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10210100001200 = 2452112320477273
BaseRepresentation
bin1001010010010011100101…
…1000100011100110110000
31100011002001102110011022022
42110210321120203212300
52314240241100014300
633414242153131012
72102440540032041
oct224447130434660
940132042404268
1010210100001200
113287096301650
12118a9519b9a68
13590a67aa9068
142742587648c8
1512a8c4e2a285
hex949396239b0

10210100001200 has 60 divisors (see below), whose sum is σ = 26759743923768. Its totient is φ = 3712763635200.

The previous prime is 10210100001181. The next prime is 10210100001221. The reversal of 10210100001200 is 210000101201.

It is a super-3 number, since 3×102101000012003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1160234237 + ... + 1160243036.

Almost surely, 210210100001200 is an apocalyptic number.

10210100001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210100001200 is an abundant number, since it is smaller than the sum of its proper divisors (16549643922568).

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

10210100001200 is a wasteful number, since it uses less digits than its factorization.

10210100001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320477302 (or 2320477291 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10210100001200 its reverse (210000101201), we get a palindrome (10420100102401).

The spelling of 10210100001200 in words is "ten trillion, two hundred ten billion, one hundred million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 2320477273 4640954546 9281909092 11602386365 18563818184 23204772730 25525250003 37127636368 46409545460 51050500006 58011931825 92819090920 102101000012 116023863650 127626250015 185638181840 204202000024 232047727300 255252500030 408404000048 464095454600 510505000060 638131250075 928190909200 1021010000120 1276262500150 2042020000240 2552525000300 5105050000600 10210100001200