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10145334150 = 23252717318617
BaseRepresentation
bin10010111001011010…
…11000001110000110
3222012001020101002200
421130231120032012
5131234201143100
64354413415330
7506260626450
oct113455301606
928161211080
1010145334150
11433685a786
121b7179a546
13c58b44703
146c35952d0
153e5a19e00
hex25cb58386

10145334150 has 144 divisors (see below), whose sum is σ = 31332753504. Its totient is φ = 2305405440.

The previous prime is 10145334119. The next prime is 10145334163. The reversal of 10145334150 is 5143354101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 535642 + ... + 554258.

It is an arithmetic number, because the mean of its divisors is an integer number (217588566).

Almost surely, 210145334150 is an apocalyptic number.

10145334150 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 10145334150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15666376752).

10145334150 is an abundant number, since it is smaller than the sum of its proper divisors (21187419354).

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

10145334150 is a wasteful number, since it uses less digits than its factorization.

10145334150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18815 (or 18807 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10145334150 its reverse (5143354101), we get a palindrome (15288688251).

The spelling of 10145334150 in words is "ten billion, one hundred forty-five million, three hundred thirty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 173 175 210 225 315 346 350 450 519 525 630 865 1038 1050 1211 1557 1575 1730 2422 2595 3114 3150 3633 4325 5190 6055 7266 7785 8650 10899 12110 12975 15570 18165 18617 21798 25950 30275 36330 37234 38925 54495 55851 60550 77850 90825 93085 108990 111702 130319 167553 181650 186170 260638 272475 279255 335106 390957 465425 544950 558510 651595 781914 837765 930850 1172871 1303190 1396275 1675530 1954785 2345742 2792550 3220741 3257975 3909570 4188825 5864355 6441482 6515950 8377650 9662223 9773925 11728710 16103705 19324446 19547850 22545187 28986669 29321775 32207410 45090374 48311115 57973338 58643550 67635561 80518525 96622230 112725935 135271122 144933345 161037050 202906683 225451870 241555575 289866690 338177805 405813366 483111150 563629675 676355610 724666725 1014533415 1127259350 1449333450 1690889025 2029066830 3381778050 5072667075 10145334150