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1053121103332 = 2217731493134549
BaseRepresentation
bin11110101001100101110…
…10001100010111100100
310201200021211011001222121
433110302322030113210
5114223243000301312
62123444104035324
7136041215452264
oct17246272142744
93650254131877
101053121103332
11376698454091
12150128162b44
1378402841c6c
1438d854a57a4
151c5da122707
hexf532e8c5e4

1053121103332 has 96 divisors (see below), whose sum is σ = 1998179820000. Its totient is φ = 483859464192.

The previous prime is 1053121103323. The next prime is 1053121103339. The reversal of 1053121103332 is 2333011213501.

It can be written as a sum of positive squares in 16 ways, for example, as 395117845056 + 658003258276 = 628584^2 + 811174^2 .

It is a super-2 number, since 2×10531211033322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053121103297 and 1053121103306.

It is not an unprimeable number, because it can be changed into a prime (1053121103339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231503794 + ... + 231508342.

It is an arithmetic number, because the mean of its divisors is an integer number (20814373125).

Almost surely, 21053121103332 is an apocalyptic number.

It is an amenable number.

1053121103332 is a deficient number, since it is larger than the sum of its proper divisors (945058716668).

1053121103332 is a wasteful number, since it uses less digits than its factorization.

1053121103332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105 (or 5103 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

Adding to 1053121103332 its reverse (2333011213501), we get a palindrome (3386132316833).

The spelling of 1053121103332 in words is "one trillion, fifty-three billion, one hundred twenty-one million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 4 17 34 68 73 146 149 292 298 313 596 626 1241 1252 2482 2533 4549 4964 5066 5321 9098 10132 10642 10877 18196 21284 21754 22849 43508 45698 46637 77333 91396 93274 154666 184909 186548 309332 332077 369818 388433 664154 677801 739636 776866 792829 1328308 1355602 1423837 1553732 1585658 2711204 2847674 3171316 3404501 5645309 5695348 6809002 11290618 11522617 13618004 22581236 23045234 24205229 46090468 48410458 49479473 57876517 96820916 98958946 103940101 115753034 197917892 207880202 212151713 231506068 415760404 424303426 841151041 848606852 1682302082 1766981717 3364604164 3533963434 3606579121 7067926868 7213158242 14426316484 15487075049 30974150098 61948300196 263280275833 526560551666 1053121103332