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3102011322100 = 22521812946861
BaseRepresentation
bin101101001000111110010…
…010000110111011110100
3101222112211111120100220221
4231020332102012323310
5401310404344301400
610333013324104124
7440053506121315
oct55107622067364
911875744510827
103102011322100
11a96612581949
12421235395044
13196697c4c262
14aa1d111c60c
1555a5532ac1a
hex2d23e486ef4

3102011322100 has 54 divisors (see below), whose sum is σ = 6768767045922. Its totient is φ = 1233947952000.

The previous prime is 3102011322061. The next prime is 3102011322103. The reversal of 3102011322100 is 12231102013.

It can be written as a sum of positive squares in 9 ways, for example, as 2685390128656 + 416621193444 = 1638716^2 + 645462^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3102011322103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2802670 + ... + 3749530.

Almost surely, 23102011322100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3102011322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384383522961).

3102011322100 is an abundant number, since it is smaller than the sum of its proper divisors (3666755723822).

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

3102011322100 is a wasteful number, since it uses less digits than its factorization.

3102011322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947237 (or 947049 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 3102011322100 its reverse (12231102013), we get a palindrome (3114242424113).

The spelling of 3102011322100 in words is "three trillion, one hundred two billion, eleven million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 3620 4525 9050 18100 32761 65522 131044 163805 327610 655220 819025 946861 1638050 1893722 3276100 3787444 4734305 9468610 18937220 23671525 47343050 94686100 171381841 342763682 685527364 856909205 1713818410 3427636820 4284546025 8569092050 17138184100 31020113221 62040226442 124080452884 155100566105 310201132210 620402264420 775502830525 1551005661050 3102011322100