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1010202201000 = 233253112244689
BaseRepresentation
bin11101011001101001011…
…11100100101110101000
310120120111201122221020100
432230310233210232220
5113022343230413000
62052025215025400
7132661516013166
oct16546457445650
93516451587210
101010202201000
1135a473896573
1214394a80b260
1374352b31075
1436c733a2236
151b427265a00
hexeb34be4ba8

1010202201000 has 96 divisors (see below), whose sum is σ = 3414483469800. Its totient is φ = 269387251200.

The previous prime is 1010202200983. The next prime is 1010202201061. The reversal of 1010202201000 is 1022020101.

It can be written as a sum of positive squares in 4 ways, for example, as 473842243044 + 536359957956 = 688362^2 + 732366^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56113345 + ... + 56131344.

Almost surely, 21010202201000 is an apocalyptic number.

1010202201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010202201000 is an abundant number, since it is smaller than the sum of its proper divisors (2404281268800).

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

1010202201000 is a wasteful number, since it uses less digits than its factorization.

1010202201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112244716 (or 112244699 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1010202201000 its reverse (1022020101), we get a palindrome (1011224221101).

The spelling of 1010202201000 in words is "one trillion, ten billion, two hundred two million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 112244689 224489378 336734067 448978756 561223445 673468134 897957512 1010202201 1122446890 1346936268 1683670335 2020404402 2244893780 2693872536 2806117225 3367340670 4040808804 4489787560 5051011005 5612234450 6734681340 8081617608 8418351675 10102022010 11224468900 13469362680 14030586125 16836703350 20204044020 22448937800 25255055025 28061172250 33673406700 40408088040 42091758375 50510110050 56122344500 67346813400 84183516750 101020220100 112244689000 126275275125 168367033500 202040440200 252550550250 336734067000 505101100500 1010202201000