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2010211102300 = 22521730717892153
BaseRepresentation
bin11101010000001001111…
…010110010111001011100
321010011201001211121000011
4131100021322302321130
5230413403020233200
64135251144213004
7265142622304432
oct35201172627134
97104631747004
102010211102300
11705586841105
1228571376a164
1311773cbc533b
146d41aa84d52
15374546895ba
hex1d409eb2e5c

2010211102300 has 144 divisors (see below), whose sum is σ = 4638544051680. Its totient is φ = 753548451840.

The previous prime is 2010211102279. The next prime is 2010211102313. The reversal of 2010211102300 is 32011120102.

It is a congruent number.

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, 933678024 + ... + 933680176.

It is an arithmetic number, because the mean of its divisors is an integer number (32212111470).

Almost surely, 22010211102300 is an apocalyptic number.

2010211102300 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 2010211102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319272025840).

2010211102300 is an abundant number, since it is smaller than the sum of its proper divisors (2628332949380).

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

2010211102300 is a wasteful number, since it uses less digits than its factorization.

2010211102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2010211102300 its reverse (32011120102), we get a palindrome (2042222222402).

The spelling of 2010211102300 in words is "two trillion, ten billion, two hundred eleven million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 307 340 425 614 850 1228 1535 1700 1789 2153 3070 3578 4306 5219 6140 7156 7675 8612 8945 10438 10765 15350 17890 20876 21530 26095 30413 30700 35780 36601 43060 44725 52190 53825 60826 73202 89450 104380 107650 121652 130475 146404 152065 178900 183005 215300 260950 304130 366010 521900 549223 608260 660971 732020 760325 915025 1098446 1321942 1520650 1830050 2196892 2643884 2746115 3041300 3304855 3660100 3851717 5492230 6609710 7703434 9336791 10984460 11236507 13219420 13730575 15406868 16524275 18673582 19258585 22473014 27461150 33048550 37347164 38517170 44946028 46683955 54922300 56182535 65479189 66097100 77034340 93367910 96292925 112365070 130958378 186735820 192585850 224730140 233419775 261916756 280912675 327395945 385171700 466839550 561825350 654791890 933679100 1123650700 1182477119 1309583780 1636979725 2364954238 3273959450 4729908476 5912385595 6547918900 11824771190 20102111023 23649542380 29561927975 40204222046 59123855950 80408444092 100510555115 118247711900 201021110230 402042220460 502552775575 1005105551150 2010211102300