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210213133210300 = 225211672852281319
BaseRepresentation
bin101111110011000000001111…
…001000011101001010111100
31000120022011211200121012112111
4233303000033020131022330
5210023112444100212200
62023030325154543404
762164253256245023
oct5763001710351274
91016264750535474
10210213133210300
1160a869864a7880
121b6b0868b97b64
13903b0235a900c
1439ca5271578ba
1519481d541d0ba
hexbf300f21d2bc

210213133210300 has 72 divisors (see below), whose sum is σ = 505059157895040. Its totient is φ = 75300226795200.

The previous prime is 210213133210279. The next prime is 210213133210361. The reversal of 210213133210300 is 3012331312012.

210213133210300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2102131332103002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 1426066960 + ... + 1426214359.

It is an arithmetic number, because the mean of its divisors is an integer number (7014710526320).

Almost surely, 2210213133210300 is an apocalyptic number.

210213133210300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210213133210300 is an abundant number, since it is smaller than the sum of its proper divisors (294846024684740).

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

210213133210300 is a wasteful number, since it uses less digits than its factorization.

210213133210300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852281411 (or 2852281404 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 210213133210300 its reverse (3012331312012), we get a palindrome (213225464522312).

The spelling of 210213133210300 in words is "two hundred ten trillion, two hundred thirteen billion, one hundred thirty-three million, two hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 110 134 220 268 275 335 550 670 737 1100 1340 1474 1675 2948 3350 3685 6700 7370 14740 18425 36850 73700 2852281319 5704562638 11409125276 14261406595 28522813190 31375094509 57045626380 62750189018 71307032975 125500378036 142614065950 156875472545 191102848373 285228131900 313750945090 382205696746 627501890180 764411393492 784377362725 955514241865 1568754725450 1911028483730 2102131332103 3137509450900 3822056967460 4204262664206 4777571209325 8408525328412 9555142418650 10510656660515 19110284837300 21021313321030 42042626642060 52553283302575 105106566605150 210213133210300