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2141312043100 = 2252163254351659
BaseRepresentation
bin11111001010010000001…
…001001100100001011100
321120201002201101102111011
4133022100021030201130
5240040401340334400
64315412152305004
7310463465023636
oct37122011144134
97521081342434
102141312043100
1175614190836a
122a70010a2164
13126c03bb9b19
14758d6455a56
153aa78ebc8ba
hex1f29024c85c

2141312043100 has 72 divisors (see below), whose sum is σ = 4677083147520. Its totient is φ = 850918841280.

The previous prime is 2141312043061. The next prime is 2141312043107. The reversal of 2141312043100 is 13402131412.

It is a super-2 number, since 2×21413120431002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141312043107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41425071 + ... + 41476729.

It is an arithmetic number, because the mean of its divisors is an integer number (64959488160).

Almost surely, 22141312043100 is an apocalyptic number.

2141312043100 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 2141312043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338541573760).

2141312043100 is an abundant number, since it is smaller than the sum of its proper divisors (2535771104420).

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

2141312043100 is a wasteful number, since it uses less digits than its factorization.

2141312043100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54379 (or 54372 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2141312043100 its reverse (13402131412), we get a palindrome (2154714174512).

The spelling of 2141312043100 in words is "two trillion, one hundred forty-one billion, three hundred twelve million, forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 815 1630 2543 3260 4075 5086 8150 10172 12715 16300 25430 50860 51659 63575 103318 127150 206636 254300 258295 414509 516590 829018 1033180 1291475 1658036 2072545 2582950 4145090 5165900 8290180 8420417 10362725 16840834 20725450 33681668 41450900 42102085 84204170 131368837 168408340 210510425 262737674 421020850 525475348 656844185 842041700 1313688370 2627376740 3284220925 6568441850 13136883700 21413120431 42826240862 85652481724 107065602155 214131204310 428262408620 535328010775 1070656021550 2141312043100