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2100311003100 = 2235223354785817
BaseRepresentation
bin11110100100000100010…
…010101000111111011100
321102210021021200210021010
4132210010102220333130
5233402414104044400
64244511453535220
7304512443651112
oct36440422507734
97383237623233
102100311003100
1173a811896142
1229b079aa4510
1312309b624bcb
1473926d49ab2
153997969b450
hex1e9044a8fdc

2100311003100 has 144 divisors (see below), whose sum is σ = 6342974523648. Its totient is φ = 535574223360.

The previous prime is 2100311003093. The next prime is 2100311003107. The reversal of 2100311003100 is 13001130012.

It is an interprime number because it is at equal distance from previous prime (2100311003093) and next prime (2100311003107).

It is a super-2 number, since 2×21003110031002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100311003107) 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, 24431392 + ... + 24517208.

It is an arithmetic number, because the mean of its divisors is an integer number (44048434192).

Almost surely, 22100311003100 is an apocalyptic number.

2100311003100 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 2100311003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171487261824).

2100311003100 is an abundant number, since it is smaller than the sum of its proper divisors (4242663520548).

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

2100311003100 is a wasteful number, since it uses less digits than its factorization.

2100311003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89404 (or 89397 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 2100311003100 its reverse (13001130012), we get a palindrome (2113312133112).

The spelling of 2100311003100 in words is "two trillion, one hundred billion, three hundred eleven million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 3547 6900 7094 10641 14188 17735 21282 35470 42564 53205 70940 81581 85817 88675 106410 163162 171634 177350 212820 244743 257451 266025 326324 343268 354700 407905 429085 489486 514902 532050 815810 858170 978972 1029804 1064100 1223715 1287255 1631620 1716340 1973791 2039525 2145425 2447430 2574510 3947582 4079050 4290850 4894860 5149020 5921373 6118575 6436275 7895164 8158100 8581700 9868955 11842746 12237150 12872550 19737910 23685492 24474300 25745100 29606865 39475820 49344775 59213730 98689550 118427460 148034325 197379100 296068650 304392899 592137300 608785798 913178697 1217571596 1521964495 1826357394 3043928990 3652714788 4565893485 6087857980 7001036677 7609822475 9131786970 14002073354 15219644950 18263573940 21003110031 22829467425 28004146708 30439289900 35005183385 42006220062 45658934850 70010366770 84012440124 91317869700 105015550155 140020733540 175025916925 210031100310 350051833850 420062200620 525077750775 700103667700 1050155501550 2100311003100