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100303042224 = 24371141661909
BaseRepresentation
bin101110101101010000…
…1101111011010110000
3100120220021212111000210
41131122201233122300
53120410034322344
6114024550144120
710150413535350
oct1353241573260
9316807774023
10100303042224
11395a14a8220
1217533352040
1395c6534178
144bd73c6b60
152920b49db9
hex175a86f6b0

100303042224 has 160 divisors (see below), whose sum is σ = 330933818880. Its totient is φ = 25417267200.

The previous prime is 100303042223. The next prime is 100303042237. The reversal of 100303042224 is 422240303001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 100303042224.

It is not an unprimeable number, because it can be changed into a prime (100303042223) 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, 179419 + ... + 482490.

It is an arithmetic number, because the mean of its divisors is an integer number (2068336368).

Almost surely, 2100303042224 is an apocalyptic number.

100303042224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100303042224 is an abundant number, since it is smaller than the sum of its proper divisors (230630776656).

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

100303042224 is a wasteful number, since it uses less digits than its factorization.

100303042224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661979 (or 661973 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 100303042224 its reverse (422240303001), we get a palindrome (522543345225).

The spelling of 100303042224 in words is "one hundred billion, three hundred three million, forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 41 42 44 48 56 66 77 82 84 88 112 123 132 154 164 168 176 231 246 264 287 308 328 336 451 462 492 528 574 616 656 861 902 924 984 1148 1232 1353 1722 1804 1848 1968 2296 2706 3157 3444 3608 3696 4592 5412 6314 6888 7216 9471 10824 12628 13776 18942 21648 25256 37884 50512 75768 151536 661909 1323818 1985727 2647636 3971454 4633363 5295272 7280999 7942908 9266726 10590544 13900089 14561998 15885816 18533452 21842997 27138269 27800178 29123996 31771632 37066904 43685994 50966993 54276538 55600356 58247992 74133808 81414807 87371988 101933986 108553076 111200712 116495984 152900979 162829614 174743976 189967883 203867972 217106152 222401424 298520959 305801958 325659228 349487952 379935766 407735944 434212304 569903649 597041918 611603916 651318456 759871532 815471888 895562877 1139807298 1194083836 1223207832 1302636912 1519743064 1791125754 2089646713 2279614596 2388167672 2446415664 3039486128 3582251508 4179293426 4559229192 4776335344 6268940139 7164503016 8358586852 9118458384 12537880278 14329006032 16717173704 25075760556 33434347408 50151521112 100303042224