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121011000021219 = 3731171239630029
BaseRepresentation
bin11011100000111100010001…
…101010111001000011100011
3120212110112112122200102202210
4123200330101222321003203
5111330121012001134334
61105211404100013203
734326520250445000
oct3340742152710343
9525415478612683
10121011000021219
1135615527841930
12116a48ab091203
13526a3996296b9
1421c4d6c3908a7
15decb919625e9
hex6e0f11ab90e3

121011000021219 has 128 divisors (see below), whose sum is σ = 209028833280000. Its totient is φ = 61718046902400.

The previous prime is 121011000021203. The next prime is 121011000021239. The reversal of 121011000021219 is 912120000110121.

It is not a de Polignac number, because 121011000021219 - 24 = 121011000021203 is a prime.

It is a super-2 number, since 2×1210110000212192 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 121011000021195 and 121011000021204.

It is not an unprimeable number, because it can be changed into a prime (121011000021239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 191757097 + ... + 192387125.

It is an arithmetic number, because the mean of its divisors is an integer number (1633037760000).

Almost surely, 2121011000021219 is an apocalyptic number.

121011000021219 is a deficient number, since it is larger than the sum of its proper divisors (88017833258781).

121011000021219 is a wasteful number, since it uses less digits than its factorization.

121011000021219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630374 (or 630360 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 121011000021219 in words is "one hundred twenty-one trillion, eleven billion, twenty-one thousand, two hundred nineteen".

Divisors: 1 3 7 11 21 33 49 71 77 147 213 231 239 343 497 539 717 781 1029 1491 1617 1673 2343 2629 3479 3773 5019 5467 7887 10437 11319 11711 16401 16969 18403 24353 35133 38269 50907 55209 73059 81977 114807 118783 128821 186659 245931 267883 356349 386463 559977 630029 803649 831481 901747 1306613 1890087 2494443 2705241 3919839 4410203 5820367 6930319 9146291 13230609 17461101 20790957 27438873 30871421 44732059 48512233 64024037 92614263 134196177 145536699 150576931 192072111 216099947 313124413 339585631 451730793 492052649 648299841 939373239 1018756893 1054038517 1476157947 1656346241 2191870891 2377099417 3162115551 3444368543 4969038723 6575612673 7131298251 7378269619 10333105629 10690962101 11594423687 15343096237 22134808857 24110579801 32072886303 34783271061 46029288711 51647887333 72331739403 74836734707 81160965809 117600583111 154943661999 168774058607 224510204121 243482897427 352801749333 506322175821 523857142949 568126760663 823204081777 1571571428847 1704380281989 2469612245331 3667000000643 5762428572439 11001000001929 17287285717317 40337000007073 121011000021219