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1010220011200 = 26522921771983
BaseRepresentation
bin11101011001101011100…
…11100000111011000000
310120120112222011210020101
432230311303200323000
5113022412310324300
62052031052452144
7132662123262031
oct16546563407300
93516488153211
101010220011200
1135a482950644
1214395477a054
137435672884a
1436c758baa88
151b428ad2b6a
hexeb35ce0ec0

1010220011200 has 84 divisors (see below), whose sum is σ = 2571489030240. Its totient is φ = 390153917440.

The previous prime is 1010220011191. The next prime is 1010220011221. The reversal of 1010220011200 is 21100220101.

1010220011200 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10839592 + ... + 10932391.

Almost surely, 21010220011200 is an apocalyptic number.

1010220011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010220011200 is an abundant number, since it is smaller than the sum of its proper divisors (1561269019040).

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

1010220011200 is a wasteful number, since it uses less digits than its factorization.

1010220011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21772034 (or 21772019 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010220011200 its reverse (21100220101), we get a palindrome (1031320231301).

The spelling of 1010220011200 in words is "one trillion, ten billion, two hundred twenty million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 145 160 200 232 290 320 400 464 580 725 800 928 1160 1450 1600 1856 2320 2900 4640 5800 9280 11600 23200 46400 21771983 43543966 87087932 108859915 174175864 217719830 348351728 435439660 544299575 631387507 696703456 870879320 1088599150 1262775014 1393406912 1741758640 2177198300 2525550028 3156937535 3483517280 4354396600 5051100056 6313875070 6967034560 8708793200 10102200112 12627750140 15784687675 17417586400 20204400224 25255500280 31569375350 34835172800 40408800448 50511000560 63138750700 101022001120 126277501400 202044002240 252555002800 505110005600 1010220011200