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10100000202210 = 2325613183070513
BaseRepresentation
bin1001001011111001011011…
…1011001001110111100010
31022202112212101020212110100
42102332112323021313202
52310434300022432320
633251513120243230
72061462264134322
oct222762673116742
938675771225410
1010100000202210
113244427898036
121171545770516
1358356ca08cc9
1426cbb2203282
15127ace1bc790
hex92f96ec9de2

10100000202210 has 48 divisors (see below), whose sum is σ = 26302839169464. Its totient is φ = 2688939680256.

The previous prime is 10100000202197. The next prime is 10100000202239. The reversal of 10100000202210 is 1220200000101.

It can be written as a sum of positive squares in 4 ways, for example, as 6262871620329 + 3837128581881 = 2502573^2 + 1958859^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10100000202192 and 10100000202201.

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, 91480087 + ... + 91590426.

Almost surely, 210100000202210 is an apocalyptic number.

10100000202210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100000202210 is an abundant number, since it is smaller than the sum of its proper divisors (16202838967254).

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

10100000202210 is a wasteful number, since it uses less digits than its factorization.

10100000202210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183071139 (or 183071136 counting only the distinct ones).

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

Adding to 10100000202210 its reverse (1220200000101), we get a palindrome (11320200202311).

The spelling of 10100000202210 in words is "ten trillion, one hundred billion, two hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 613 1226 1839 3065 3678 5517 6130 9195 11034 18390 27585 55170 183070513 366141026 549211539 915352565 1098423078 1647634617 1830705130 2746057695 3295269234 5492115390 8238173085 16476346170 112222224469 224444448938 336666673407 561111122345 673333346814 1010000020221 1122222244690 1683333367035 2020000040442 3366666734070 5050000101105 10100000202210