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1103130123312 = 243719746136151
BaseRepresentation
bin10000000011010111101…
…011011101110000110000
310220110101000221111200210
4100003113223131300300
5121033202302421222
62202434310544120
7142461410223330
oct20032753356060
93813330844623
101103130123312
11395920217a68
12159964068040
138004241c449
143b56b0a30c0
151da65699d0c
hex100d7addc30

1103130123312 has 160 divisors (see below), whose sum is σ = 3280584029184. Its totient is φ = 312891264000.

The previous prime is 1103130123299. The next prime is 1103130123317. The reversal of 1103130123312 is 2133210313011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1103130123317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30496437 + ... + 30532587.

Almost surely, 21103130123312 is an apocalyptic number.

1103130123312 is a gapful number since it is divisible by the number (12) 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 1103130123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640292014592).

1103130123312 is an abundant number, since it is smaller than the sum of its proper divisors (2177453905872).

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

1103130123312 is a wasteful number, since it uses less digits than its factorization.

1103130123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36827 (or 36821 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1103130123312 its reverse (2133210313011), we get a palindrome (3236340436323).

The spelling of 1103130123312 in words is "one trillion, one hundred three billion, one hundred thirty million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 197 336 394 461 591 788 922 1182 1379 1383 1576 1844 2364 2758 2766 3152 3227 3688 4137 4728 5516 5532 6454 7376 8274 9456 9681 11032 11064 12908 16548 19362 22064 22128 25816 33096 36151 38724 51632 66192 72302 77448 90817 108453 144604 154896 181634 216906 253057 272451 289208 363268 433812 506114 544902 578416 635719 726536 759171 867624 1012228 1089804 1271438 1453072 1518342 1735248 1907157 2024456 2179608 2542876 3036684 3814314 4048912 4359216 5085752 6073368 7121747 7628628 10171504 12146736 14243494 15257256 16665611 21365241 28486988 30514512 33331222 42730482 49852229 49996833 56973976 66662444 85460964 99704458 99993666 113947952 116659277 133324888 149556687 170921928 199408916 199987332 233318554 266649776 299113374 341843856 349977831 398817832 399974664 466637108 598226748 699955662 797635664 799949328 933274216 1196453496 1399911324 1866548432 2392906992 2799822648 3283125367 5599645296 6566250734 9849376101 13132501468 19698752202 22981877569 26265002936 39397504404 45963755138 52530005872 68945632707 78795008808 91927510276 137891265414 157590017616 183855020552 275782530828 367710041104 551565061656 1103130123312