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2102311322118 = 2327191511581177
BaseRepresentation
bin11110100101111011100…
…001010000001000000110
321102222102200122112002200
4132211323201100020012
5233421013144301433
64245442151415330
7304613143252020
oct36457341201006
97388380575080
102102311322118
11740648a30457
1229b537984546
13123329b81527
1473a76889010
1539a450c3613
hex1e97b850206

2102311322118 has 96 divisors (see below), whose sum is σ = 5483344688640. Its totient is φ = 568669092480.

The previous prime is 2102311322071. The next prime is 2102311322119. The reversal of 2102311322118 is 8112231132012.

It is a happy number.

2102311322118 is a `hidden beast` number, since 2 + 10 + 2 + 311 + 322 + 1 + 18 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2102311322091 and 2102311322100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102311322119) 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, 3326746 + ... + 3907922.

It is an arithmetic number, because the mean of its divisors is an integer number (57118173840).

Almost surely, 22102311322118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102311322118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741672344320).

2102311322118 is an abundant number, since it is smaller than the sum of its proper divisors (3381033366522).

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

2102311322118 is a wasteful number, since it uses less digits than its factorization.

2102311322118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582722 (or 582719 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 2102311322118 in words is "two trillion, one hundred two billion, three hundred eleven million, three hundred twenty-two thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 1511 2394 3022 4533 9066 10577 13599 21154 27198 28709 31731 57418 63462 86127 95193 172254 190386 200963 258381 401926 516762 581177 602889 1162354 1205778 1743531 1808667 3487062 3617334 4068239 5230593 8136478 10461186 11042363 12204717 22084726 24409434 33127089 36614151 66254178 73228302 77296541 99381267 154593082 198762534 231889623 463779246 695668869 878158447 1391337738 1756316894 2634475341 5268950682 6147109129 7903426023 12294218258 15806852046 16685010493 18441327387 33370020986 36882654774 50055031479 55323982161 100110062958 110647964322 116795073451 150165094437 233590146902 300330188874 350385220353 700770440706 1051155661059 2102311322118