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106063434303300 = 223252125471939247
BaseRepresentation
bin11000000111011011010001…
…010100110100011101000100
3111220112120021002200120101200
4120013123101110310131010
5102400220403140201200
61013324511415022500
731224554530266255
oct3007332124643504
9456476232616350
10106063434303300
1130882282661581
12ba8b97966aa30
13472497b5a9646
141c296d7630b2c
15c3de4773b800
hex6076d1534744

106063434303300 has 108 divisors (see below), whose sum is σ = 332452945982976. Its totient is φ = 28283326948800.

The previous prime is 106063434303287. The next prime is 106063434303347. The reversal of 106063434303300 is 3303434360601.

106063434303300 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 6 + 3 + 4 + 343 + 0 + 3 + 300 = 666.

It is a super-2 number, since 2×1060634343033002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112454277 + ... + 113393523.

Almost surely, 2106063434303300 is an apocalyptic number.

106063434303300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106063434303300 is an abundant number, since it is smaller than the sum of its proper divisors (226389511679676).

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

106063434303300 is a wasteful number, since it uses less digits than its factorization.

106063434303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064738 (or 1064728 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

Adding to 106063434303300 its reverse (3303434360601), we get a palindrome (109366868663901).

The spelling of 106063434303300 in words is "one hundred six trillion, sixty-three billion, four hundred thirty-four million, three hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 125471 250942 376413 501884 627355 752826 939247 1129239 1254710 1505652 1878494 1882065 2258478 2509420 2817741 3136775 3756988 3764130 4516956 4696235 5635482 5646195 6273550 7528260 8453223 9392470 9410325 11270964 11292390 12547100 14088705 16906446 18784940 18820650 22584780 23481175 28177410 28230975 33812892 37641300 42266115 46962350 56354820 56461950 70443525 84532230 93924700 112923900 140887050 169064460 211330575 281774100 422661150 845322300 117848260337 235696520674 353544781011 471393041348 589241301685 707089562022 1060634343033 1178482603370 1414179124044 1767723905055 2121268686066 2356965206740 2946206508425 3535447810110 4242537372132 5303171715165 5892413016850 7070895620220 8838619525275 10606343430330 11784826033700 17677239050550 21212686860660 26515858575825 35354478101100 53031717151650 106063434303300