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10130454101070 = 2325317307496919
BaseRepresentation
bin1001001101101010111000…
…0111100011110001001110
31022212110110202122020000100
42103122232013203301032
52311434132222213240
633313511045111530
72063621045041422
oct223325607436116
938773422566010
1010130454101070
11325633526aa96
1211774246b85a6
135863b41345c4
14270460a42b82
151287b2aa4e30
hex936ae1e3c4e

10130454101070 has 96 divisors (see below), whose sum is σ = 27192607303680. Its totient is φ = 2613947693760.

The previous prime is 10130454101063. The next prime is 10130454101071. The reversal of 10130454101070 is 7010145403101.

10130454101070 is a `hidden beast` number, since 1 + 0 + 13 + 0 + 4 + 541 + 0 + 107 + 0 = 666.

It is a super-2 number, since 2×101304541010702 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130454101071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20138071 + ... + 20634989.

It is an arithmetic number, because the mean of its divisors is an integer number (283256326080).

Almost surely, 210130454101070 is an apocalyptic number.

10130454101070 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 10130454101070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13596303651840).

10130454101070 is an abundant number, since it is smaller than the sum of its proper divisors (17062153202610).

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

10130454101070 is a wasteful number, since it uses less digits than its factorization.

10130454101070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504270 (or 504267 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 10130454101070 its reverse (7010145403101), we get a palindrome (17140599504171).

It can be divided in two parts, 1013045 and 4101070, that added together give a palindrome (5114115).

The spelling of 10130454101070 in words is "ten trillion, one hundred thirty billion, four hundred fifty-four million, one hundred one thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 7307 14614 21921 36535 43842 65763 73070 109605 131526 219210 226517 328815 453034 496919 657630 679551 993838 1132585 1359102 1490757 2038653 2265170 2484595 2981514 3397755 4077306 4472271 4969190 6795510 7453785 8944542 10193265 14907570 15404489 20386530 22361355 30808978 44722710 46213467 77022445 92426934 138640401 154044890 231067335 277280802 462134670 693202005 1386404010 3630987133 7261974266 10892961399 18154935665 21785922798 32678884197 36309871330 54464806995 65357768394 108929613990 112560601123 163394420985 225121202246 326788841970 337681803369 562803005615 675363606738 1013045410107 1125606011230 1688409016845 2026090820214 3376818033690 5065227050535 10130454101070