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2021000202100 = 2252114347909091
BaseRepresentation
bin11101011010001100111…
…111111100011101110100
321011012112222102122120001
4131122030333330131310
5231103002022431400
64144233520121044
7266004161164045
oct35321477743564
97135488378501
102021000202100
1170a112a21510
12287824a66184
1311876c21a169
146db619368cc
1537886969a6a
hex1d68cffc774

2021000202100 has 144 divisors (see below), whose sum is σ = 4999685999616. Its totient is φ = 702544752000.

The previous prime is 2021000202097. The next prime is 2021000202103. The reversal of 2021000202100 is 12020001202.

It is an interprime number because it is at equal distance from previous prime (2021000202097) and next prime (2021000202103).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021000202103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1768555 + ... + 2677645.

It is an arithmetic number, because the mean of its divisors is an integer number (34720041664).

Almost surely, 22021000202100 is an apocalyptic number.

2021000202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021000202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499842999808).

2021000202100 is an abundant number, since it is smaller than the sum of its proper divisors (2978685797516).

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

2021000202100 is a wasteful number, since it uses less digits than its factorization.

2021000202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909206 (or 909199 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2021000202100 its reverse (12020001202), we get a palindrome (2033020203302).

The spelling of 2021000202100 in words is "two trillion, twenty-one billion, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 47 50 55 86 94 100 110 172 188 215 220 235 275 430 470 473 517 550 860 940 946 1034 1075 1100 1175 1892 2021 2068 2150 2350 2365 2585 4042 4300 4700 4730 5170 8084 9460 10105 10340 11825 12925 20210 22231 23650 25850 40420 44462 47300 50525 51700 88924 101050 111155 202100 222310 444620 555775 909091 1111550 1818182 2223100 3636364 4545455 9090910 10000001 18181820 20000002 22727275 39090913 40000004 42727277 45454550 50000005 78181826 85454554 90909100 100000010 156363652 170909108 195454565 200000020 213636385 250000025 390909130 427272770 430000043 470000047 500000050 781818260 854545540 860000086 940000094 977272825 1000000100 1068181925 1720000172 1837272911 1880000188 1954545650 2136363850 2150000215 2350000235 3674545822 3909091300 4272727700 4300000430 4700000470 7349091644 8600000860 9186364555 9400000940 10750001075 11750001175 18372729110 20210002021 21500002150 23500002350 36745458220 40420004042 43000004300 45931822775 47000004700 80840008084 91863645550 101050010105 183727291100 202100020210 404200040420 505250050525 1010500101050 2021000202100