Search a number
-
+
10430030240100 = 2233524639832717
BaseRepresentation
bin1001011111000110111000…
…1111110101100101100100
31100221002201201222212211000
42113301232033311211210
52331341200220140400
634103253441313300
72124354605152602
oct227615617654544
940832651885730
1010430030240100
113361395184269
1212054b0035830
135a87171b8cb3
14280b5d76c872
15131497e3a600
hex97c6e3f5964

10430030240100 has 144 divisors (see below), whose sum is σ = 33537883993600. Its totient is φ = 2780738501760.

The previous prime is 10430030240027. The next prime is 10430030240107. The reversal of 10430030240100 is 104203003401.

10430030240100 is a `hidden beast` number, since 10 + 4 + 300 + 302 + 40 + 10 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10430030240107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12108942 + ... + 12941658.

Almost surely, 210430030240100 is an apocalyptic number.

10430030240100 is a gapful number since it is divisible by the number (10) 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 10430030240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16768941996800).

10430030240100 is an abundant number, since it is smaller than the sum of its proper divisors (23107853753500).

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

10430030240100 is a wasteful number, since it uses less digits than its factorization.

10430030240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837379 (or 837366 counting only the distinct ones).

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

Adding to 10430030240100 its reverse (104203003401), we get a palindrome (10534233243501).

The spelling of 10430030240100 in words is "ten trillion, four hundred thirty billion, thirty million, two hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4639 9278 13917 18556 23195 27834 41751 46390 55668 69585 83502 92780 115975 125253 139170 167004 208755 231950 250506 278340 347925 417510 463900 501012 626265 695850 832717 835020 1043775 1252530 1391700 1665434 2087550 2498151 2505060 3131325 3330868 4163585 4175100 4996302 6262650 7494453 8327170 9992604 12490755 12525300 14988906 16654340 20817925 22483359 24981510 29977812 37472265 41635850 44966718 49963020 62453775 74944530 83271700 89933436 112416795 124907550 149889060 187361325 224833590 249815100 374722650 449667180 562083975 749445300 1124167950 2248335900 3862974163 7725948326 11588922489 15451896652 19314870815 23177844978 34766767467 38629741630 46355689956 57944612445 69533534934 77259483260 96574354075 104300302401 115889224890 139067069868 173833837335 193148708150 208600604802 231778449780 289723062225 347667674670 386297416300 417201209604 521501512005 579446124450 695335349340 869169186675 1043003024010 1158892248900 1738338373350 2086006048020 2607507560025 3476676746700 5215015120050 10430030240100