Search a number
-
+
210202123300000 = 255513161693941
BaseRepresentation
bin101111110010110101111110…
…111000111110110010100000
31000120021010102101111210220221
4233302311332320332302200
5210022422422031100000
62023021304454212424
762163413366455126
oct5762657670766240
91016233371453827
10210202123300000
1160a82246710257
121b6aa6b5954114
139039c8a5c18b0
1439c9ba0c27916
151947c8da7261a
hexbf2d7ee3eca0

210202123300000 has 144 divisors (see below), whose sum is σ = 557050506032664. Its totient is φ = 77613091200000.

The previous prime is 210202123299953. The next prime is 210202123300093. The reversal of 210202123300000 is 3321202012.

It can be written as a sum of positive squares in 12 ways, for example, as 93531103637904 + 116671019662096 = 9671148^2 + 10801436^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79546971 + ... + 82146970.

Almost surely, 2210202123300000 is an apocalyptic number.

210202123300000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210202123300000 is an abundant number, since it is smaller than the sum of its proper divisors (346848382732664).

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

210202123300000 is an equidigital number, since it uses as much as digits as its factorization.

210202123300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161693989 (or 161693961 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 210202123300000 its reverse (3321202012), we get a palindrome (210205444502012).

The spelling of 210202123300000 in words is "two hundred ten trillion, two hundred two billion, one hundred twenty-three million, three hundred thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3125 3250 4000 5000 5200 6250 6500 8125 10000 10400 12500 13000 16250 20000 25000 26000 32500 40625 50000 52000 65000 81250 100000 130000 162500 260000 325000 650000 1300000 161693941 323387882 646775764 808469705 1293551528 1616939410 2102021233 2587103056 3233878820 4042348525 4204042466 5174206112 6467757640 8084697050 8408084932 10510106165 12935515280 16169394100 16816169864 20211742625 21020212330 25871030560 32338788200 33632339728 40423485250 42040424660 52550530825 64677576400 67264679456 80846970500 84080849320 101058713125 105101061650 129355152800 161693941000 168161698640 202117426250 210202123300 262752654125 323387882000 336323397280 404234852500 420404246600 505293565625 525505308250 646775764000 808469705000 840808493200 1010587131250 1051010616500 1313763270625 1616939410000 1681616986400 2021174262500 2102021233000 2627526541250 3233878820000 4042348525000 4204042466000 5255053082500 6568816353125 8084697050000 8408084932000 10510106165000 13137632706250 16169394100000 21020212330000 26275265412500 42040424660000 52550530825000 105101061650000 210202123300000