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103054312040 = 2351918124139
BaseRepresentation
bin101111111111010000…
…1000000001001101000
3100212000000212110200212
41133332201000021220
53142023400441130
6115201551320252
710305532125221
oct1377641001150
9325000773625
10103054312040
113a783521a29
1217b80820088
13994452bc84
144db8964248
152a3245ae95
hex17fe840268

103054312040 has 96 divisors (see below), whose sum is σ = 245491236000. Its totient is φ = 38827019520.

The previous prime is 103054312027. The next prime is 103054312073. The reversal of 103054312040 is 40213450301.

It is a junction number, because it is equal to n+sod(n) for n = 103054311997 and 103054312015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24896291 + ... + 24900429.

It is an arithmetic number, because the mean of its divisors is an integer number (2557200375).

Almost surely, 2103054312040 is an apocalyptic number.

103054312040 is a gapful number since it is divisible by the number (10) 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 103054312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122745618000).

103054312040 is an abundant number, since it is smaller than the sum of its proper divisors (142436923960).

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

103054312040 is a wasteful number, since it uses less digits than its factorization.

103054312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4531 (or 4346 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 103054312040 its reverse (40213450301), we get a palindrome (143267762341).

The spelling of 103054312040 in words is "one hundred three billion, fifty-four million, three hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 181 190 362 380 724 760 905 1448 1810 3439 3620 4139 6878 7240 8278 13756 16556 17195 20695 27512 32761 33112 34390 41390 65522 68780 78641 82780 131044 137560 157282 163805 165560 262088 314564 327610 393205 622459 629128 655220 749159 786410 1244918 1310440 1498318 1572820 2489836 2996636 3112295 3145640 3745795 4979672 5993272 6224590 7491590 12449180 14234021 14983180 24898360 28468042 29966360 56936084 71170105 113872168 135597779 142340210 271195558 284680420 542391116 569360840 677988895 1084782232 1355977790 2576357801 2711955580 5152715602 5423911160 10305431204 12881789005 20610862408 25763578010 51527156020 103054312040