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110032385452340 = 225132241135078673
BaseRepresentation
bin11001000001001011101001…
…001111111010100100110100
3112102120222211010111012220212
4121001023221033322210310
5103410232311133433330
61030004102520244552
732114402041362131
oct3101135117724464
9472528733435825
10110032385452340
113207252205a93a
121041101b310758
13495201792a700
141d2584b0dd588
15cac2dc98c295
hex6412e93fa934

110032385452340 has 72 divisors (see below), whose sum is σ = 251247954584088. Its totient is φ = 40458763837440.

The previous prime is 110032385452307. The next prime is 110032385452387. The reversal of 110032385452340 is 43254583230011.

It can be written as a sum of positive squares in 12 ways, for example, as 40251690514084 + 69780694938256 = 6344422^2 + 8353484^2 .

It is a super-2 number, since 2×1100323854523402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 66724757 + ... + 68353916.

It is an arithmetic number, because the mean of its divisors is an integer number (3489554924779).

Almost surely, 2110032385452340 is an apocalyptic number.

110032385452340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110032385452340 is an abundant number, since it is smaller than the sum of its proper divisors (141215569131748).

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

110032385452340 is a wasteful number, since it uses less digits than its factorization.

110032385452340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135078949 (or 135078934 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 110032385452340 in words is "one hundred ten trillion, thirty-two billion, three hundred eighty-five million, four hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 241 260 338 482 676 845 964 1205 1690 2410 3133 3380 4820 6266 12532 15665 31330 40729 62660 81458 162916 203645 407290 814580 135078673 270157346 540314692 675393365 1350786730 1756022749 2701573460 3512045498 7024090996 8780113745 17560227490 22828295737 32553960193 35120454980 45656591474 65107920386 91313182948 114141478685 130215840772 162769800965 228282957370 325539601930 423201482509 456565914740 651079203860 846402965018 1692805930036 2116007412545 4232014825090 5501619272617 8464029650180 11003238545234 22006477090468 27508096363085 55016192726170 110032385452340