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1101112022032 = 2411832412571217
BaseRepresentation
bin10000000001011111011…
…001000001010000010000
310220021011101112100011221
4100001133121001100100
5121020034134201112
62201502140014424
7142360403521201
oct20013731012020
93807141470157
101101112022032
11394a85037670
121594a0231414
137cab02a7c89
143b4190555a8
151d99840de07
hex1005f641410

1101112022032 has 160 divisors (see below), whose sum is σ = 2376318155904. Its totient is φ = 490104422400.

The previous prime is 1101112021981. The next prime is 1101112022033. The reversal of 1101112022032 is 2302202111011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1101112021997 and 1101112022015.

It is not an unprimeable number, because it can be changed into a prime (1101112022033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 904775088 + ... + 904776304.

Almost surely, 21101112022032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101112022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188159077952).

1101112022032 is an abundant number, since it is smaller than the sum of its proper divisors (1275206133872).

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

1101112022032 is a wasteful number, since it uses less digits than its factorization.

1101112022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1101112022032 its reverse (2302202111011), we get a palindrome (3403314133043).

The spelling of 1101112022032 in words is "one trillion, one hundred one billion, one hundred twelve million, twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 83 88 166 176 241 257 332 482 514 664 913 964 1028 1217 1328 1826 1928 2056 2434 2651 2827 3652 3856 4112 4868 5302 5654 7304 9736 10604 11308 13387 14608 19472 20003 21208 21331 22616 26774 40006 42416 42662 45232 53548 61937 80012 85324 101011 107096 123874 160024 170648 202022 214192 220033 234641 247748 293297 312769 320048 341296 404044 440066 469282 495496 586594 625538 681307 808088 880132 938564 990992 1111121 1173188 1251076 1362614 1616176 1760264 1877128 2222242 2346376 2502152 2725228 3226267 3440459 3520528 3754256 4444484 4692752 5004304 5140771 5450456 6452534 6880918 8888968 10281542 10900912 12905068 13761836 17777936 20563084 24343651 25810136 25959827 27523672 41126168 48687302 51620272 51919654 55047344 56548481 75377329 82252336 97374604 103839308 113096962 150754658 194749208 207678616 226193924 267780161 285558097 301509316 389498416 415357232 452387848 535560322 571116194 603018632 829150619 904775696 1071120644 1142232388 1206037264 1658301238 2142241288 2284464776 3316602476 4284482576 4568929552 6256318307 6633204952 12512636614 13266409904 25025273228 50050546456 68819501377 100101092912 137639002754 275278005508 550556011016 1101112022032