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1101031301112 = 233194756519091
BaseRepresentation
bin10000000001011010100…
…101000101111111111000
310220020221202122021220020
4100001122211011333320
5121014403003113422
62201450133530440
7142355403433221
oct20013245057770
93806852567806
101101031301112
11394a43513866
121594791a3a20
137ca99654712
143b40c442248
151d9912b695c
hex1005a945ff8

1101031301112 has 128 divisors (see below), whose sum is σ = 2959947878400. Its totient is φ = 340198704000.

The previous prime is 1101031301089. The next prime is 1101031301147. The reversal of 1101031301112 is 2111031301011.

It is a super-2 number, since 2×11010313011122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101031301091 and 1101031301100.

It is a congruent number.

It is an unprimeable number.

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, 121107687 + ... + 121116777.

It is an arithmetic number, because the mean of its divisors is an integer number (23124592800).

Almost surely, 21101031301112 is an apocalyptic number.

1101031301112 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 1101031301112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479973939200).

1101031301112 is an abundant number, since it is smaller than the sum of its proper divisors (1858916577288).

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

1101031301112 is a wasteful number, since it uses less digits than its factorization.

1101031301112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14817 (or 14813 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1101031301112 its reverse (2111031301011), we get a palindrome (3212062602123).

The spelling of 1101031301112 in words is "one trillion, one hundred one billion, thirty-one million, three hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 47 57 76 94 114 141 152 188 228 282 376 456 564 893 1128 1786 2679 3572 5358 5651 7144 9091 10716 11302 16953 18182 21432 22604 27273 33906 36364 45208 54546 67812 72728 107369 109092 135624 172729 214738 218184 265597 322107 345458 427277 429476 518187 531194 644214 690916 796791 854554 858952 1036374 1062388 1281831 1288428 1381832 1593582 1709108 2072748 2124776 2563662 2576856 3187164 3418216 4145496 5046343 5127324 6374328 8118263 10092686 10254648 15139029 16236526 20185372 24354789 30278058 32473052 40370744 48709578 51373241 60556116 64946104 97419156 102746482 121112232 154119723 194838312 205492964 308239446 410985928 616478892 976091579 1232957784 1952183158 2414542327 2928274737 3904366316 4829084654 5856549474 7243626981 7808732632 9658169308 11713098948 14487253962 19316338616 23426197896 28974507924 45876304213 57949015848 91752608426 137628912639 183505216852 275257825278 367010433704 550515650556 1101031301112