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103101413420 = 225194127124419
BaseRepresentation
bin110000000000101010…
…0101011100000101100
3100212010022111110122102
41200001110223200230
53142122430212140
6115210353034232
710306643361065
oct1400124534054
9325108443572
10103101413420
113a7a8072995
1217b94555978
139951210c05
144dc0d0556c
152a36661e15
hex180152b82c

103101413420 has 96 divisors (see below), whose sum is σ = 234338227200. Its totient is φ = 37974873600.

The previous prime is 103101413351. The next prime is 103101413447. The reversal of 103101413420 is 24314101301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103101413392 and 103101413401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4209971 + ... + 4234389.

It is an arithmetic number, because the mean of its divisors is an integer number (2441023200).

Almost surely, 2103101413420 is an apocalyptic number.

103101413420 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 103101413420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117169113600).

103101413420 is an abundant number, since it is smaller than the sum of its proper divisors (131236813780).

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

103101413420 is a wasteful number, since it uses less digits than its factorization.

103101413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24759 (or 24757 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 103101413420 its reverse (24314101301), we get a palindrome (127415514721).

The spelling of 103101413420 in words is "one hundred three billion, one hundred one million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 271 380 410 542 779 820 1084 1355 1558 2710 3116 3895 5149 5420 7790 10298 11111 15580 20596 22222 24419 25745 44444 48838 51490 55555 97676 102980 111110 122095 211109 222220 244190 422218 463961 488380 844436 927922 1001179 1055545 1855844 2002358 2111090 2319805 4004716 4222180 4639610 5005895 6617549 9279220 10011790 13235098 19022401 20023580 26470196 33087745 38044802 66175490 76089604 95112005 125733431 132350980 190224010 251466862 271319509 380448020 502933724 542639018 628667155 1085278036 1257334310 1356597545 2514668620 2713195090 5155070671 5426390180 10310141342 20620282684 25775353355 51550706710 103101413420