Search a number
-
+
1022233034312 = 2371941169313841
BaseRepresentation
bin11101110000000011101…
…01100011111001001000
310121201120011210120221022
432320001311203321020
5113222013124044222
62101335105332012
7133565613266030
oct16700165437110
93551504716838
101022233034312
11364587997716
12146147937008
137551c49cc49
14376951288c0
151b8cd577042
hexee01d63e48

1022233034312 has 128 divisors (see below), whose sum is σ = 2363593478400. Its totient is φ = 404650598400.

The previous prime is 1022233034299. The next prime is 1022233034327. The reversal of 1022233034312 is 2134303322201.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 73848512 + ... + 73862352.

It is an arithmetic number, because the mean of its divisors is an integer number (18465574050).

Almost surely, 21022233034312 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 1022233034312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181796739200).

1022233034312 is an abundant number, since it is smaller than the sum of its proper divisors (1341360444088).

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

1022233034312 is a wasteful number, since it uses less digits than its factorization.

1022233034312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15607 (or 15603 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 1022233034312 its reverse (2134303322201), we get a palindrome (3156536356513).

The spelling of 1022233034312 in words is "one trillion, twenty-two billion, two hundred thirty-three million, thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 41 56 76 82 133 152 164 266 287 328 532 574 779 1064 1148 1558 1693 2296 3116 3386 5453 6232 6772 10906 11851 13544 13841 21812 23702 27682 32167 43624 47404 55364 64334 69413 94808 96887 110728 128668 138826 193774 225169 257336 262979 277652 387548 450338 485891 525958 555304 567481 775096 900676 971782 1051916 1134962 1318847 1801352 1840853 1943564 2103832 2269924 2637694 3681706 3887128 3972367 4539848 5275388 7363412 7944734 9231929 10550776 10782139 14726824 15889468 18463858 21564278 23432813 31778936 36927716 43128556 46865626 73855432 75474973 86257112 93731252 150949946 164029691 187462504 301899892 328059382 445223447 603799784 656118764 890446894 960745333 1312237528 1780893788 1921490666 3116564129 3561787576 3842981332 6233128258 6725217331 7685962664 12466256516 13450434662 18254161327 24932513032 26900869324 36508322654 53801738648 73016645308 127779129289 146033290616 255558258578 511116517156 1022233034312