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100100103130 = 254167101109331
BaseRepresentation
bin101110100111001101…
…1100101101111011010
3100120101011000002221001
41131032123211233122
53120001111300010
6113552500335214
710142400560236
oct1351633455732
9316334002831
10100100103130
11394a7998065
12174973a450a
13959348b171
144bb847b5c6
15290ce0ec3a
hex174e6e5bda

100100103130 has 128 divisors (see below), whose sum is σ = 191496856320. Its totient is φ = 37635840000.

The previous prime is 100100103121. The next prime is 100100103133. The reversal of 100100103130 is 31301001001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100100103133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302417065 + ... + 302417395.

It is an arithmetic number, because the mean of its divisors is an integer number (1496069190).

Almost surely, 2100100103130 is an apocalyptic number.

100100103130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100103130 is a deficient number, since it is larger than the sum of its proper divisors (91396753190).

100100103130 is a wasteful number, since it uses less digits than its factorization.

100100103130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 100100103130 its reverse (31301001001), we get a palindrome (131401104131).

The spelling of 100100103130 in words is "one hundred billion, one hundred million, one hundred three thousand, one hundred thirty".

Divisors: 1 2 5 10 41 67 82 101 109 134 202 205 218 331 335 410 505 545 662 670 1010 1090 1655 2747 3310 4141 4469 5494 6767 7303 8282 8938 11009 13534 13571 13735 14606 20705 22018 22177 22345 27142 27470 33431 33835 36079 36515 41410 44354 44690 55045 66862 67670 67855 72158 73030 110090 110885 135710 167155 180395 221770 277447 299423 334310 360790 451369 554894 598846 737603 902738 909257 1370671 1387235 1475206 1479239 1497115 1818514 2239877 2256845 2417293 2741342 2774470 2958478 2994230 3643979 3688015 4479754 4513690 4546285 4834586 6853355 7287958 7376030 7396195 9092570 11199385 12086465 13706710 14792390 18219895 22398770 24172930 30241723 36439790 60483446 91834957 99109013 149403139 151208615 183669914 198218026 244146593 298806278 302417230 459174785 488293186 495545065 747015695 918349570 991090130 1220732965 1494031390 2441465930 10010010313 20020020626 50050051565 100100103130