Search a number
-
+
1122217122234 = 23132931310491511
BaseRepresentation
bin10000010101001001010…
…110100101100110111010
310222021122020111111220210
4100111021112211212322
5121341300040402414
62215312303331550
7144035405102445
oct20251126454672
93867566444823
101122217122234
113a2a2534483a
121615b02b0bb6
1381a948cab50
143c45c00665c
151e2d11bbe59
hex105495a59ba

1122217122234 has 128 divisors (see below), whose sum is σ = 2512472256000. Its totient is φ = 331789086720.

The previous prime is 1122217122233. The next prime is 1122217122287. The reversal of 1122217122234 is 4322217122211.

It is not an unprimeable number, because it can be changed into a prime (1122217122233) 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, 742697539 + ... + 742699049.

It is an arithmetic number, because the mean of its divisors is an integer number (19628689500).

Almost surely, 21122217122234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122217122234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256236128000).

1122217122234 is an abundant number, since it is smaller than the sum of its proper divisors (1390255133766).

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

1122217122234 is a wasteful number, since it uses less digits than its factorization.

1122217122234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920.

The product of its digits is 5376, while the sum is 30.

The spelling of 1122217122234 in words is "one trillion, one hundred twenty-two billion, two hundred seventeen million, one hundred twenty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 313 377 626 754 939 1049 1131 1511 1878 2098 2262 3022 3147 4069 4533 6294 8138 9066 9077 12207 13637 18154 19643 24414 27231 27274 30421 39286 40911 43819 54462 58929 60842 81822 87638 91263 117858 118001 131457 182526 236002 262914 328337 354003 395473 472943 569647 656674 708006 790946 945886 985011 1139294 1186419 1418829 1585039 1708941 1970022 2372838 2837658 3170078 3417882 4268381 4755117 6148259 8536762 9510234 9521773 12296518 12805143 13715347 18444777 19043546 20605507 25610286 27430694 28565319 36889554 41146041 41211014 45966131 57130638 61816521 82292082 91932262 123633042 123783049 137898393 178299511 247566098 275796786 356599022 371349147 496117207 534898533 597559703 742698294 992234414 1069797066 1195119406 1488351621 1792679109 2976703242 3585358218 6449523691 12899047382 14387399003 19348571073 28774798006 38697142146 43162197009 86324394018 187036187039 374072374078 561108561117 1122217122234