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1100200101312 = 263132915199493
BaseRepresentation
bin10000000000101001000…
…010010100010111000000
310220011210211120222010110
4100000221002110113000
5121011202211220222
62201231442231320
7142325661363204
oct20005102242700
93804724528113
101100200101312
11394657303084
12159286955540
137c996399710
143b36dcb4b04
151d94332a30c
hex100290945c0

1100200101312 has 112 divisors (see below), whose sum is σ = 3242964039840. Its totient is φ = 326849875968.

The previous prime is 1100200101293. The next prime is 1100200101337. The reversal of 1100200101312 is 2131010020011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7527363 + ... + 7672130.

It is an arithmetic number, because the mean of its divisors is an integer number (28955036070).

Almost surely, 21100200101312 is an apocalyptic number.

1100200101312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100200101312 is an abundant number, since it is smaller than the sum of its proper divisors (2142763938528).

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

1100200101312 is a wasteful number, since it uses less digits than its factorization.

1100200101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15199550 (or 15199540 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1100200101312 its reverse (2131010020011), we get a palindrome (3231210121323).

The spelling of 1100200101312 in words is "one trillion, one hundred billion, two hundred million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 156 174 192 208 232 312 348 377 416 464 624 696 754 832 928 1131 1248 1392 1508 1856 2262 2496 2784 3016 4524 5568 6032 9048 12064 18096 24128 36192 72384 15199493 30398986 45598479 60797972 91196958 121595944 182393916 197593409 243191888 364787832 395186818 440785297 486383776 592780227 729575664 790373636 881570594 972767552 1185560454 1322355891 1459151328 1580747272 1763141188 2371120908 2644711782 2918302656 3161494544 3526282376 4742241816 5289423564 5730208861 6322989088 7052564752 9484483632 10578847128 11460417722 12645978176 14105129504 17190626583 18968967264 21157694256 22920835444 28210259008 34381253166 37937934528 42315388512 45841670888 68762506332 84630777024 91683341776 137525012664 183366683552 275050025328 366733367104 550100050656 1100200101312