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1003300010220 = 2235173371291791
BaseRepresentation
bin11101001100110010101…
…01110011100011101100
310112220200200222022110210
432212121111303203230
5112414224300311340
62044524253102420
7132325465243044
oct16463125634354
93486620868423
101003300010220
11357551777472
12142543187a10
13737c2b82701
14367ba826724
151b17131c180
hexe9995738ec

1003300010220 has 96 divisors (see below), whose sum is σ = 2975382014976. Its totient is φ = 251733068800.

The previous prime is 1003300010159. The next prime is 1003300010231. The reversal of 1003300010220 is 220100033001.

It is a happy number.

It is a super-2 number, since 2×10033000102202 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1003300010196 and 1003300010205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3292525 + ... + 3584315.

It is an arithmetic number, because the mean of its divisors is an integer number (30993562656).

Almost surely, 21003300010220 is an apocalyptic number.

1003300010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003300010220 is an abundant number, since it is smaller than the sum of its proper divisors (1972082004756).

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

1003300010220 is a wasteful number, since it uses less digits than its factorization.

1003300010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295191 (or 295189 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1003300010220 its reverse (220100033001), we get a palindrome (1223400043221).

The spelling of 1003300010220 in words is "one trillion, three billion, three hundred million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 3371 6742 10113 13484 16855 20226 33710 40452 50565 57307 67420 101130 114614 171921 202260 229228 286535 291791 343842 573070 583582 687684 859605 875373 1146140 1167164 1458955 1719210 1750746 2917910 3438420 3501492 4376865 4960447 5835820 8753730 9920894 14881341 17507460 19841788 24802235 29762682 49604470 59525364 74406705 99208940 148813410 297626820 983627461 1967254922 2950882383 3934509844 4918137305 5901764766 9836274610 11803529532 14754411915 16721666837 19672549220 29508823830 33443333674 50165000511 59017647660 66886667348 83608334185 100330001022 167216668370 200660002044 250825002555 334433336740 501650005110 1003300010220