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20332030131100 = 22527317211618367
BaseRepresentation
bin1001001111101111010110…
…11011101111101110011100
32122222201112010201210002201
410213313223123233232130
510131104444203143400
6111124223344101244
74165640442410542
oct447675333575634
978881463653081
1020332030131100
116529846a54966
122344597904824
13b463c0c7162c
1450410b2a7d92
15253d394d406a
hex127deb6efb9c

20332030131100 has 72 divisors (see below), whose sum is σ = 44750911258368. Its totient is φ = 8016737817600.

The previous prime is 20332030131059. The next prime is 20332030131107. The reversal of 20332030131100 is 113103023302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20332030131107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11754117 + ... + 13372483.

It is an arithmetic number, because the mean of its divisors is an integer number (621540434144).

Almost surely, 220332030131100 is an apocalyptic number.

20332030131100 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 20332030131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22375455629184).

20332030131100 is an abundant number, since it is smaller than the sum of its proper divisors (24418881127268).

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

20332030131100 is a wasteful number, since it uses less digits than its factorization.

20332030131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620175 (or 1620168 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 20332030131100 its reverse (113103023302), we get a palindrome (20445133154402).

The spelling of 20332030131100 in words is "twenty trillion, three hundred thirty-two billion, thirty million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1721 1825 3442 3650 6884 7300 8605 17210 34420 43025 86050 125633 172100 251266 502532 628165 1256330 1618367 2512660 3140825 3236734 6281650 6473468 8091835 12563300 16183670 32367340 40459175 80918350 118140791 161836700 236281582 472563164 590703955 1181407910 2362815820 2785209607 2953519775 5570419214 5907039550 11140838428 11814079100 13926048035 27852096070 55704192140 69630240175 139260480350 203320301311 278520960700 406640602622 813281205244 1016601506555 2033203013110 4066406026220 5083007532775 10166015065550 20332030131100