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1103436043520 = 2851773694649
BaseRepresentation
bin10000000011101001111…
…010011101010100000000
310220111011100120212022212
4100003221322131110000
5121034314111343040
62202524515521252
7142502113421066
oct20035172352400
93814140525285
101103436043520
11395a67975388
12159a2a5b9228
1380090910b15
143b599978036
151da82477d65
hex100e9e9d500

1103436043520 has 144 divisors (see below), whose sum is σ = 2836889470800. Its totient is φ = 409720061952.

The previous prime is 1103436043513. The next prime is 1103436043543. The reversal of 1103436043520 is 253406343011.

It can be written as a sum of positive squares in 8 ways, for example, as 56628769024 + 1046807274496 = 237968^2 + 1023136^2 .

It is a super-2 number, since 2×11034360435202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1241156 + ... + 1935804.

It is an arithmetic number, because the mean of its divisors is an integer number (19700621325).

Almost surely, 21103436043520 is an apocalyptic number.

1103436043520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103436043520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418444735400).

1103436043520 is an abundant number, since it is smaller than the sum of its proper divisors (1733453427280).

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

1103436043520 is an equidigital number, since it uses as much as digits as its factorization.

1103436043520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694760 (or 694746 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 1103436043520 in words is "one trillion, one hundred three billion, four hundred thirty-six million, forty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 73 80 85 128 136 146 160 170 256 272 292 320 340 365 544 584 640 680 730 1088 1168 1241 1280 1360 1460 2176 2336 2482 2720 2920 4352 4672 4964 5440 5840 6205 9344 9928 10880 11680 12410 18688 19856 21760 23360 24820 39712 46720 49640 79424 93440 99280 158848 198560 317696 397120 694649 794240 1389298 1588480 2778596 3473245 5557192 6946490 11114384 11809033 13892980 22228768 23618066 27785960 44457536 47236132 50709377 55571920 59045165 88915072 94472264 101418754 111143840 118090330 177830144 188944528 202837508 222287680 236180660 253546885 377889056 405675016 444575360 472361320 507093770 755778112 811350032 862059409 889150720 944722640 1014187540 1511556224 1622700064 1724118818 1889445280 2028375080 3023112448 3245400128 3448237636 3778890560 4056750160 4310297045 6490800256 6896475272 7557781120 8113500320 8620594090 12981600512 13792950544 15115562240 16227000640 17241188180 27585901088 32454001280 34482376360 55171802176 64908002560 68964752720 110343604352 137929505440 220687208704 275859010880 551718021760 1103436043520