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261003106 = 2741337113
BaseRepresentation
bin11111000111010…
…01011101100010
3200012010022221201
433203221131202
51013304044411
641522111414
76316330000
oct1743513542
9605108851
10261003106
11124369551
12734ab56a
13420c5a10
1426941a70
1517da93c1
hexf8e9762

261003106 has 80 divisors (see below), whose sum is σ = 509625144. Its totient is φ = 99574272.

The previous prime is 261003101. The next prime is 261003107. The reversal of 261003106 is 601300162.

It can be written as a sum of positive squares in 4 ways, for example, as 156125025 + 104878081 = 12495^2 + 10241^2 .

It is not an unprimeable number, because it can be changed into a prime (261003101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2309706 + ... + 2309818.

Almost surely, 2261003106 is an apocalyptic number.

261003106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

261003106 is a deficient number, since it is larger than the sum of its proper divisors (248622038).

261003106 is a wasteful number, since it uses less digits than its factorization.

261003106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 261003106 is about 16155.5905494043. The cubic root of 261003106 is about 639.0701878798.

Adding to 261003106 its reverse (601300162), we get a palindrome (862303268).

The spelling of 261003106 in words is "two hundred sixty-one million, three thousand, one hundred six".

Divisors: 1 2 7 13 14 26 37 49 74 91 98 113 182 226 259 343 481 518 637 686 791 962 1274 1469 1582 1813 2401 2938 3367 3626 4181 4459 4802 5537 6734 8362 8918 10283 11074 12691 20566 23569 25382 29267 31213 38759 47138 54353 58534 62426 71981 77518 88837 108706 143962 164983 177674 204869 271313 329966 380471 409738 503867 542626 760942 1007734 1154881 1434083 2309762 2663297 2868166 3527069 5326594 7054138 10038581 18643079 20077162 37286158 130501553 261003106