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1000202120010 = 232537659455783
BaseRepresentation
bin11101000111000001011…
…00010010101101001010
310112121200210202012000100
432203200230102231022
5112341403220320020
62043253030350230
7132155640513132
oct16434054225512
93477623665010
101000202120010
11356202026725
12141a197bb376
137341b115a92
14365a521bac2
151b03e38da90
hexe8e0b12b4a

1000202120010 has 96 divisors (see below), whose sum is σ = 2674868676480. Its totient is φ = 259117536384.

The previous prime is 1000202119999. The next prime is 1000202120063. The reversal of 1000202120010 is 100212020001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000202119974 and 1000202120001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1966579 + ... + 2422361.

It is an arithmetic number, because the mean of its divisors is an integer number (27863215380).

Almost surely, 21000202120010 is an apocalyptic number.

1000202120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000202120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337434338240).

1000202120010 is an abundant number, since it is smaller than the sum of its proper divisors (1674666556470).

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

1000202120010 is a wasteful number, since it uses less digits than its factorization.

1000202120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456492 (or 456489 counting only the distinct ones).

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

Adding to 1000202120010 its reverse (100212020001), we get a palindrome (1100414140011).

The spelling of 1000202120010 in words is "one trillion, two hundred two million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 659 666 1110 1318 1665 1977 3295 3330 3954 5931 6590 9885 11862 19770 24383 29655 48766 59310 73149 121915 146298 219447 243830 365745 438894 455783 731490 911566 1097235 1367349 2194470 2278915 2734698 4102047 4557830 6836745 8204094 13673490 16863971 20510235 33727942 41020470 50591913 84319855 101183826 151775739 168639710 252959565 300360997 303551478 505919130 600721994 758878695 901082991 1501804985 1517757390 1802165982 2703248973 3003609970 4505414955 5406497946 9010829910 11113356889 13516244865 22226713778 27032489730 33340070667 55566784445 66680141334 100020212001 111133568890 166700353335 200040424002 333400706670 500101060005 1000202120010