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1002201023120 = 245111766992047
BaseRepresentation
bin11101001010101111101…
…01100000001010010000
310112210212010000222120212
432211113311200022100
5112410001430214440
62044223234023252
7132256322066033
oct16452765401220
93483763028525
101002201023120
11357038394170
12142297117b28
1373679297a9b
14367148ad01a
151b109ad6465
hexe957d60290

1002201023120 has 80 divisors (see below), whose sum is σ = 2691472520448. Its totient is φ = 342999275520.

The previous prime is 1002201023119. The next prime is 1002201023129. The reversal of 1002201023120 is 213201022001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1002201023095 and 1002201023104.

It is not an unprimeable number, because it can be changed into a prime (1002201023129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33481064 + ... + 33510983.

Almost surely, 21002201023120 is an apocalyptic number.

1002201023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002201023120 is an abundant number, since it is smaller than the sum of its proper divisors (1689271497328).

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

1002201023120 is a wasteful number, since it uses less digits than its factorization.

1002201023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66992088 (or 66992082 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1002201023120 its reverse (213201022001), we get a palindrome (1215402045121).

The spelling of 1002201023120 in words is "one trillion, two billion, two hundred one million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 66992047 133984094 267968188 334960235 535936376 669920470 736912517 1071872752 1138864799 1339840940 1473825034 2277729598 2679681880 2947650068 3684562585 4555459196 5359363760 5694323995 5895300136 7369125170 9110918392 11388647990 11790600272 12527512789 14738250340 18221836784 22777295980 25055025578 29476500680 45554591960 50110051156 58953001360 62637563945 91109183920 100220102312 125275127890 200440204624 250550255780 501100511560 1002201023120