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45010135512030 = 23513271613369439
BaseRepresentation
bin10100011101111101111010…
…01000110111001111011110
312220100221000201210111102010
422032332331020313033132
521344421224142341110
6235421212032012050
712323606055166503
oct1216767510671736
9186327021714363
1045010135512030
11133837670a2857
12506b323391026
131c1658c444810
14b18705dbb4aa
15530c3c168020
hex28efbd2373de

45010135512030 has 128 divisors (see below), whose sum is σ = 116783885352960. Its totient is φ = 11036575710720.

The previous prime is 45010135511977. The next prime is 45010135512031. The reversal of 45010135512030 is 3021553101054.

It is a super-2 number, since 2×450101355120302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45010135512031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 648162051 + ... + 648231489.

It is an arithmetic number, because the mean of its divisors is an integer number (912374104320).

Almost surely, 245010135512030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45010135512030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58391942676480).

45010135512030 is an abundant number, since it is smaller than the sum of its proper divisors (71773749840930).

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

45010135512030 is a wasteful number, since it uses less digits than its factorization.

45010135512030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75866.

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 45010135512030 its reverse (3021553101054), we get a palindrome (48031688613084).

The spelling of 45010135512030 in words is "forty-five trillion, ten billion, one hundred thirty-five million, five hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 271 390 542 813 1355 1626 2710 3523 4065 6133 7046 8130 10569 12266 17615 18399 21138 30665 35230 36798 52845 61330 69439 79729 91995 105690 138878 159458 183990 208317 239187 347195 398645 416634 478374 694390 797290 902707 1041585 1195935 1662043 1805414 2083170 2391870 2708121 3324086 4513535 4986129 5416242 8310215 9027070 9972258 13540605 16620430 18817969 21606559 24930645 27081210 37635938 43213118 49861290 56453907 64819677 94089845 108032795 112907814 129639354 188179690 216065590 244633597 282269535 324098385 425869387 489267194 564539070 648196770 733900791 851738774 1223167985 1277608161 1467801582 2129346935 2446335970 2555216322 3669503955 4258693870 5536302031 6388040805 7339007910 11072604062 12776081610 16608906093 27681510155 33217812186 55363020310 83044530465 115410603877 166089060930 230821207754 346231811631 577053019385 692463623262 1154106038770 1500337850401 1731159058155 3000675700802 3462318116310 4501013551203 7501689252005 9002027102406 15003378504010 22505067756015 45010135512030