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103883386050 = 232521409163841
BaseRepresentation
bin110000010111111101…
…1101010110011000010
3100221010210220210102200
41200233323222303002
53200223121323200
6115420125254030
710335220132503
oct1405773526302
9327123823380
10103883386050
1140069510564
1218172404316
139a47221502
145056adabaa
152a80127800
hex182feeacc2

103883386050 has 72 divisors (see below), whose sum is σ = 279299818980. Its totient is φ = 27682406400.

The previous prime is 103883386049. The next prime is 103883386091. The reversal of 103883386050 is 50683388301.

103883386050 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 8 + 3 + 38 + 605 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 36874368729 + 67009017321 = 192027^2 + 258861^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 103883385987 and 103883386005.

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, 552130 + ... + 715970.

Almost surely, 2103883386050 is an apocalyptic number.

103883386050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103883386050 is an abundant number, since it is smaller than the sum of its proper divisors (175416432930).

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

103883386050 is a wasteful number, since it uses less digits than its factorization.

103883386050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165268 (or 165260 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 103883386050 in words is "one hundred three billion, eight hundred eighty-three million, three hundred eighty-six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 1409 2818 4227 7045 8454 12681 14090 21135 25362 35225 42270 63405 70450 105675 126810 163841 211350 317025 327682 491523 634050 819205 983046 1474569 1638410 2457615 2949138 4096025 4915230 7372845 8192050 12288075 14745690 24576150 36864225 73728450 230851969 461703938 692555907 1154259845 1385111814 2077667721 2308519690 3462779535 4155335442 5771299225 6925559070 10388338605 11542598450 17313897675 20776677210 34627795350 51941693025 103883386050