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1102221001000 = 23537199791257
BaseRepresentation
bin10000000010100001011…
…111011100000100101000
310220101000200021022100001
4100002201133130010220
5121024322034013000
62202204153152344
7142430030632060
oct20024137340450
93811020238301
101102221001000
113954a4024a09
1215974b6bb6b4
137cc28c80852
143b4c24503a0
151da1096a46a
hex100a17dc128

1102221001000 has 128 divisors (see below), whose sum is σ = 2962469952000. Its totient is φ = 376004851200.

The previous prime is 1102221000961. The next prime is 1102221001019. The reversal of 1102221001000 is 1001222011.

It is a super-2 number, since 2×11022210010002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 997372 + ... + 1788628.

It is an arithmetic number, because the mean of its divisors is an integer number (23144296500).

Almost surely, 21102221001000 is an apocalyptic number.

1102221001000 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 1102221001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481234976000).

1102221001000 is an abundant number, since it is smaller than the sum of its proper divisors (1860248951000).

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

1102221001000 is a wasteful number, since it uses less digits than its factorization.

1102221001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791484 (or 791470 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1102221001000 its reverse (1001222011), we get a palindrome (1103222223011).

The spelling of 1102221001000 in words is "one trillion, one hundred two billion, two hundred twenty-one million, one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 199 200 250 280 350 398 500 700 796 875 995 1000 1393 1400 1592 1750 1990 2786 3500 3980 4975 5572 6965 7000 7960 9950 11144 13930 19900 24875 27860 34825 39800 49750 55720 69650 99500 139300 174125 199000 278600 348250 696500 791257 1393000 1582514 3165028 3956285 5538799 6330056 7912570 11077598 15825140 19781425 22155196 27693995 31650280 39562850 44310392 55387990 79125700 98907125 110775980 138469975 157460143 158251400 197814250 221551960 276939950 314920286 395628500 553879900 629840572 692349875 787300715 791257000 1102221001 1107759800 1259681144 1384699750 1574601430 2204442002 2769399500 3149202860 3936503575 4408884004 5511105005 5538799000 6298405720 7873007150 8817768008 11022210010 15746014300 19682517875 22044420020 27555525025 31492028600 39365035750 44088840040 55111050050 78730071500 110222100100 137777625125 157460143000 220444200200 275555250250 551110500500 1102221001000