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1101402923040 = 253257109266163
BaseRepresentation
bin10000000001110000101…
…110101110000000100000
310220021220122220122100100
4100001300232232000200
5121021133122014130
62201551051022400
7142400535243120
oct20016056560040
93807818818310
101101402923040
11395114266922
1215956173aa00
137cb2863b354
143b44593ac80
151d9b3c21c60
hex10070bae020

1101402923040 has 144 divisors (see below), whose sum is σ = 4295471439168. Its totient is φ = 251749237248.

The previous prime is 1101402923039. The next prime is 1101402923041. The reversal of 1101402923040 is 403292041011.

It is a happy number.

1101402923040 is a `hidden beast` number, since 1 + 101 + 402 + 92 + 30 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1101402923039) and next prime (1101402923041).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1101402922995 and 1101402923013.

It is not an unprimeable number, because it can be changed into a prime (1101402923041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54623002 + ... + 54643161.

It is an arithmetic number, because the mean of its divisors is an integer number (29829662772).

Almost surely, 21101402923040 is an apocalyptic number.

1101402923040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101402923040 is an abundant number, since it is smaller than the sum of its proper divisors (3194068516128).

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

1101402923040 is a wasteful number, since it uses less digits than its factorization.

1101402923040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109266191 (or 109266180 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1101402923040 its reverse (403292041011), we get a palindrome (1504694964051).

The spelling of 1101402923040 in words is "one trillion, one hundred one billion, four hundred two million, nine hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 109266163 218532326 327798489 437064652 546330815 655596978 764863141 874129304 983395467 1092661630 1311193956 1529726282 1638992445 1748258608 1966790934 2185323260 2294589423 2622387912 3059452564 3277984890 3496517216 3824315705 3933581868 4370646520 4589178846 4916977335 5244775824 6118905128 6555969780 6883768269 7648631410 7867163736 8741293040 9178357692 9833954670 10489551648 11472947115 12237810256 13111939560 13767536538 15297262820 15734327472 17482586080 18356715384 19667909340 22945894230 24475620512 26223879120 27535073076 30594525640 31468654944 34418841345 36713430768 39335818680 45891788460 52447758240 55070146152 61189051280 68837682690 73426861536 78671637360 91783576920 110140292304 122378102560 137675365380 157343274720 183567153840 220280584608 275350730760 367134307680 550701461520 1101402923040