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1100101303320 = 2335431559136753
BaseRepresentation
bin10000000000100011001…
…001011011110000011000
310220011112221200111202120
4100000203021123300120
5121011001413201240
62201213552501240
7142323351535335
oct20004311336030
93804487614676
101100101303320
11394606562748
1215925984a820
137c97ba87076
143b360b1798c
151d939811ad0
hex1002325bc18

1100101303320 has 128 divisors (see below), whose sum is σ = 3379246041600. Its totient is φ = 286352123904.

The previous prime is 1100101303243. The next prime is 1100101303331. The reversal of 1100101303320 is 233031010011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1100101303320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7976064 + ... + 8112816.

It is an arithmetic number, because the mean of its divisors is an integer number (26400359700).

Almost surely, 21100101303320 is an apocalyptic number.

1100101303320 is a gapful number since it is divisible by the number (10) 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 1100101303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689623020800).

1100101303320 is an abundant number, since it is smaller than the sum of its proper divisors (2279144738280).

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

1100101303320 is a wasteful number, since it uses less digits than its factorization.

1100101303320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138369 (or 138365 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1100101303320 its reverse (233031010011), we get a palindrome (1333132313331).

The spelling of 1100101303320 in words is "one trillion, one hundred billion, one hundred one million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1559 1720 2580 3118 4677 5160 6236 7795 9354 12472 15590 18708 23385 31180 37416 46770 62360 67037 93540 134074 136753 187080 201111 268148 273506 335185 402222 410259 536296 547012 670370 683765 804444 820518 1005555 1094024 1340740 1367530 1608888 1641036 2011110 2051295 2681480 2735060 3282072 4022220 4102590 5470120 5880379 8044440 8205180 11760758 16410360 17641137 23521516 29401895 35282274 47043032 58803790 70564548 88205685 117607580 141129096 176411370 213197927 235215160 352822740 426395854 639593781 705645480 852791708 1065989635 1279187562 1705583416 2131979270 2558375124 3197968905 4263958540 5116750248 6395937810 8527917080 9167510861 12791875620 18335021722 25583751240 27502532583 36670043444 45837554305 55005065166 73340086888 91675108610 110010130332 137512662915 183350217220 220020260664 275025325830 366700434440 550050651660 1100101303320