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1010012210220 = 2235131968151971
BaseRepresentation
bin11101011001010010110…
…10110100010000101100
310120120000111011101212210
432230221122310100230
5113022001111211340
62051554310530420
7132654021064206
oct16545132642054
93516014141783
101010012210220
1135a38661a6a2
121438b7066a10
137432266c8a0
1436c56067776
151b415737180
hexeb296b442c

1010012210220 has 96 divisors (see below), whose sum is σ = 3205868762880. Its totient is φ = 235533208320.

The previous prime is 1010012210093. The next prime is 1010012210281. The reversal of 1010012210220 is 220122100101.

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 = 1010012210196 and 1010012210205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34061166 + ... + 34090805.

It is an arithmetic number, because the mean of its divisors is an integer number (33394466280).

Almost surely, 21010012210220 is an apocalyptic number.

1010012210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010012210220 is an abundant number, since it is smaller than the sum of its proper divisors (2195856552660).

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

1010012210220 is a wasteful number, since it uses less digits than its factorization.

1010012210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68152015 (or 68152013 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1010012210220 its reverse (220122100101), we get a palindrome (1230134310321).

The spelling of 1010012210220 in words is "one trillion, ten billion, twelve million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4940 7410 14820 68151971 136303942 204455913 272607884 340759855 408911826 681519710 817823652 885975623 1022279565 1294887449 1363039420 1771951246 2044559130 2589774898 2657926869 3543902492 3884662347 4089118260 4429878115 5179549796 5315853738 6474437245 7769324694 8859756230 10631707476 12948874490 13289634345 15538649388 16833536837 17719512460 19423311735 25897748980 26579268690 33667073674 38846623470 50500610511 53158537380 67334147348 77693246940 84167684185 101001221022 168335368370 202002442044 252503052555 336670736740 505006105110 1010012210220