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200102002222100 = 2252111071700101973
BaseRepresentation
bin101101011111110111100000…
…110000101110010000010100
3222020111120020120210211012012
4231133313200300232100110
5202211432400032101400
61545325331335043352
760101615104021316
oct5537674060562024
9866446216724165
10200102002222100
1158838867673560
121a539137810558
1387866cb843214
14375adba95b7b6
1518201a3e79d35
hexb5fde0c2e414

200102002222100 has 72 divisors (see below), whose sum is σ = 478123078351968. Its totient is φ = 72084323612800.

The previous prime is 200102002222079. The next prime is 200102002222121. The reversal of 200102002222100 is 1222200201002.

200102002222100 is digitally balanced in base 2, because in such base 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 (200102002222079) and next prime (200102002222121).

It is a super-2 number, since 2×2001020022221002 (a number of 29 digits) contains 22 as substring.

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, 849933287 + ... + 850168686.

It is an arithmetic number, because the mean of its divisors is an integer number (6640598310444).

Almost surely, 2200102002222100 is an apocalyptic number.

200102002222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200102002222100 is an abundant number, since it is smaller than the sum of its proper divisors (278021076129868).

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

200102002222100 is a wasteful number, since it uses less digits than its factorization.

200102002222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700102105 (or 1700102098 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200102002222100 its reverse (1222200201002), we get a palindrome (201324202423102).

The spelling of 200102002222100 in words is "two hundred trillion, one hundred two billion, two million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 107 110 214 220 275 428 535 550 1070 1100 1177 2140 2354 2675 4708 5350 5885 10700 11770 23540 29425 58850 117700 1700101973 3400203946 6800407892 8500509865 17001019730 18701121703 34002039460 37402243406 42502549325 74804486812 85005098650 93505608515 170010197300 181910911111 187011217030 363821822222 374022434060 467528042575 727643644444 909554555555 935056085150 1819109111110 1870112170300 2001020022221 3638218222220 4002040044442 4547772777775 8004080088884 9095545555550 10005100111105 18191091111100 20010200222210 40020400444420 50025500555525 100051001111050 200102002222100