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20103142000304 = 24112101458322433
BaseRepresentation
bin1001001001000101000001…
…01000110100011010110000
32122011211201112100000001002
410210202200220310122300
510113332213323002204
6110431131141101132
74143255412404056
oct444424050643260
978154645300032
1020103142000304
116450770631500
1223081596b77a8
13b2a944a3564c
144d6dd66ca1d6
1524cdded6391e
hex1248a0a346b0

20103142000304 has 120 divisors (see below), whose sum is σ = 43247880770976. Its totient is φ = 9044941312000.

The previous prime is 20103142000247. The next prime is 20103142000307. The reversal of 20103142000304 is 40300024130102.

It is not an unprimeable number, because it can be changed into a prime (20103142000307) 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, 896130272 + ... + 896152704.

Almost surely, 220103142000304 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 20103142000304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21623940385488).

20103142000304 is an abundant number, since it is smaller than the sum of its proper divisors (23144738770672).

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

20103142000304 is a wasteful number, since it uses less digits than its factorization.

20103142000304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27147 (or 27130 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20103142000304 its reverse (40300024130102), we get a palindrome (60403166130406).

The spelling of 20103142000304 in words is "twenty trillion, one hundred three billion, one hundred forty-two million, three hundred four", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 44 88 101 121 176 202 242 404 484 808 968 1111 1616 1936 2222 4444 4583 8888 9166 12221 17776 18332 22433 24442 36664 44866 48884 50413 73328 89732 97768 100826 179464 195536 201652 246763 358928 403304 462883 493526 554543 806608 925766 987052 1109086 1851532 1974104 2218172 2265733 2714393 3703064 3948208 4436344 4531466 5091713 5428786 7406128 8872688 9062932 10183426 10857572 18125864 20366852 21715144 24923063 36251728 40733704 43430288 49846126 56008843 81467408 99692252 102810439 112017686 199384504 205620878 224035372 274153693 398769008 411241756 448070744 548307386 822483512 896141488 1096614772 1130914829 1644967024 2193229544 2261829658 4386459088 4523659316 9047318632 10383854339 12440063119 18094637264 20767708678 24880126238 41535417356 49760252476 83070834712 99520504952 114222397729 166141669424 199041009904 228444795458 456889590916 913779181832 1256446375019 1827558363664 2512892750038 5025785500076 10051571000152 20103142000304