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1085472994221 = 3271129131412303
BaseRepresentation
bin11111100101110110011…
…10110111001110101101
310211202210110221102010200
433302323032313032231
5120241022041303341
62150354233224113
7141265014134010
oct17627316671655
93752713842120
101085472994221
1138938a2305a0
12156456862039
137b48a24a175
143a774009377
151d38046cdb6
hexfcbb3b73ad

1085472994221 has 96 divisors (see below), whose sum is σ = 2037639352320. Its totient is φ = 540280540800.

The previous prime is 1085472994211. The next prime is 1085472994231. The reversal of 1085472994221 is 1224992745801.

1085472994221 is a `hidden beast` number, since 1 + 0 + 8 + 547 + 2 + 9 + 94 + 2 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1085472994211) and next prime (1085472994231).

It is not a de Polignac number, because 1085472994221 - 27 = 1085472994093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085472994211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2426556 + ... + 2838858.

It is an arithmetic number, because the mean of its divisors is an integer number (21225409920).

Almost surely, 21085472994221 is an apocalyptic number.

1085472994221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1085472994221 is a deficient number, since it is larger than the sum of its proper divisors (952166358099).

1085472994221 is a wasteful number, since it uses less digits than its factorization.

1085472994221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412487 (or 412484 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1085472994221 in words is "one trillion, eighty-five billion, four hundred seventy-two million, nine hundred ninety-four thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 29 33 63 77 87 99 131 203 231 261 319 393 609 693 917 957 1179 1441 1827 2233 2751 2871 3799 4323 6699 8253 10087 11397 12969 20097 26593 30261 34191 41789 79779 90783 125367 239337 292523 376101 412303 877569 1236909 2632707 2886121 3710727 4535333 8658363 11956787 13605999 25975089 31747331 35870361 40817997 54011693 83697509 95241993 107611083 131524657 162035079 251092527 285725979 378081851 394573971 486105237 594128623 753277581 920672599 1134245553 1183721913 1566339097 1782385869 2762017797 3402736659 4158900361 4699017291 5347157607 8286053391 10964373679 12476701083 14097051873 17229730067 32893121037 37430103249 51689190201 98679363111 120608110469 155067570603 361824331407 1085472994221