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1030214010 = 235719318329
BaseRepresentation
bin111101011001111…
…101000101111010
32122210112021221110
4331121331011322
54102213322020
6250121021150
734346450250
oct7531750572
92583467843
101030214010
11489590041
122490247b6
131355886b7
149ab745d0
156069d8e0
hex3d67d17a

1030214010 has 128 divisors (see below), whose sum is σ = 3070771200. Its totient is φ = 215861760.

The previous prime is 1030213997. The next prime is 1030214023. The reversal of 1030214010 is 104120301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1030213997) and next prime (1030214023).

It is a super-2 number, since 2×10302140102 = 2122681812800560200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119526 + ... + 127854.

It is an arithmetic number, because the mean of its divisors is an integer number (23990400).

Almost surely, 21030214010 is an apocalyptic number.

1030214010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030214010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535385600).

1030214010 is an abundant number, since it is smaller than the sum of its proper divisors (2040557190).

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

1030214010 is a wasteful number, since it uses less digits than its factorization.

1030214010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8396.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1030214010 is about 32096.9470510826. The cubic root of 1030214010 is about 1009.9715738822.

Adding to 1030214010 its reverse (104120301), we get a palindrome (1134334311).

The spelling of 1030214010 in words is "one billion, thirty million, two hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 31 35 38 42 57 62 70 93 95 105 114 133 155 186 190 210 217 266 285 310 399 434 465 570 589 651 665 798 930 1085 1178 1302 1330 1767 1995 2170 2945 3255 3534 3990 4123 5890 6510 8246 8329 8835 12369 16658 17670 20615 24738 24987 41230 41645 49974 58303 61845 83290 116606 123690 124935 158251 174909 249870 258199 291515 316502 349818 474753 516398 583030 774597 791255 874545 949506 1107757 1290995 1549194 1582510 1749090 1807393 2215514 2373765 2581990 3323271 3614786 3872985 4747530 4905781 5422179 5538785 6646542 7745970 9036965 9811562 10844358 11077570 14717343 16616355 18073930 24528905 27110895 29434686 33232710 34340467 49057810 54221790 68680934 73586715 103021401 147173430 171702335 206042802 343404670 515107005 1030214010