Search a number
-
+
1100335805112 = 2331013739531277
BaseRepresentation
bin10000000000110001000…
…111111111001010111000
310220012011021221102202010
4100000301013333022320
5121011441431230422
62201253131005520
7142332230011125
oct20006107771270
93805137842663
101100335805112
11394716970385
121593042998a0
137c9b853141b
143b383d1b74c
151d9501d3b0c
hex100311ff2b8

1100335805112 has 128 divisors (see below), whose sum is σ = 2790629962560. Its totient is φ = 361510195200.

The previous prime is 1100335805111. The next prime is 1100335805161. The reversal of 1100335805112 is 2115085330011.

It is a super-2 number, since 2×11003358051122 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1100335805112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100335805111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 861656218 + ... + 861657494.

Almost surely, 21100335805112 is an apocalyptic number.

1100335805112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100335805112 is an abundant number, since it is smaller than the sum of its proper divisors (1690294157448).

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

1100335805112 is a wasteful number, since it uses less digits than its factorization.

1100335805112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 1100335805112 in words is "one trillion, one hundred billion, three hundred thirty-five million, eight hundred five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 101 202 303 373 404 606 746 808 953 1119 1212 1277 1492 1906 2238 2424 2554 2859 2984 3812 3831 4476 5108 5718 7624 7662 8952 10216 11436 15324 22872 30648 37673 75346 96253 113019 128977 150692 192506 226038 257954 288759 301384 355469 385012 386931 452076 476321 515908 577518 710938 770024 773862 904152 952642 1031816 1066407 1155036 1216981 1421876 1428963 1547724 1905284 2132814 2310072 2433962 2843752 2857926 3095448 3650943 3810568 4265628 4867924 5715852 7301886 8531256 9735848 11431704 14603772 29207544 35902369 48108421 71804738 96216842 107707107 122915081 143609476 144325263 192433684 215414214 245830162 287218952 288650526 368745243 384867368 430828428 453933913 491660324 577301052 737490486 861656856 907867826 983320648 1154602104 1361801739 1474980972 1815735652 2723603478 2949961944 3631471304 5447206956 10894413912 45847325213 91694650426 137541975639 183389300852 275083951278 366778601704 550167902556 1100335805112