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100111002030 = 233513202914057
BaseRepresentation
bin101110100111100010…
…1001010100110101110
3100120101220111211102000
41131033011022212232
53120011404031110
6113553530113130
710142562322404
oct1351705124656
9316356454360
10100111002030
1139503061616
121749ab7b7a6
139595805c10
144bb9ab7474
15290dd641c0
hex174f14a9ae

100111002030 has 128 divisors (see below), whose sum is σ = 287660419200. Its totient is φ = 24628810752.

The previous prime is 100111002001. The next prime is 100111002073. The reversal of 100111002030 is 30200111001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7114762 + ... + 7128818.

It is an arithmetic number, because the mean of its divisors is an integer number (2247347025).

Almost surely, 2100111002030 is an apocalyptic number.

100111002030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111002030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143830209600).

100111002030 is an abundant number, since it is smaller than the sum of its proper divisors (187549417170).

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

100111002030 is a wasteful number, since it uses less digits than its factorization.

100111002030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16115 (or 16109 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100111002030 its reverse (30200111001), we get a palindrome (130311113031).

The spelling of 100111002030 in words is "one hundred billion, one hundred eleven million, two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 2029 3510 4058 6087 10145 12174 14057 18261 20290 26377 28114 30435 36522 42171 52754 54783 60870 70285 79131 84342 91305 109566 126513 131885 140570 158262 182610 182741 210855 237393 253026 263770 273915 365482 379539 395655 421710 474786 547830 548223 632565 712179 759078 791310 913705 1096446 1186965 1265130 1424358 1644669 1827410 1897695 2373930 2741115 3289338 3560895 3795390 4934007 5482230 7121790 8223345 9868014 16446690 24670035 28521653 49340070 57043306 85564959 142608265 171129918 256694877 285216530 370781489 427824795 513389754 741562978 770084631 855649590 1112344467 1283474385 1540169262 1853907445 2224688934 2566948770 3337033401 3707814890 3850423155 5561722335 6674066802 7700846310 10011100203 11123444670 16685167005 20022200406 33370334010 50055501015 100111002030