Search a number
-
+
1223011031120 = 245172316716703
BaseRepresentation
bin10001110011000001001…
…000110101100001010000
311022220210202000121102022
4101303001020311201100
5130014211310443440
62333502110511012
7154234232145224
oct21630110654120
94286722017368
101223011031120
1143174893038a
1217903bb05468
138b438a39b58
14432a0688784
1521c2ee78cb5
hex11cc1235850

1223011031120 has 120 divisors (see below), whose sum is σ = 3021739167744. Its totient is φ = 460254742528.

The previous prime is 1223011031117. The next prime is 1223011031167. The reversal of 1223011031120 is 211301103221.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73212689 + ... + 73229391.

Almost surely, 21223011031120 is an apocalyptic number.

1223011031120 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 1223011031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510869583872).

1223011031120 is an abundant number, since it is smaller than the sum of its proper divisors (1798728136624).

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

1223011031120 is a wasteful number, since it uses less digits than its factorization.

1223011031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19917 (or 19894 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1223011031120 its reverse (211301103221), we get a palindrome (1434312134341).

The spelling of 1223011031120 in words is "one trillion, two hundred twenty-three billion, eleven million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 680 1156 1360 1445 2312 2890 3167 4624 5780 6334 11560 12668 15835 16703 23120 25336 31670 33406 50672 53839 63340 66812 83515 107678 126680 133624 167030 215356 253360 267248 269195 283951 334060 430712 538390 567902 668120 861424 915263 1076780 1135804 1336240 1419755 1830526 2153560 2271608 2839510 3661052 4307120 4543216 4576315 4827167 5679020 7322104 9152630 9654334 11358040 14644208 18305260 19308668 22716080 24135835 36610520 38617336 48271670 52898401 73221040 77234672 96543340 105796802 193086680 211593604 264492005 386173360 423187208 528984010 846374416 899272817 1057968020 1798545634 2115936040 3597091268 4231872080 4496364085 7194182536 8992728170 14388365072 15287637889 17985456340 30575275778 35970912680 61150551556 71941825360 76438189445 122301103112 152876378890 244602206224 305752757780 611505515560 1223011031120