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1053123225 = 352711172631
BaseRepresentation
bin111110110001010…
…110001010011001
32201101122012110220
4332301112022121
54124044420400
6252300030253
735045254050
oct7661261231
92641565426
101053123225
114a0508080
12254832389
1313a24a04b
149dc19397
15626c67a0
hex3ec56299

1053123225 has 144 divisors (see below), whose sum is σ = 2309661696. Its totient is φ = 411264000.

The previous prime is 1053123217. The next prime is 1053123233. The reversal of 1053123225 is 5223213501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1053123217) and next prime (1053123233).

It is not a de Polignac number, because 1053123225 - 23 = 1053123217 is a prime.

It is a super-2 number, since 2×10531232252 = 2218137054068801250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053123195 and 1053123204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1668660 + ... + 1669290.

Almost surely, 21053123225 is an apocalyptic number.

1053123225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1053123225 is an abundant number, since it is smaller than the sum of its proper divisors (1256538471).

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

1053123225 is a wasteful number, since it uses less digits than its factorization.

1053123225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1053123225 is about 32451.8601161782. The cubic root of 1053123225 is about 1017.4031162595.

Adding to 1053123225 its reverse (5223213501), we get a palindrome (6276336726).

The spelling of 1053123225 in words is "one billion, fifty-three million, one hundred twenty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 15 17 21 25 33 35 51 55 75 77 85 105 119 165 175 187 231 255 275 289 357 385 425 525 561 595 631 825 867 935 1155 1275 1309 1445 1785 1893 1925 2023 2805 2975 3155 3179 3927 4335 4417 4675 5775 6069 6545 6941 7225 8925 9465 9537 10115 10727 13251 14025 15775 15895 19635 20823 21675 22085 22253 30345 32181 32725 34705 47325 47685 48587 50575 53635 66255 66759 75089 79475 98175 104115 110425 111265 117997 145761 151725 160905 173525 182359 225267 238425 242935 268175 331275 333795 353991 375445 520575 547077 556325 589985 728805 804525 825979 911795 1126335 1214675 1276513 1668975 1769955 1877225 2005949 2477937 2735385 2949925 3644025 3829539 4129895 4558975 5631675 6017847 6382565 8849775 10029745 12389685 13676925 14041643 19147695 20649475 30089235 31912825 42124929 50148725 61948425 70208215 95738475 150446175 210624645 351041075 1053123225