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1010011220100 = 2232523136201119
BaseRepresentation
bin11101011001010010101…
…11000010100010000100
310120120000102022002200200
432230221113002202010
5113022000333020400
62051554233410500
7132654006501441
oct16545127024204
93516012262620
101010011220100
1135a386003813
121438b6869a30
13743223b400c
1436c55c8a9c8
151b4155ddb00
hexeb295c2884

1010011220100 has 108 divisors (see below), whose sum is σ = 3267947504640. Its totient is φ = 260648049600.

The previous prime is 1010011220083. The next prime is 1010011220137. The reversal of 1010011220100 is 10221100101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18072660 + ... + 18128459.

Almost surely, 21010011220100 is an apocalyptic number.

1010011220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010011220100 is an abundant number, since it is smaller than the sum of its proper divisors (2257936284540).

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

1010011220100 is a wasteful number, since it uses less digits than its factorization.

1010011220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36201170 (or 36201160 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010011220100 its reverse (10221100101), we get a palindrome (1020232320201).

The spelling of 1010011220100 in words is "one trillion, ten billion, eleven million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 150 155 180 186 225 279 300 310 372 450 465 558 620 775 900 930 1116 1395 1550 1860 2325 2790 3100 4650 5580 6975 9300 13950 27900 36201119 72402238 108603357 144804476 181005595 217206714 325810071 362011190 434413428 543016785 651620142 724022380 905027975 1086033570 1122234689 1303240284 1629050355 1810055950 2172067140 2244469378 2715083925 3258100710 3366704067 3620111900 4488938756 5430167850 5611173445 6516201420 6733408134 8145251775 10100112201 10860335700 11222346890 13466816268 16290503550 16833520335 20200224402 22444693780 28055867225 32581007100 33667040670 40400448804 50500561005 56111734450 67334081340 84167601675 101001122010 112223468900 168335203350 202002244020 252502805025 336670406700 505005610050 1010011220100