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1003011114 = 23747539587
BaseRepresentation
bin111011110010001…
…011110000101010
32120220100020120210
4323302023300222
54023232323424
6243310001550
733566311440
oct7362136052
92526306523
101003011114
114751a0106
1223baa62b6
1312ca52901
14972d2b90
155d0c8729
hex3bc8bc2a

1003011114 has 64 divisors (see below), whose sum is σ = 2385801216. Its totient is φ = 275156544.

The previous prime is 1003011091. The next prime is 1003011193. The reversal of 1003011114 is 4111103001.

It is a self number, because there is not a number n which added to its sum of digits gives 1003011114.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99829 + ... + 109415.

It is an arithmetic number, because the mean of its divisors is an integer number (37278144).

Almost surely, 21003011114 is an apocalyptic number.

1003011114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003011114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192900608).

1003011114 is an abundant number, since it is smaller than the sum of its proper divisors (1382790102).

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

1003011114 is a wasteful number, since it uses less digits than its factorization.

1003011114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9699.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1003011114 is about 31670.3507085097. The cubic root of 1003011114 is about 1001.0026989255.

Adding to 1003011114 its reverse (4111103001), we get a palindrome (5114114115).

The spelling of 1003011114 in words is "one billion, three million, eleven thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 47 53 94 106 141 159 282 318 329 371 658 742 987 1113 1974 2226 2491 4982 7473 9587 14946 17437 19174 28761 34874 52311 57522 67109 104622 134218 201327 402654 450589 508111 901178 1016222 1351767 1524333 2703534 3048666 3154123 3556777 6308246 7113554 9462369 10670331 18924738 21340662 23881217 47762434 71643651 143287302 167168519 334337038 501505557 1003011114