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20141320002100 = 22521125331407017
BaseRepresentation
bin1001001010001100001000…
…01110010101101000110100
32122022111021012222102212121
410211012010032111220310
510114443410410031400
6110500443352125324
74146106454146543
oct445060416255064
978274235872777
1020141320002100
116465982070300
122313633396844
13b3141a49505b
144d8bb8cd615a
1524ddc68e921a
hex125184395a34

20141320002100 has 108 divisors (see below), whose sum is σ = 48947649110892. Its totient is φ = 7185925260800.

The previous prime is 20141320002079. The next prime is 20141320002137. The reversal of 20141320002100 is 120002314102.

20141320002100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 558282384 + 20140761719716 = 23628^2 + 4487846^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15062209 + ... + 16344808.

It is an arithmetic number, because the mean of its divisors is an integer number (453218973249).

Almost surely, 220141320002100 is an apocalyptic number.

20141320002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20141320002100 is an abundant number, since it is smaller than the sum of its proper divisors (28806329108792).

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

20141320002100 is a wasteful number, since it uses less digits than its factorization.

20141320002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31407106 (or 31407088 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20141320002100 its reverse (120002314102), we get a palindrome (20261322316202).

The spelling of 20141320002100 in words is "twenty trillion, one hundred forty-one billion, three hundred twenty million, two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 110 121 212 220 242 265 275 484 530 550 583 605 1060 1100 1166 1210 1325 2332 2420 2650 2915 3025 5300 5830 6050 6413 11660 12100 12826 14575 25652 29150 32065 58300 64130 128260 160325 320650 641300 31407017 62814034 125628068 157035085 314070170 345477187 628140340 690954374 785175425 1381908748 1570350850 1664571901 1727385935 3140701700 3329143802 3454771870 3800249057 6658287604 6909543740 7600498114 8322859505 8636929675 15200996228 16645719010 17273859350 18310290911 19001245285 33291438020 34547718700 36620581822 38002490570 41614297525 73241163644 76004981140 83228595050 91551454555 95006226425 166457190100 183102909110 190012452850 201413200021 366205818220 380024905700 402826400042 457757272775 805652800084 915514545550 1007066000105 1831029091100 2014132000210 4028264000420 5035330000525 10070660001050 20141320002100