Search a number
-
+
1102110221000 = 235317563115151
BaseRepresentation
bin10000000010011010111…
…000110110001011001000
310220100201221211002202002
4100002122320312023020
5121024110204033000
62202145154530132
7142424214211235
oct20023270661310
93810657732662
101102110221000
11395447540298
1215971a596948
137cc0c034459
143b4b185478c
151da05d868d5
hex1009ae362c8

1102110221000 has 128 divisors (see below), whose sum is σ = 2735514063360. Its totient is φ = 414171520000.

The previous prime is 1102110220993. The next prime is 1102110221027. The reversal of 1102110221000 is 1220112011.

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, 9513425 + ... + 9628575.

It is an arithmetic number, because the mean of its divisors is an integer number (21371203620).

Almost surely, 21102110221000 is an apocalyptic number.

1102110221000 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 1102110221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367757031680).

1102110221000 is an abundant number, since it is smaller than the sum of its proper divisors (1633403842360).

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

1102110221000 is a wasteful number, since it uses less digits than its factorization.

1102110221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115752 (or 115738 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1102110221000 its reverse (1220112011), we get a palindrome (1103330333011).

The spelling of 1102110221000 in words is "one trillion, one hundred two billion, one hundred ten million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 563 680 850 1000 1126 1700 2125 2252 2815 3400 4250 4504 5630 8500 9571 11260 14075 17000 19142 22520 28150 38284 47855 56300 70375 76568 95710 112600 115151 140750 191420 230302 239275 281500 382840 460604 478550 563000 575755 921208 957100 1151510 1196375 1914200 1957567 2303020 2392750 2878775 3915134 4606040 4785500 5757550 7830268 9571000 9787835 11515100 14393875 15660536 19575670 23030200 28787750 39151340 48939175 57575500 64830013 78302680 97878350 115151000 129660026 195756700 244695875 259320052 324150065 391513400 489391750 518640104 648300130 978783500 1102110221 1296600260 1620750325 1957567000 2204220442 2593200520 3241500650 4408440884 5510551105 6483001300 8103751625 8816881768 11021102210 12966002600 16207503250 22042204420 27552755525 32415006500 44084408840 55105511050 64830013000 110211022100 137763777625 220422044200 275527555250 551055110500 1102110221000