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1013203112220 = 22325133491240667
BaseRepresentation
bin11101011111001111001…
…11001001000100011100
310120212020212102000112100
432233213213021010130
5113100014444042340
62053243055005100
7133126055232405
oct16574747110434
93525225360470
101013203112220
11360773819592
12144447809790
1374710774290
1437079b649ac
151b550939830
hexebe79c911c

1013203112220 has 144 divisors (see below), whose sum is σ = 3319283167200. Its totient is φ = 248689018368.

The previous prime is 1013203112183. The next prime is 1013203112287. The reversal of 1013203112220 is 222113023101.

1013203112220 is a `hidden beast` number, since 1 + 0 + 132 + 0 + 311 + 2 + 220 = 666.

It is a super-2 number, since 2×10132031122202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1013203112193 and 1013203112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196327 + ... + 1436993.

It is an arithmetic number, because the mean of its divisors is an integer number (23050577550).

Almost surely, 21013203112220 is an apocalyptic number.

1013203112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013203112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659641583600).

1013203112220 is an abundant number, since it is smaller than the sum of its proper divisors (2306080054980).

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

1013203112220 is a wasteful number, since it uses less digits than its factorization.

1013203112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241044 (or 1241039 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1013203112220 its reverse (222113023101), we get a palindrome (1235316135321).

The spelling of 1013203112220 in words is "one trillion, thirteen billion, two hundred three million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 349 390 468 585 698 780 1047 1170 1396 1745 2094 2340 3141 3490 4188 4537 5235 6282 6980 9074 10470 12564 13611 15705 18148 20940 22685 27222 31410 40833 45370 54444 62820 68055 81666 90740 136110 163332 204165 272220 408330 816660 1240667 2481334 3722001 4962668 6203335 7444002 11166003 12406670 14888004 16128671 18610005 22332006 24813340 32257342 37220010 44664012 48386013 55830015 64514684 74440020 80643355 96772026 111660030 145158039 161286710 193544052 223320060 241930065 290316078 322573420 432992783 483860130 580632156 725790195 865985566 967720260 1298978349 1451580390 1731971132 2164963915 2597956698 2903160780 3896935047 4329927830 5195913396 5628906179 6494891745 7793870094 8659855660 11257812358 12989783490 15587740188 16886718537 19484675235 22515624716 25979566980 28144530895 33773437074 38969350470 50660155611 56289061790 67546874148 77938700940 84433592685 101320311222 112578123580 168867185370 202640622444 253300778055 337734370740 506601556110 1013203112220