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1101020211018 = 2337131733129289
BaseRepresentation
bin10000000001011001111…
…010110010011101001010
310220020220222202212011000
4100001121322302131022
5121014342133223033
62201445100115430
7142355210243460
oct20013172623512
93806828685130
101101020211018
11394a382296a2
12159475535b76
137ca97270930
143b40ab96830
151d990325a13
hex10059eb274a

1101020211018 has 128 divisors (see below), whose sum is σ = 3013098278400. Its totient is φ = 290209153536.

The previous prime is 1101020210999. The next prime is 1101020211019. The reversal of 1101020211018 is 8101120201011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1101020211019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8451318 + ... + 8580606.

It is an arithmetic number, because the mean of its divisors is an integer number (23539830300).

Almost surely, 21101020211018 is an apocalyptic number.

1101020211018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101020211018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506549139200).

1101020211018 is an abundant number, since it is smaller than the sum of its proper divisors (1912078067382).

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

1101020211018 is a wasteful number, since it uses less digits than its factorization.

1101020211018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131053 (or 131047 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 1101020211018 its reverse (8101120201011), we get a palindrome (9202140412029).

The spelling of 1101020211018 in words is "one trillion, one hundred one billion, twenty million, two hundred eleven thousand, eighteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 1733 2457 3466 4914 5199 10398 12131 15597 22529 24262 31194 36393 45058 46791 67587 72786 93582 109179 129289 135174 157703 202761 218358 258578 315406 327537 387867 405522 473109 608283 655074 775734 905023 946218 1163601 1216566 1419327 1680757 1810046 2327202 2715069 2838654 3361514 3490803 4257981 5042271 5430138 6981606 8145207 8515962 10084542 11765299 15126813 16290414 23530598 24435621 30253626 35295897 45380439 48871242 70591794 90760878 105887691 211775382 224057837 317663073 448115674 635326146 672173511 1344347022 1568404859 2016520533 2912751881 3136809718 4033041066 4705214577 5825503762 6049561599 8738255643 9410429154 12099123198 14115643731 17476511286 20389263167 26214766929 28231287462 40778526334 42346931193 52429533858 61167789501 78644300787 84693862386 122335579002 157288601574 183503368503 367006737006 550510105509 1101020211018