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1110111200020 = 2255373137104717
BaseRepresentation
bin10000001001110111110…
…010001010001100010100
310221010101120001221121101
4100021313302022030110
5121142001431400040
62205551131355444
7143126406336544
oct20116762121424
93833346057541
101110111200020
11398882917249
1215b191bb2b84
13808b582b074
143ba302d5324
151dd234c709a
hex10277c8a314

1110111200020 has 96 divisors (see below), whose sum is σ = 2425354329888. Its totient is φ = 426557693952.

The previous prime is 1110111199993. The next prime is 1110111200021. The reversal of 1110111200020 is 200021110111.

It can be written as a sum of positive squares in 16 ways, for example, as 275585101444 + 834526098576 = 524962^2 + 913524^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110111200021) 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 31 ways as a sum of consecutive naturals, for example, 10548702 + ... + 10653418.

It is an arithmetic number, because the mean of its divisors is an integer number (25264107603).

Almost surely, 21110111200020 is an apocalyptic number.

1110111200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110111200020 is an abundant number, since it is smaller than the sum of its proper divisors (1315243129868).

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

1110111200020 is a wasteful number, since it uses less digits than its factorization.

1110111200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104989 (or 104987 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1110111200020 its reverse (200021110111), we get a palindrome (1310132310131).

It can be divided in two parts, 1110111 and 200020, that added together give a palindrome (1310131).

The spelling of 1110111200020 in words is "one trillion, one hundred ten billion, one hundred eleven million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 53 73 106 137 146 212 265 274 292 365 530 548 685 730 1060 1370 1460 2740 3869 7261 7738 10001 14522 15476 19345 20002 29044 36305 38690 40004 50005 72610 77380 100010 104717 145220 200020 209434 418868 523585 530053 1047170 1060106 2094340 2120212 2650265 5300530 5550001 7644341 10601060 11100002 14346229 15288682 22200004 27750005 28692458 30577364 38221705 55500010 57384916 71731145 76443410 111000020 143462290 152886820 286924580 405150073 760350137 810300146 1047274717 1520700274 1620600292 2025750365 2094549434 3041400548 3801750685 4051500730 4189098868 5236373585 7603501370 8103001460 10472747170 15207002740 20945494340 55505560001 111011120002 222022240004 277527800005 555055600010 1110111200020