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210020100002200 = 235219211532522867
BaseRepresentation
bin101111110000001100011101…
…011101001101000110011000
31000112121201120212120012212201
4233300030131131031012120
5210011432131100032300
62022401522455215544
762144310602120455
oct5760143535150630
91015551525505781
10210020100002200
1160a1202a269534
121b67b3766775b4
139025a6c736817
1439c105442a82c
15194318890366a
hexbf031d74d198

210020100002200 has 144 divisors (see below), whose sum is σ = 515796351239880. Its totient is φ = 79517507051520.

The previous prime is 210020100002179. The next prime is 210020100002213. The reversal of 210020100002200 is 2200001020012.

210020100002200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81985167 + ... + 84508033.

Almost surely, 2210020100002200 is an apocalyptic number.

210020100002200 is a gapful number since it is divisible by the number (20) 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 210020100002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257898175619940).

210020100002200 is an abundant number, since it is smaller than the sum of its proper divisors (305776251237680).

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

210020100002200 is a wasteful number, since it uses less digits than its factorization.

210020100002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524074 (or 2524046 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 210020100002200 its reverse (2200001020012), we get a palindrome (212220101022212).

The spelling of 210020100002200 in words is "two hundred ten trillion, twenty billion, one hundred million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 361 380 475 722 760 950 1153 1444 1805 1900 2306 2888 3610 3800 4612 5765 7220 9025 9224 11530 14440 18050 21907 23060 28825 36100 43814 46120 57650 72200 87628 109535 115300 175256 219070 230600 416233 438140 547675 832466 876280 1095350 1664932 2081165 2190700 2522867 3329864 4162330 4381400 5045734 8324660 10091468 10405825 12614335 16649320 20182936 20811650 25228670 41623300 47934473 50457340 63071675 83246600 95868946 100914680 126143350 191737892 239672365 252286700 383475784 479344730 504573400 910754987 958689460 1198361825 1821509974 1917378920 2396723650 2908865651 3643019948 4553774935 4793447300 5817731302 7286039896 9107549870 9586894600 11635462604 14544328255 18215099740 22768874675 23270925208 29088656510 36430199480 45537749350 55268447369 58177313020 72721641275 91075498700 110536894738 116354626040 145443282550 182150997400 221073789476 276342236845 290886565100 442147578952 552684473690 581773130200 1050100500011 1105368947380 1381711184225 2100201000022 2210737894760 2763422368450 4200402000044 5250502500055 5526844736900 8400804000088 10501005000110 11053689473800 21002010000220 26252512500275 42004020000440 52505025000550 105010050001100 210020100002200