Search a number
-
+
101002200012200 = 23521997727205247
BaseRepresentation
bin10110111101110001101000…
…010000001101010110101000
3111020121201022222110011011002
4112331301220100031112220
5101214310001200342300
6554451434203054132
730163111446531104
oct2675615020152650
9436551288404132
10101002200012200
112a20087986a873
12b3b2aa0511348
13444860b148846
141ad27654da904
15ba24742565d5
hex5bdc6840d5a8

101002200012200 has 96 divisors (see below), whose sum is σ = 247442612659200. Its totient is φ = 38235340938240.

The previous prime is 101002200012089. The next prime is 101002200012209. The reversal of 101002200012200 is 2210002200101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101002200012209) 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, 9890024 + ... + 17315223.

It is an arithmetic number, because the mean of its divisors is an integer number (2577527215200).

Almost surely, 2101002200012200 is an apocalyptic number.

101002200012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002200012200 is an abundant number, since it is smaller than the sum of its proper divisors (146440412647000).

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

101002200012200 is a wasteful number, since it uses less digits than its factorization.

101002200012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27206259 (or 27206250 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101002200012200 its reverse (2210002200101), we get a palindrome (103212202212301).

The spelling of 101002200012200 in words is "one hundred one trillion, two billion, two hundred million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 977 1900 1954 3800 3908 4885 7816 9770 18563 19540 24425 37126 39080 48850 74252 92815 97700 148504 185630 195400 371260 464075 742520 928150 1856300 3712600 27205247 54410494 108820988 136026235 217641976 272052470 516899693 544104940 680131175 1033799386 1088209880 1360262350 2067598772 2584498465 2720524700 4135197544 5168996930 5441049400 10337993860 12922492325 20675987720 25844984650 26579526319 51689969300 53159052638 103379938600 106318105276 132897631595 212636210552 265795263190 505011000061 531590526380 664488157975 1010022000122 1063181052760 1328976315950 2020044000244 2525055000305 2657952631900 4040088000488 5050110000610 5315905263800 10100220001220 12625275001525 20200440002440 25250550003050 50501100006100 101002200012200