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1010601110050 = 252722695572753
BaseRepresentation
bin11101011010011001000…
…01010010101000100010
310120121112112021121120121
432231030201102220202
5113024202341010200
62052132545030454
7133004431462300
oct16551441225042
93517475247517
101010601110050
1135a658a86874
12143a4032542a
13743b767cc1c
1436cb0361270
151b44c2b0e1a
hexeb4c852a22

1010601110050 has 144 divisors (see below), whose sum is σ = 2199478409640. Its totient is φ = 344458813440.

The previous prime is 1010601110047. The next prime is 1010601110059. The reversal of 1010601110050 is 500111060101.

It can be written as a sum of positive squares in 12 ways, for example, as 19263321 + 1010581846729 = 4389^2 + 1005277^2 .

It is a super-2 number, since 2×10106011100502 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010601110059) 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 71 ways as a sum of consecutive naturals, for example, 367089474 + ... + 367092226.

Almost surely, 21010601110050 is an apocalyptic number.

1010601110050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010601110050 is an abundant number, since it is smaller than the sum of its proper divisors (1188877299590).

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

1010601110050 is a wasteful number, since it uses less digits than its factorization.

1010601110050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 1010601110050 its reverse (500111060101), we get a palindrome (1510712170151).

The spelling of 1010601110050 in words is "one trillion, ten billion, six hundred one million, one hundred ten thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 269 350 490 538 557 1114 1225 1345 1883 2450 2690 2753 2785 3766 3899 5506 5570 6725 7798 9415 13181 13450 13765 13925 18830 19271 19495 26362 27293 27530 27850 38542 38990 47075 54586 65905 68825 94150 96355 97475 131810 134897 136465 137650 149833 192710 194950 269794 272930 299666 329525 481775 659050 674485 682325 740557 749165 963550 1048831 1348970 1364650 1481114 1498330 1533421 2097662 3066842 3372425 3702785 3745825 5183899 5244155 6744850 7341817 7405570 7491650 7667105 10367798 10488310 10733947 14683634 15334210 18513925 21467894 25919495 26220775 36287293 36709085 37027850 38335525 51838990 52441550 53669735 72574586 73418170 75137629 76671050 107339470 129597475 150275258 181436465 183545425 259194950 268348675 362872930 367090850 375688145 412490249 536697350 751376290 824980498 907182325 1814364650 1878440725 2062451245 2887431743 3756881450 4124902490 5774863486 10312256225 14437158715 20212022201 20624512450 28874317430 40424044402 72185793575 101060111005 144371587150 202120222010 505300555025 1010601110050