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11002220021120 = 275291597371191
BaseRepresentation
bin1010000000011010011101…
…1010101000010110000000
31102221210122122000102202212
42200012213122220112000
52420230021311133440
635222203342201252
72213612161100156
oct240064732502600
942853578012685
1011002220021120
113562019413709
121298379283228
1361a674345613
142a07203453d6
151412d652d465
hexa01a76a8580

11002220021120 has 128 divisors (see below), whose sum is σ = 27226265054400. Its totient is φ = 4246461112320.

The previous prime is 11002220021081. The next prime is 11002220021183. The reversal of 11002220021120 is 2112002220011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11002220021095 and 11002220021104.

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, 29454725 + ... + 29825915.

Almost surely, 211002220021120 is an apocalyptic number.

11002220021120 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 11002220021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13613132527200).

11002220021120 is an abundant number, since it is smaller than the sum of its proper divisors (16224045033280).

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

11002220021120 is a wasteful number, since it uses less digits than its factorization.

11002220021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372836 (or 372824 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11002220021120 its reverse (2112002220011), we get a palindrome (13114222241131).

The spelling of 11002220021120 in words is "eleven trillion, two billion, two hundred twenty million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1597 1856 2320 3194 3712 4640 6388 7985 9280 12776 15970 18560 25552 31940 46313 51104 63880 92626 102208 127760 185252 204416 231565 255520 370504 371191 463130 511040 741008 742382 926260 1022080 1482016 1484764 1852520 1855955 2964032 2969528 3705040 3711910 5928064 5939056 7410080 7423820 10764539 11878112 14820160 14847640 21529078 23756224 29640320 29695280 43058156 47512448 53822695 59390560 86116312 107645390 118781120 172232624 215290780 237562240 344465248 430581560 592792027 688930496 861163120 1185584054 1377860992 1722326240 2371168108 2963960135 3444652480 4742336216 5927920270 6889304960 9484672432 11855840540 17190968783 18969344864 23711681080 34381937566 37938689728 47423362160 68763875132 75877379456 85954843915 94846724320 137527750264 171909687830 189693448640 275055500528 343819375660 379386897280 550111001056 687638751320 1100222002112 1375277502640 2200444004224 2750555005280 5501110010560 11002220021120