an arithmetic number, because the mean of its divisors is an integer number (5334231105).

Almost surely, 2122001001093 is an apocalyptic number.

It is an amenable number.

122001001093 is a deficient number, since it is larger than the sum of its proper divisors (6020545427).

122001001093 is an equidigital number, since it uses as much as digits as its factorization.

122001001093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The spelling of 122001001093 in words is "one hundred twenty-two billion, one million, one thousand, ninety-three".

Divisors: 1 41 53 223 1129 2173 9143 11819 46289 49729 59837 251767 484579 2038889 2453317 2635637 10322447 13343651 56144041 108061117 547089691 2301905681 2975634173 122001001093