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100102102320 = 243511172230439
BaseRepresentation
bin101110100111010001…
…1001101110100110000
3100120101021202200022010
41131032203031310300
53120002114233240
6113553011242520
710142423554623
oct1351643156460
9316337680263
10100102102320
11394a9033090
1217497ba9440
139593a0b10c
144bb883bdba
15290d1a7280
hex174e8cdd30

100102102320 has 160 divisors (see below), whose sum is σ = 358440629760. Its totient is φ = 22839685120.

The previous prime is 100102102267. The next prime is 100102102327. The reversal of 100102102320 is 23201201001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100102102296 and 100102102305.

It is not an unprimeable number, because it can be changed into a prime (100102102327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1070340 + ... + 1160099.

It is an arithmetic number, because the mean of its divisors is an integer number (2240253936).

Almost surely, 2100102102320 is an apocalyptic number.

100102102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102102320 is an abundant number, since it is smaller than the sum of its proper divisors (258338527440).

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

100102102320 is a wasteful number, since it uses less digits than its factorization.

100102102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230483 (or 2230477 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100102102320 its reverse (23201201001), we get a palindrome (123303303321).

The spelling of 100102102320 in words is "one hundred billion, one hundred two million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 33 34 40 44 48 51 55 60 66 68 80 85 88 102 110 120 132 136 165 170 176 187 204 220 240 255 264 272 330 340 374 408 440 510 528 561 660 680 748 816 880 935 1020 1122 1320 1360 1496 1870 2040 2244 2640 2805 2992 3740 4080 4488 5610 7480 8976 11220 14960 22440 44880 2230439 4460878 6691317 8921756 11152195 13382634 17843512 22304390 24534829 26765268 33456585 35687024 37917463 44608780 49069658 53530536 66913170 73604487 75834926 89217560 98139316 107061072 113752389 122674145 133826340 147208974 151669852 178435120 189587315 196278632 227504778 245348290 267652680 294417948 303339704 368022435 379174630 392557264 417092093 455009556 490696580 535305360 568761945 588835896 606679408 736044870 758349260 834184186 910019112 981393160 1137523890 1177671792 1251276279 1472089740 1516698520 1668368372 1820038224 1962786320 2085460465 2275047780 2502552558 2944179480 3033397040 3336736744 4170920930 4550095560 5005105116 5888358960 6256381395 6673473488 8341841860 9100191120 10010210232 12512762790 16683683720 20020420464 25025525580 33367367440 50051051160 100102102320