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101110120020200 = 23525930612799299
BaseRepresentation
bin10110111111010110001000…
…110010010111100011101000
3111021000000220002222120220102
4112333112020302113203220
5101223042011211121300
6555013203051244532
730203652013465664
oct2677261062274350
9437000802876812
10101110120020200
112a2426198a8125
12b40b99a749748
134455849741845
141ad7a823618a4
15ba518d93a0d5
hex5bf588c978e8

101110120020200 has 96 divisors (see below), whose sum is σ = 239143639140000. Its totient is φ = 39745552723200.

The previous prime is 101110120020191. The next prime is 101110120020209. The reversal of 101110120020200 is 2020021011101.

It is an interprime number because it is at equal distance from previous prime (101110120020191) and next prime (101110120020209).

It is not an unprimeable number, because it can be changed into a prime (101110120020209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34720151 + ... + 37519449.

It is an arithmetic number, because the mean of its divisors is an integer number (2491079574375).

Almost surely, 2101110120020200 is an apocalyptic number.

101110120020200 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 101110120020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119571819570000).

101110120020200 is an abundant number, since it is smaller than the sum of its proper divisors (138033519119800).

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

101110120020200 is a wasteful number, since it uses less digits than its factorization.

101110120020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802435 (or 2802426 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101110120020200 its reverse (2020021011101), we get a palindrome (103130141031301).

Subtracting from 101110120020200 its reverse (2020021011101), we obtain a palindrome (99090099009099).

The spelling of 101110120020200 in words is "one hundred one trillion, one hundred ten billion, one hundred twenty million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 472 590 1180 1475 2360 2950 3061 5900 6122 11800 12244 15305 24488 30610 61220 76525 122440 153050 180599 306100 361198 612200 722396 902995 1444792 1805990 2799299 3611980 4514975 5598598 7223960 9029950 11197196 13996495 18059900 22394392 27992990 36119800 55985980 69982475 111971960 139964950 165158641 279929900 330317282 559859800 660634564 825793205 1321269128 1651586410 3303172820 4128966025 6606345640 8257932050 8568654239 16515864100 17137308478 33031728200 34274616956 42843271195 68549233912 85686542390 171373084780 214216355975 342746169560 428432711950 505550600101 856865423900 1011101200202 1713730847800 2022202400404 2527753000505 4044404800808 5055506001010 10111012002020 12638765002525 20222024004040 25277530005050 50555060010100 101110120020200