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1100322101312 = 26721931817969
BaseRepresentation
bin10000000000110000010…
…011101101100001000000
310220012010100011012122222
4100000300103231201000
5121011424424220222
62201251521150212
7142332002354300
oct20006023554100
93805110135588
101100322101312
1139470a160525
121592bb78b368
137c9b5743a75
143b382191600
151d94ddc8542
hex100304ed840

1100322101312 has 84 divisors (see below), whose sum is σ = 2553095257020. Its totient is φ = 469123006464.

The previous prime is 1100322101297. The next prime is 1100322101339. The reversal of 1100322101312 is 2131012230011.

It can be written as a sum of positive squares in 2 ways, for example, as 240429392896 + 859892708416 = 490336^2 + 927304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303737 + ... + 1514232.

It is an arithmetic number, because the mean of its divisors is an integer number (30393991155).

Almost surely, 21100322101312 is an apocalyptic number.

It is an amenable number.

1100322101312 is an abundant number, since it is smaller than the sum of its proper divisors (1452773155708).

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

1100322101312 is a wasteful number, since it uses less digits than its factorization.

1100322101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818188 (or 1818171 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1100322101312 its reverse (2131012230011), we get a palindrome (3231334331323).

The spelling of 1100322101312 in words is "one trillion, one hundred billion, three hundred twenty-two million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 193 196 224 386 392 448 772 784 1351 1544 1568 2702 3088 3136 5404 6176 9457 10808 12352 18914 21616 37828 43232 75656 86464 151312 302624 605248 1817969 3635938 7271876 12725783 14543752 25451566 29087504 50903132 58175008 89080481 101806264 116350016 178160962 203612528 350868017 356321924 407225056 701736034 712643848 814450112 1403472068 1425287696 2456076119 2806944136 2850575392 4912152238 5613888272 5701150784 9824304476 11227776544 17192532833 19648608952 22455553088 34385065666 39297217904 68770131332 78594435808 137540262664 157188871616 275080525328 550161050656 1100322101312