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122155074377157 = 317191971155155399
BaseRepresentation
bin11011110001100101110001…
…110100001101010111000101
3121000111220121011102110121210
4123301211301310031113011
5112002342043020032112
61111445133320002033
734505261422145043
oct3361456164152705
9530456534373553
10122155074377157
1135a16748a00878
121184a57b300319
135321235611013
1422244a11b3393
15e1c80195bb3c
hex6f1971d0d5c5

122155074377157 has 64 divisors (see below), whose sum is σ = 182471325696000. Its totient is φ = 72236155622400.

The previous prime is 122155074377129. The next prime is 122155074377159. The reversal of 122155074377157 is 751773470551221.

It is not a de Polignac number, because 122155074377157 - 210 = 122155074376133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 122155074377097 and 122155074377106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122155074377159) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2204977344 + ... + 2205032742.

It is an arithmetic number, because the mean of its divisors is an integer number (2851114464000).

Almost surely, 2122155074377157 is an apocalyptic number.

122155074377157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

122155074377157 is a deficient number, since it is larger than the sum of its proper divisors (60316251318843).

122155074377157 is a wasteful number, since it uses less digits than its factorization.

122155074377157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67186.

The product of its (nonzero) digits is 14406000, while the sum is 57.

The spelling of 122155074377157 in words is "one hundred twenty-two trillion, one hundred fifty-five billion, seventy-four million, three hundred seventy-seven thousand, one hundred fifty-seven".

Divisors: 1 3 17 19 51 57 197 323 591 969 3349 3743 10047 11229 11551 34653 55399 63631 166197 190893 196367 219469 589101 658407 941783 1052581 2275547 2825349 3157743 3730973 6826641 10913603 11192919 17893877 32740809 38684299 43235393 53681631 116052897 129706179 185531251 207358457 556593753 622075371 639913849 735001681 1919741547 2205005043 3525093769 10575281307 10878535433 12158363131 32635606299 36475089393 126063028253 206692173227 378189084759 620076519681 2143071480301 2395197536807 6429214440903 7185592610421 40718358125719 122155074377157