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102111321900 = 223527192559181
BaseRepresentation
bin101111100011001001…
…1110001111100101100
3100202120022110121102010
41133012103301330230
53133110444300100
6114524224001220
710243261625640
oct1370623617454
9322508417363
10102111321900
113a33a1a7535
1217958a60210
139824062a43
144d29616c20
1529c978b750
hex17c64f1f2c

102111321900 has 144 divisors (see below), whose sum is σ = 355419196160. Its totient is φ = 22111315200.

The previous prime is 102111321877. The next prime is 102111321911. The reversal of 102111321900 is 9123111201.

It is a happy number.

It is a super-2 number, since 2×1021113219002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1239691 + ... + 1319490.

Almost surely, 2102111321900 is an apocalyptic number.

102111321900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111321900 is an abundant number, since it is smaller than the sum of its proper divisors (253307874260).

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

102111321900 is a wasteful number, since it uses less digits than its factorization.

102111321900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559224 (or 2559217 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The spelling of 102111321900 in words is "one hundred two billion, one hundred eleven million, three hundred twenty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1050 1140 1330 1425 1596 1900 1995 2100 2660 2850 3325 3990 5700 6650 7980 9975 13300 19950 39900 2559181 5118362 7677543 10236724 12795905 15355086 17914267 25591810 30710172 35828534 38387715 48624439 51183620 53742801 63979525 71657068 76775430 89571335 97248878 107485602 127959050 145873317 153550860 179142670 191938575 194497756 214971204 243122195 255918100 268714005 291746634 340371073 358285340 383877150 447856675 486244390 537428010 583493268 680742146 729366585 767754300 895713350 972488780 1021113219 1074856020 1215610975 1343570025 1361484292 1458733170 1701855365 1791426700 2042226438 2431221950 2687140050 2917466340 3403710730 3646832925 4084452876 4862443900 5105566095 5374280100 6807421460 7293665850 8509276825 10211132190 14587331700 17018553650 20422264380 25527830475 34037107300 51055660950 102111321900