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1120101000102 = 233753495711279
BaseRepresentation
bin10000010011001011001…
…110001110001110100110
310222002011202122101002000
4100103023032032032212
5121322431324000402
62214322311430130
7143632101260250
oct20231316161646
93862152571060
101120101000102
113a20398a4977
121610bb685346
1381818386986
143c2dad60cd0
151e20a51cc1c
hex104cb38e3a6

1120101000102 has 128 divisors (see below), whose sum is σ = 2899216281600. Its totient is φ = 313899401088.

The previous prime is 1120101000059. The next prime is 1120101000107. The reversal of 1120101000102 is 2010001010211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120101000107) 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 63 ways as a sum of consecutive naturals, for example, 99302899 + ... + 99314177.

It is an arithmetic number, because the mean of its divisors is an integer number (22650127200).

Almost surely, 21120101000102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120101000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449608140800).

1120101000102 is an abundant number, since it is smaller than the sum of its proper divisors (1779115281498).

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

1120101000102 is a wasteful number, since it uses less digits than its factorization.

1120101000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16307 (or 16301 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1120101000102 its reverse (2010001010211), we get a palindrome (3130102010313).

The spelling of 1120101000102 in words is "one trillion, one hundred twenty billion, one hundred one million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 159 189 318 371 378 477 742 954 1113 1431 2226 2862 3339 4957 6678 9914 10017 11279 14871 20034 22558 29742 33837 34699 44613 67674 69398 78953 89226 101511 104097 133839 157906 203022 208194 236859 262721 267678 304533 312291 473718 525442 597787 609066 624582 710577 788163 936873 1195574 1421154 1576326 1793361 1839047 1873746 2131731 2364489 3586722 3678094 4184509 4263462 4728978 5380083 5517141 7093467 8369018 10760166 11034282 12553527 14186934 16140249 16551423 25107054 32280498 33102846 37660581 49654269 55910003 75321162 99308538 111820006 112981743 167730009 225963486 335460018 391370021 503190027 782740042 1006380054 1174110063 1509570081 2348220126 2963230159 3019140162 3522330189 5926460318 7044660378 8889690477 10566990567 17779380954 20742611113 21133981134 26669071431 41485222226 53338142862 62227833339 80007214293 124455666678 160014428586 186683500017 373367000034 560050500051 1120101000102