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120201022100200 = 235213122372050883
BaseRepresentation
bin11011010101001001111011…
…001110010101001011101000
3120202121002211220022210022211
4123111021323032111023220
5111223333143124201300
61103351330502054504
734214144244636136
oct3325117316251350
9522532756283284
10120201022100200
1135332a70383418
121159391b11a434
13520bba5423362
142197a90bb2756
15dd6a876c44ba
hex6d527b3952e8

120201022100200 has 96 divisors (see below), whose sum is σ = 281726735700960. Its totient is φ = 47692030380800.

The previous prime is 120201022100171. The next prime is 120201022100233. The reversal of 120201022100200 is 2001220102021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57583959 + ... + 59634841.

It is an arithmetic number, because the mean of its divisors is an integer number (2934653496885).

Almost surely, 2120201022100200 is an apocalyptic number.

120201022100200 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 120201022100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140863367850480).

120201022100200 is an abundant number, since it is smaller than the sum of its proper divisors (161525713600760).

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

120201022100200 is a wasteful number, since it uses less digits than its factorization.

120201022100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053267 (or 2053258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120201022100200 its reverse (2001220102021), we get a palindrome (122202242202221).

The spelling of 120201022100200 in words is "one hundred twenty trillion, two hundred one billion, twenty-two million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 131 200 262 524 655 1048 1310 2237 2620 3275 4474 5240 6550 8948 11185 13100 17896 22370 26200 44740 55925 89480 111850 223700 293047 447400 586094 1172188 1465235 2050883 2344376 2930470 4101766 5860940 7326175 8203532 10254415 11721880 14652350 16407064 20508830 29304700 41017660 51272075 58609400 82035320 102544150 205088300 268665673 410176600 537331346 1074662692 1343328365 2149325384 2686656730 4587825271 5373313460 6716641825 9175650542 10746626920 13433283650 18351301084 22939126355 26866567300 36702602168 45878252710 53733134600 91756505420 114695631775 183513010840 229391263550 458782527100 601005110501 917565054200 1202010221002 2404020442004 3005025552505 4808040884008 6010051105010 12020102210020 15025127762525 24040204420040 30050255525050 60100511050100 120201022100200