Search a number
-
+
1022231320040 = 2357171911124369
BaseRepresentation
bin11101110000000011011…
…11000001010111101000
310121201120001120111101202
432320001233001113220
5113222012204220130
62101335004503332
7133565562566120
oct16700157012750
93551501514352
101022231320040
11364586a26767
1214614724ab48
137551c01c898
1437694bddc80
151b8cd339145
hexee01bc15e8

1022231320040 has 128 divisors (see below), whose sum is σ = 2797792358400. Its totient is φ = 328135557120.

The previous prime is 1022231320013. The next prime is 1022231320109. The reversal of 1022231320040 is 400231322201.

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

It is a junction number, because it is equal to n+sod(n) for n = 1022231319994 and 1022231320021.

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, 346976 + ... + 1471344.

It is an arithmetic number, because the mean of its divisors is an integer number (21857752800).

Almost surely, 21022231320040 is an apocalyptic number.

1022231320040 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 1022231320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398896179200).

1022231320040 is an abundant number, since it is smaller than the sum of its proper divisors (1775561038360).

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

1022231320040 is a wasteful number, since it uses less digits than its factorization.

1022231320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124595 (or 1124591 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1022231320040 its reverse (400231322201), we get a palindrome (1422462642241).

The spelling of 1022231320040 in words is "one trillion, twenty-two billion, two hundred thirty-one million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 191 238 280 340 382 476 595 680 764 952 955 1190 1337 1528 1910 2380 2674 3247 3820 4760 5348 6494 6685 7640 10696 12988 13370 16235 22729 25976 26740 32470 45458 53480 64940 90916 113645 129880 181832 227290 454580 909160 1124369 2248738 4497476 5621845 7870583 8994952 11243690 15741166 19114273 22487380 31482332 38228546 39352915 44974760 62964664 76457092 78705830 95571365 133799911 152914184 157411660 191142730 214754479 267599822 314823320 382285460 429508958 535199644 668999555 764570920 859017916 1070399288 1073772395 1337999110 1503281353 1718035832 2147544790 2675998220 3006562706 3650826143 4295089580 5351996440 6013125412 7301652286 7516406765 8590179160 12026250824 14603304572 15032813530 18254130715 25555783001 29206609144 30065627060 36508261430 51111566002 60131254120 73016522860 102223132004 127778915005 146033045720 204446264008 255557830010 511115660020 1022231320040