Search a number
-
+
1121112022000 = 24531761353791
BaseRepresentation
bin10000010100000111011…
…110111101101111110000
310222011210020001121101111
4100110013132331233300
5121332014134201000
62215010505243104
7143666125645045
oct20240736755760
93864706047344
101121112022000
113a2508566663
12161342193494
1381949982899
143c39533b1cc
151e269179cba
hex105077bdbf0

1121112022000 has 160 divisors (see below), whose sum is σ = 2875046413824. Its totient is φ = 421369344000.

The previous prime is 1121112021971. The next prime is 1121112022039. The reversal of 1121112022000 is 2202111211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20815105 + ... + 20868895.

Almost surely, 21121112022000 is an apocalyptic number.

1121112022000 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 1121112022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437523206912).

1121112022000 is an abundant number, since it is smaller than the sum of its proper divisors (1753934391824).

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

1121112022000 is a wasteful number, since it uses less digits than its factorization.

1121112022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54444 (or 54428 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1121112022000 its reverse (2202111211), we get a palindrome (1123314133211).

The spelling of 1121112022000 in words is "one trillion, one hundred twenty-one billion, one hundred twelve million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 613 680 850 1000 1226 1360 1700 2000 2125 2452 3065 3400 4250 4904 6130 6800 8500 9808 10421 12260 15325 17000 20842 24520 30650 34000 41684 49040 52105 53791 61300 76625 83368 104210 107582 122600 153250 166736 208420 215164 245200 260525 268955 306500 416840 430328 521050 537910 613000 833680 860656 914447 1042100 1075820 1226000 1302625 1344775 1828894 2084200 2151640 2605250 2689550 3657788 4168400 4303280 4572235 5210500 5379100 6723875 7315576 9144470 10421000 10758200 13447750 14631152 18288940 20842000 21516400 22861175 26895500 32973883 36577880 45722350 53791000 65947766 73155760 91444700 107582000 114305875 131895532 164869415 182889400 228611750 263791064 329738830 365778800 457223500 527582128 560556011 659477660 824347075 914447000 1121112022 1318955320 1648694150 1828894000 2242224044 2637910640 2802780055 3297388300 4121735375 4484448088 5605560110 6594776600 8243470750 8968896176 11211120220 13189553200 14013900275 16486941500 22422240440 28027800550 32973883000 44844480880 56055601100 65947766000 70069501375 112111202200 140139002750 224222404400 280278005500 560556011000 1121112022000