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111000100010202 = 2321310938531129489
BaseRepresentation
bin11001001111010000111001…
…100001111111100011011010
3112120000111122211011020210200
4121033100321201333203122
5104022111201100311302
61032024424133523030
732244330645402534
oct3117207141774332
9476014584136720
10111000100010202
1132405972764247
1210548690aa3476
1349c23591b5320
141d5a60d77c854
15cc7579b3181c
hex64f43987f8da

111000100010202 has 96 divisors (see below), whose sum is σ = 261444450867600. Its totient is φ = 33831725746176.

The previous prime is 111000100010201. The next prime is 111000100010209. The reversal of 111000100010202 is 202010001000111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 52498849780881 + 58501250229321 = 7245609^2 + 7648611^2 .

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

It is not an unprimeable number, because it can be changed into a prime (111000100010201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97709874 + ... + 98839362.

Almost surely, 2111000100010202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111000100010202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130722225433800).

111000100010202 is an abundant number, since it is smaller than the sum of its proper divisors (150444350857398).

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

111000100010202 is a wasteful number, since it uses less digits than its factorization.

111000100010202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133472 (or 1133469 counting only the distinct ones).

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

Adding to 111000100010202 its reverse (202010001000111), we get a palindrome (313010101010313).

The spelling of 111000100010202 in words is "one hundred eleven trillion, one hundred million, ten thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 109 117 218 234 327 654 981 1417 1962 2834 3853 4251 7706 8502 11559 12753 23118 25506 34677 50089 69354 100178 150267 300534 419977 450801 839954 901602 1129489 1259931 2258978 2519862 3388467 3779793 5459701 6776934 7559586 10165401 10919402 14683357 16379103 20330802 29366714 32758206 44050071 49137309 88100142 98274618 123114301 132150213 246228602 264300426 369342903 738685806 1108028709 1600485913 2216057418 3200971826 4351921117 4801457739 8703842234 9602915478 13055763351 14404373217 26111526702 28808746434 39167290053 56574974521 78334580106 113149949042 169724923563 339449847126 474359401753 509174770689 948718803506 1018349541378 1423078205259 2846156410518 4269234615777 6166672222789 8538469231554 12333344445578 18500016668367 37000033336734 55500050005101 111000100010202