Search a number
-
+
10030414032 = 243519135781
BaseRepresentation
bin10010101011101101…
…11111100011010000
3221220000222211100000
421111312333203100
5131020241222112
64335150330000
7503364053412
oct112566774320
927800884300
1010030414032
1142879a8581
121b3b1b9900
13c3b0a8a42
146b21dc9b2
153da8b97dc
hex255dbf8d0

10030414032 has 120 divisors (see below), whose sum is σ = 30643281760. Its totient is φ = 3167475840.

The previous prime is 10030414019. The next prime is 10030414039. The reversal of 10030414032 is 23041403001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10030413996 and 10030414014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10030414039) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5982 + ... + 141762.

Almost surely, 210030414032 is an apocalyptic number.

10030414032 is a gapful number since it is divisible by the number (12) 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 10030414032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321640880).

10030414032 is an abundant number, since it is smaller than the sum of its proper divisors (20612867728).

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

10030414032 is a wasteful number, since it uses less digits than its factorization.

10030414032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135823 (or 135805 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10030414032 its reverse (23041403001), we get a palindrome (33071817033).

The spelling of 10030414032 in words is "ten billion, thirty million, four hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 912 972 1026 1296 1368 1539 1944 2052 2736 3078 3888 4104 4617 6156 8208 9234 12312 18468 24624 36936 73872 135781 271562 407343 543124 814686 1086248 1222029 1629372 2172496 2444058 2579839 3258744 3666087 4888116 5159678 6517488 7332174 7739517 9776232 10319356 10998261 14664348 15479034 19552464 20638712 21996522 23218551 29328696 30958068 32994783 41277424 43993044 46437102 58657392 61916136 65989566 69655653 87986088 92874204 123832272 131979132 139311306 175972176 185748408 208966959 263958264 278622612 371496816 417933918 527916528 557245224 626900877 835867836 1114490448 1253801754 1671735672 2507603508 3343471344 5015207016 10030414032