Search a number
-
+
202200101110200 = 23352595711867263
BaseRepresentation
bin101101111110011001100001…
…001100110100000110111000
3222111221010210201000112011010
4231332121201030310012320
5203000321301341011300
61554013235531433520
760406322000224524
oct5576314114640670
9874833721015133
10202200101110200
1159477643804986
121a8178988b58a0
1388a9506a8432b
1437d0773b94d84
151859a4e314a50
hexb7e6613341b8

202200101110200 has 96 divisors (see below), whose sum is σ = 637444386662400. Its totient is φ = 53006128191360.

The previous prime is 202200101110187. The next prime is 202200101110213. The reversal of 202200101110200 is 2011101002202.

202200101110200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202200101110187) and next prime (202200101110213).

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

It is a congruent 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, 2855898232 + ... + 2855969031.

It is an arithmetic number, because the mean of its divisors is an integer number (6640045694400).

Almost surely, 2202200101110200 is an apocalyptic number.

202200101110200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202200101110200 is an abundant number, since it is smaller than the sum of its proper divisors (435244285552200).

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

202200101110200 is a wasteful number, since it uses less digits than its factorization.

202200101110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5711867341 (or 5711867332 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202200101110200 its reverse (2011101002202), we get a palindrome (204211202112402).

The spelling of 202200101110200 in words is "two hundred two trillion, two hundred billion, one hundred one million, one hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 75 100 118 120 150 177 200 236 295 300 354 472 590 600 708 885 1180 1416 1475 1770 2360 2950 3540 4425 5900 7080 8850 11800 17700 35400 5711867263 11423734526 17135601789 22847469052 28559336315 34271203578 45694938104 57118672630 68542407156 85678008945 114237345260 137084814312 142796681575 171356017890 228474690520 285593363150 337000168517 342712035780 428390044725 571186726300 674000337034 685424071560 856780089450 1011000505551 1142373452600 1348000674068 1685000842585 1713560178900 2022001011102 2696001348136 3370001685170 3427120357800 4044002022204 5055002527755 6740003370340 8088004044408 8425004212925 10110005055510 13480006740680 16850008425850 20220010111020 25275012638775 33700016851700 40440020222040 50550025277550 67400033703400 101100050555100 202200101110200