Search a number
-
+
1102022202012 = 2231073834614861
BaseRepresentation
bin10000000010010101101…
…001000101001010011100
310220100111211012021101120
4100002111221011022130
5121023420140431022
62202132332210540
7142422065106144
oct20022551051234
93810454167346
101102022202012
11395401892326
121596b5009a50
137cbc6a27104
143b4a3ca1924
151d9ed29bd5c
hex10095a4529c

1102022202012 has 96 divisors (see below), whose sum is σ = 2608374472704. Its totient is φ = 362095660800.

The previous prime is 1102022202007. The next prime is 1102022202019. The reversal of 1102022202012 is 2102022202011.

It is a junction number, because it is equal to n+sod(n) for n = 1102022201982 and 1102022202000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102022202019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226704462 + ... + 226709322.

It is an arithmetic number, because the mean of its divisors is an integer number (27170567424).

Almost surely, 21102022202012 is an apocalyptic number.

1102022202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1102022202012 is an abundant number, since it is smaller than the sum of its proper divisors (1506352270692).

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

1102022202012 is a wasteful number, since it uses less digits than its factorization.

1102022202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1102022202012 its reverse (2102022202011), we get a palindrome (3204044404023).

Subtracting 1102022202012 from its reverse (2102022202011), we obtain a palindrome (999999999999).

The spelling of 1102022202012 in words is "one trillion, one hundred two billion, twenty-two million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 107 214 321 383 428 461 642 766 922 1149 1284 1383 1532 1844 2298 2766 4596 4861 5532 9722 14583 19444 29166 40981 49327 58332 81962 98654 122943 147981 163924 176563 197308 245886 295962 353126 491772 520127 529689 591924 706252 1040254 1059378 1560381 1861763 2080508 2118756 2240921 3120762 3723526 4481842 5585289 6241524 6722763 7447052 8963684 11170578 13445526 18892241 22341156 26891052 37784482 56676723 75568964 113353446 199208641 226706892 239778547 398417282 479557094 597625923 719335641 796834564 858272743 959114188 1195251846 1438671282 1716545486 2390503692 2574818229 2877342564 3433090972 5149636458 10299272916 91835183501 183670367002 275505550503 367340734004 551011101006 1102022202012