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1101212253204 = 223741919934759
BaseRepresentation
bin10000000001100101010…
…111010111110000010100
310220021102101010121111120
4100001211113113300110
5121020240314100304
62201520120203540
7142363031465310
oct20014527276024
93807371117446
101101212253204
11395026676848
121595099095b0
137cac7c9ca6b
143b4284a6b40
151d9a210c0d9
hex100655d7c14

1101212253204 has 96 divisors (see below), whose sum is σ = 3008603136000. Its totient is φ = 306915920640.

The previous prime is 1101212253161. The next prime is 1101212253221. The reversal of 1101212253204 is 4023522121011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31663977 + ... + 31698735.

It is an arithmetic number, because the mean of its divisors is an integer number (31339616000).

Almost surely, 21101212253204 is an apocalyptic number.

1101212253204 is a gapful number since it is divisible by the number (14) 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 1101212253204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504301568000).

1101212253204 is an abundant number, since it is smaller than the sum of its proper divisors (1907390882796).

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

1101212253204 is a wasteful number, since it uses less digits than its factorization.

1101212253204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44013 (or 44011 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 1101212253204 its reverse (4023522121011), we get a palindrome (5124734374215).

The spelling of 1101212253204 in words is "one trillion, one hundred one billion, two hundred twelve million, two hundred fifty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 9199 18398 27597 34759 36796 55194 64393 69518 104277 110388 128786 139036 193179 208554 243313 257572 377159 386358 417108 486626 729939 754318 772716 973252 1131477 1425119 1459878 1508636 2262954 2640113 2850238 2919756 4275357 4525908 5280226 5700476 7920339 8550714 9975833 10560452 15840678 17101428 19951666 29927499 31681356 39903332 59854998 119709996 319748041 639496082 959244123 1278992164 1918488246 2238236287 3836976492 4476472574 6714708861 8952945148 13109669681 13429417722 26219339362 26858835444 39329009043 52438678724 78658018086 91767687767 157316036172 183535375534 275303063301 367070751068 550606126602 1101212253204