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10310571054 = 2337233073863
BaseRepresentation
bin10011001101000111…
…01101010000101110
3222121120011021112000
421212203231100232
5132104001233204
64423035153130
7513335256630
oct114643552056
928546137460
1010310571054
114411059703
121bb8ba57a6
13c84149a24
146db4c8a50
154052a9039
hex2668ed42e

10310571054 has 128 divisors (see below), whose sum is σ = 27420180480. Its totient is φ = 2807890272.

The previous prime is 10310571053. The next prime is 10310571079. The reversal of 10310571054 is 45017501301.

10310571054 = T92 + T93 + ... + T3954.

10310571054 is a `hidden beast` number, since 10 + 31 + 0 + 571 + 0 + 54 = 666.

10310571054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10310571053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2667127 + ... + 2670989.

It is an arithmetic number, because the mean of its divisors is an integer number (214220160).

Almost surely, 210310571054 is an apocalyptic number.

10310571054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10310571054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13710090240).

10310571054 is an abundant number, since it is smaller than the sum of its proper divisors (17109609426).

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

10310571054 is a wasteful number, since it uses less digits than its factorization.

10310571054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 10310571054 in words is "ten billion, three hundred ten million, five hundred seventy-one thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 307 322 378 414 483 614 621 921 966 1242 1449 1842 2149 2763 2898 3863 4298 4347 5526 6447 7061 7726 8289 8694 11589 12894 14122 16578 19341 21183 23178 27041 34767 38682 42366 49427 54082 58023 63549 69534 81123 88849 98854 104301 116046 127098 148281 162246 177698 190647 208602 243369 266547 296562 381294 444843 486738 533094 621943 730107 799641 889686 1185941 1243886 1334529 1460214 1599282 1865829 2371882 2398923 2669058 3557823 3731658 4797846 5597487 7115646 8301587 10673469 11194974 16603174 16792461 21346938 24904761 27276643 32020407 33584922 49809522 54553286 64040814 74714283 81829929 149428566 163659858 190936501 224142849 245489787 381873002 448285698 490979574 572809503 736469361 1145619006 1472938722 1718428509 3436857018 5155285527 10310571054