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100303113040 = 245131743113163
BaseRepresentation
bin101110101101010001…
…0000000101101010000
3100120220022000002011121
41131122202000231100
53120410044104130
6114024551452024
710150414251664
oct1353242005520
9316808002147
10100303113040
11395a1546449
1217533387014
1395c655a480
144bd74048a4
152920b60d7a
hex175a880b50

100303113040 has 160 divisors (see below), whose sum is σ = 266553939456. Its totient is φ = 34772951040.

The previous prime is 100303113019. The next prime is 100303113049. The reversal of 100303113040 is 40311303001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100303113049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7613499 + ... + 7626661.

Almost surely, 2100303113040 is an apocalyptic number.

100303113040 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 100303113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133276969728).

100303113040 is an abundant number, since it is smaller than the sum of its proper divisors (166250826416).

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

100303113040 is a wasteful number, since it uses less digits than its factorization.

100303113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13637 (or 13631 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100303113040 its reverse (40311303001), we get a palindrome (140614416041).

The spelling of 100303113040 in words is "one hundred billion, three hundred three million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 431 442 520 680 862 884 1040 1105 1360 1724 1768 2155 2210 3448 3536 4310 4420 5603 6896 7327 8620 8840 11206 13163 14654 17240 17680 22412 26326 28015 29308 34480 36635 44824 52652 56030 58616 65815 73270 89648 95251 105304 112060 117232 131630 146540 171119 190502 210608 223771 224120 263260 293080 342238 381004 447542 448240 476255 526520 586160 684476 762008 855595 895084 952510 1053040 1118855 1368952 1524016 1711190 1790168 1905020 2237710 2737904 2909023 3422380 3580336 3810040 4475420 5673253 5818046 6844760 7620080 8950840 11346506 11636092 13689520 14545115 17901680 22693012 23272184 28366265 29090230 45386024 46544368 56732530 58180460 73752289 90772048 96445301 113465060 116360920 147504578 192890602 226930120 232721840 295009156 368761445 385781204 453860240 482226505 590018312 737522890 771562408 964453010 1180036624 1253788913 1475045780 1543124816 1928906020 2507577826 2950091560 3857812040 5015155652 5900183120 6268944565 7715624080 10030311304 12537889130 20060622608 25075778260 50151556520 100303113040