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1120100011002 = 2327219127526297
BaseRepresentation
bin10000010011001011001…
…010011100101111111010
310222002011200210010021200
4100103023022130233322
5121322431100323002
62214322234315030
7143632060000500
oct20231312345772
93862150703250
101120100011002
113a2039289835
121610bb288a76
13818180cb6cb
143c2dab84670
151e20a3c4b1c
hex104cb29cbfa

1120100011002 has 144 divisors (see below), whose sum is σ = 2995098762240. Its totient is φ = 300797110656.

The previous prime is 1120100011001. The next prime is 1120100011007. The reversal of 1120100011002 is 2001100010211.

It is a happy number.

It is a super-3 number, since 3×11201000110023 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1120100011001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1865118 + ... + 2391414.

It is an arithmetic number, because the mean of its divisors is an integer number (20799296960).

Almost surely, 21120100011002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120100011002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497549381120).

1120100011002 is an abundant number, since it is smaller than the sum of its proper divisors (1874998751238).

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

1120100011002 is a wasteful number, since it uses less digits than its factorization.

1120100011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526465 (or 526455 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1120100011002 its reverse (2001100010211), we get a palindrome (3121200021213).

The spelling of 1120100011002 in words is "one trillion, one hundred twenty billion, one hundred million, eleven thousand, two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 127 133 147 171 254 266 294 342 381 399 441 762 798 882 889 931 1143 1197 1778 1862 2286 2394 2413 2667 2793 4826 5334 5586 6223 7239 8001 8379 12446 14478 16002 16758 16891 18669 21717 33782 37338 43434 50673 56007 101346 112014 118237 152019 236474 304038 354711 526297 709422 1052594 1064133 1578891 2128266 3157782 3684079 4736673 7368158 9473346 9999643 11052237 19999286 22104474 25788553 29998929 33156711 51577106 59997858 66313422 66839719 69997501 77365659 89996787 133679438 139995002 154731318 179993574 200519157 209992503 232096977 401038314 419985006 464193954 467878033 489982507 601557471 629977509 935756066 979965014 1203114942 1259955018 1269954661 1403634099 1469947521 2539909322 2807268198 2939895042 3275146231 3809863983 4210902297 4409842563 6550292462 7619727966 8421804594 8819685126 8889682627 9825438693 11429591949 17779365254 19650877386 22859183898 26669047881 29476316079 53338095762 58952632158 62227778389 80007143643 124455556778 160014287286 186683335167 373366670334 560050005501 1120100011002