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1255255100 = 22521131131281
BaseRepresentation
bin100101011010001…
…1010110000111100
310020110222120021122
41022310122300330
510032321130400
6324320250112
743051330601
oct11264326074
93213876248
101255255100
11594616810
122b0470938
1317009c7c8
14bc9d46a8
1575302685
hex4ad1ac3c

1255255100 has 144 divisors (see below), whose sum is σ = 3101801472. Its totient is φ = 436800000.

The previous prime is 1255255093. The next prime is 1255255103. The reversal of 1255255100 is 15525521.

It is a self number, because there is not a number n which added to its sum of digits gives 1255255100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255255103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4466960 + ... + 4467240.

It is an arithmetic number, because the mean of its divisors is an integer number (21540288).

Almost surely, 21255255100 is an apocalyptic number.

1255255100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255255100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550900736).

1255255100 is an abundant number, since it is smaller than the sum of its proper divisors (1846546372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1255255100 is a wasteful number, since it uses less digits than its factorization.

1255255100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 26.

The square root of 1255255100 is about 35429.5794499455. The cubic root of 1255255100 is about 1078.7248037916.

The spelling of 1255255100 in words is "one billion, two hundred fifty-five million, two hundred fifty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 131 155 220 262 275 281 310 341 524 550 562 620 655 682 775 1100 1124 1310 1364 1405 1441 1550 1705 2620 2810 2882 3091 3100 3275 3410 4061 5620 5764 6182 6550 6820 7025 7205 8122 8525 8711 12364 13100 14050 14410 15455 16244 17050 17422 20305 28100 28820 30910 34100 34844 36025 36811 40610 43555 44671 61820 72050 73622 77275 81220 87110 89342 95821 101525 144100 147244 154550 174220 178684 184055 191642 203050 217775 223355 309100 368110 383284 404921 406100 435550 446710 479105 736220 809842 871100 893420 920275 958210 1116775 1141141 1619684 1840550 1916420 2024605 2233550 2282282 2395525 3681100 4049210 4467100 4564564 4791050 5705705 8098420 9582100 10123025 11411410 12552551 20246050 22822820 25105102 28528525 40492100 50210204 57057050 62762755 114114100 125525510 251051020 313813775 627627550 1255255100