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1122110220220 = 22511113179252163
BaseRepresentation
bin10000010101000010111…
…110110010011110111100
310222021100210100022220221
4100111002332302132330
5121341040204021340
62215253524151124
7144032636332663
oct20250276623674
93867323308827
101122110220220
113a297aa69770
121615805384a4
1381a7870b912
143c44bb39dda
151e2c6b0244a
hex10542fb27bc

1122110220220 has 96 divisors (see below), whose sum is σ = 2607900261120. Its totient is φ = 402168130560.

The previous prime is 1122110220137. The next prime is 1122110220271. The reversal of 1122110220220 is 220220112211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1122110220194 and 1122110220203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4323859 + ... + 4576021.

It is an arithmetic number, because the mean of its divisors is an integer number (27165627720).

Almost surely, 21122110220220 is an apocalyptic number.

1122110220220 is a gapful number since it is divisible by the number (10) 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 1122110220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303950130560).

1122110220220 is an abundant number, since it is smaller than the sum of its proper divisors (1485790040900).

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

1122110220220 is a wasteful number, since it uses less digits than its factorization.

1122110220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252475 (or 252473 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1122110220220 its reverse (220220112211), we get a palindrome (1342330332431).

The spelling of 1122110220220 in words is "one trillion, one hundred twenty-two billion, one hundred ten million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 179 220 226 358 452 565 716 895 1130 1243 1790 1969 2260 2486 3580 3938 4972 6215 7876 9845 12430 19690 20227 24860 39380 40454 80908 101135 202270 222497 252163 404540 444994 504326 889988 1008652 1112485 1260815 2224970 2521630 2773793 4449940 5043260 5547586 11095172 13868965 27737930 28494419 45137177 55475860 56988838 90274354 113977676 142472095 180548708 225685885 284944190 313438609 451371770 496508947 569888380 626877218 902743540 993017894 1253754436 1567193045 1986035788 2482544735 3134386090 4965089470 5100501001 6268772180 9930178940 10201002002 20402004004 25502505005 51005010010 56105511011 102010020020 112211022022 224422044044 280527555055 561055110110 1122110220220