Search a number
-
+
1022302133300 = 2252729101498611
BaseRepresentation
bin11101110000001011111…
…01001001110000110100
310121201201222211011221002
432320011331021300310
5113222133321231200
62101350014342432
7133600412520560
oct16700575116064
93551658734832
101022302133300
113646129a2818
12146166abaa18
13755308b4616
14376a03946a0
151b8d4675bd5
hexee05f49c34

1022302133300 has 144 divisors (see below), whose sum is σ = 2648706721920. Its totient is φ = 335065920000.

The previous prime is 1022302133291. The next prime is 1022302133317. The reversal of 1022302133300 is 33312032201.

1022302133300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1800995 + ... + 2299605.

It is an arithmetic number, because the mean of its divisors is an integer number (18393796680).

Almost surely, 21022302133300 is an apocalyptic number.

1022302133300 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 1022302133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324353360960).

1022302133300 is an abundant number, since it is smaller than the sum of its proper divisors (1626404588620).

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

1022302133300 is a wasteful number, since it uses less digits than its factorization.

1022302133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498762 (or 498755 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1022302133300 its reverse (33312032201), we get a palindrome (1055614165501).

The spelling of 1022302133300 in words is "one trillion, twenty-two billion, three hundred two million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 101 116 140 145 175 202 203 290 350 404 406 505 580 700 707 725 812 1010 1015 1414 1450 2020 2030 2525 2828 2900 2929 3535 4060 5050 5075 5858 7070 10100 10150 11716 14140 14645 17675 20300 20503 29290 35350 41006 58580 70700 73225 82012 102515 146450 205030 292900 410060 498611 512575 997222 1025150 1994444 2050300 2493055 3490277 4986110 6980554 9972220 12465275 13961108 14459719 17451385 24930550 28919438 34902770 49861100 50359711 57838876 69805540 72298595 87256925 100719422 101218033 144597190 174513850 201438844 202436066 251798555 289194380 349027700 352517977 361492975 404872132 503597110 506090165 705035954 722985950 1007194220 1012180330 1258992775 1410071908 1445971900 1460431619 1762589885 2024360660 2517985550 2530450825 2920863238 3525179770 5035971100 5060901650 5841726476 7050359540 7302158095 8812949425 10121803300 10223021333 14604316190 17625898850 20446042666 29208632380 35251797700 36510790475 40892085332 51115106665 73021580950 102230213330 146043161900 204460426660 255575533325 511151066650 1022302133300