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120655172202255 = 3353138974114107
BaseRepresentation
bin11011011011110000111000…
…101011011110111100001111
3120211012112002101212100201000
4123123300320223132330033
5111303303243040433010
61104340115414551343
734262022434052615
oct3333607053367417
9524175071770630
10120655172202255
1135498631263979
1211647945068553
1352429705592b2
1421b1a5492d6b5
15de37b7e877c0
hex6dbc38adef0f

120655172202255 has 64 divisors (see below), whose sum is σ = 221986576281600. Its totient is φ = 62113549956480.

The previous prime is 120655172202221. The next prime is 120655172202289. The reversal of 120655172202255 is 552202271556021.

120655172202255 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 551 + 7 + 2 + 20 + 22 + 55 = 666.

It is an interprime number because it is at equal distance from previous prime (120655172202221) and next prime (120655172202289).

It is not a de Polignac number, because 120655172202255 - 210 = 120655172201231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 120655172202255.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35429089 + ... + 38685018.

It is an arithmetic number, because the mean of its divisors is an integer number (3468540254400).

Almost surely, 2120655172202255 is an apocalyptic number.

120655172202255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120655172202255 is a deficient number, since it is larger than the sum of its proper divisors (101331404079345).

120655172202255 is a wasteful number, since it uses less digits than its factorization.

120655172202255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74114541 (or 74114535 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 120655172202255 in words is "one hundred twenty trillion, six hundred fifty-five billion, one hundred seventy-two million, two hundred two thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 27 31 45 93 135 155 279 389 465 837 1167 1395 1945 3501 4185 5835 10503 12059 17505 36177 52515 60295 108531 180885 325593 542655 1627965 74114107 222342321 370570535 667026963 1111711605 2001080889 2297537317 3335134815 6892611951 10005404445 11487686585 20677835853 28830387623 34463059755 62033507559 86491162869 103389179265 144151938115 259473488607 310167537795 432455814345 778420465821 893742016313 1297367443035 2681226048939 3892102329105 4468710081565 8043678146817 13406130244695 24131034440451 40218390734085 120655172202255