Search a number
-
+
1031244223232 = 28175914392791
BaseRepresentation
bin11110000000110101111…
…00100001001100000000
310122120211011221102021002
433000122330201030000
5113343442010120412
62105425210351132
7134335123160606
oct17003274411400
93576734842232
101031244223232
11368391530293
12147a4172b4a8
1376327369cb2
1437cabc13876
151bc59713dc2
hexf01af21300

1031244223232 has 144 divisors (see below), whose sum is σ = 2218822502400. Its totient is φ = 476563783680.

The previous prime is 1031244223213. The next prime is 1031244223259. The reversal of 1031244223232 is 2323224421301.

It is a junction number, because it is equal to n+sod(n) for n = 1031244223195 and 1031244223204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369487757 + ... + 369490547.

It is an arithmetic number, because the mean of its divisors is an integer number (15408489600).

Almost surely, 21031244223232 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 1031244223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109411251200).

1031244223232 is an abundant number, since it is smaller than the sum of its proper divisors (1187578279168).

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

1031244223232 is a wasteful number, since it uses less digits than its factorization.

1031244223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 1031244223232 its reverse (2323224421301), we get a palindrome (3354468644533).

The spelling of 1031244223232 in words is "one trillion, thirty-one billion, two hundred forty-four million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 59 64 68 118 128 136 236 256 272 472 544 944 1003 1088 1439 1888 2006 2176 2791 2878 3776 4012 4352 5582 5756 7552 8024 11164 11512 15104 16048 22328 23024 24463 32096 44656 46048 47447 48926 64192 84901 89312 92096 94894 97852 128384 164669 169802 178624 184192 189788 195704 256768 329338 339604 357248 368384 379576 391408 658676 679208 714496 759152 782816 1317352 1358416 1443317 1518304 1565632 2634704 2716832 2799373 2886634 3036608 3131264 4016249 5269408 5433664 5598746 5773268 6073216 6262528 8032498 10538816 10867328 11197492 11546536 12146432 16064996 21077632 21734656 22394984 23093072 32129992 42155264 44789968 46186144 64259984 68276233 89579936 92372288 128519968 136552466 179159872 184744576 236958691 257039936 273104932 358319744 369489152 473917382 514079872 546209864 716639488 947834764 1028159744 1092419728 1895669528 2184839456 3791339056 4028297747 4369678912 7582678112 8056595494 8739357824 15165356224 16113190988 17478715648 30330712448 32226381976 60661424896 64452763952 128905527904 257811055808 515622111616 1031244223232