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255135101881 = 1124729772
BaseRepresentation
bin1110110110011100111…
…1001011001110111001
3220101112210201001121211
43231213033023032321
513140004041230011
6313112450403121
724301325404162
oct3554717131671
9811483631554
10255135101881
1199225128300
12415442904a1
131b09cc0150a
14c4c4800769
156983a5ab21
hex3b673cb3b9

255135101881 has 27 divisors (see below), whose sum is σ = 286825046767. Its totient is φ = 226773736640.

The previous prime is 255135101843. The next prime is 255135101911. The reversal of 255135101881 is 188101531552.

The square root of 255135101881 is 505109.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 238695759225 + 16439342656 = 488565^2 + 128216^2 .

It is not a de Polignac number, because 255135101881 - 223 = 255126713273 is a prime.

It is a super-2 number, since 2×2551351018812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (255135101281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 261140865 + ... + 261141841.

Almost surely, 2255135101881 is an apocalyptic number.

255135101881 is the 505109-th square number.

255135101881 is the 252555-th centered octagonal number.

It is an amenable number.

255135101881 is a deficient number, since it is larger than the sum of its proper divisors (31689944886).

255135101881 is an frugal number, since it uses more digits than its factorization.

255135101881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 40.

The spelling of 255135101881 in words is "two hundred fifty-five billion, one hundred thirty-five million, one hundred one thousand, eight hundred eighty-one".

Divisors: 1 11 47 121 517 977 2209 5687 10747 24299 45919 118217 267289 505109 954529 2158193 5556199 10499819 23740123 44862863 115498009 261141353 493491493 2108554561 5428406423 23194100171 255135101881