Search a number
-
+
1031121101120 = 265112231313597
BaseRepresentation
bin11110000000100111001…
…10110110000101000000
310122120111121021011110212
433000103212312011000
5113343214000213440
62105405051413252
7134332066514165
oct17002346660500
93576447234425
101031121101120
11368328a86880
12147a08454228
13763079bbc86
1437c9972406c
151bc4d9e3465
hexf0139b6140

1031121101120 has 112 divisors (see below), whose sum is σ = 2690584985088. Its totient is φ = 373271439360.

The previous prime is 1031121101099. The next prime is 1031121101137. The reversal of 1031121101120 is 211011211301.

It is a junction number, because it is equal to n+sod(n) for n = 1031121101095 and 1031121101104.

It is a congruent number.

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, 128162 + ... + 1441758.

It is an arithmetic number, because the mean of its divisors is an integer number (24023080224).

Almost surely, 21031121101120 is an apocalyptic number.

1031121101120 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 1031121101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345292492544).

1031121101120 is an abundant number, since it is smaller than the sum of its proper divisors (1659463883968).

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

1031121101120 is a wasteful number, since it uses less digits than its factorization.

1031121101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313848 (or 1313838 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1031121101120 its reverse (211011211301), we get a palindrome (1242132312421).

The spelling of 1031121101120 in words is "one trillion, thirty-one billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 223 320 352 440 446 704 880 892 1115 1760 1784 2230 2453 3520 3568 4460 4906 7136 8920 9812 12265 14272 17840 19624 24530 35680 39248 49060 71360 78496 98120 156992 196240 392480 784960 1313597 2627194 5254388 6567985 10508776 13135970 14449567 21017552 26271940 28899134 42035104 52543880 57798268 72247835 84070208 105087760 115596536 144495670 210175520 231193072 288991340 292932131 420351040 462386144 577982680 585864262 924772288 1155965360 1171728524 1464660655 2311930720 2343457048 2929321310 3222253441 4623861440 4686914096 5858642620 6444506882 9373828192 11717285240 12889013764 16111267205 18747656384 23434570480 25778027528 32222534410 46869140960 51556055056 64445068820 93738281920 103112110112 128890137640 206224220224 257780275280 515560550560 1031121101120