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102022010200 = 23521146373641
BaseRepresentation
bin101111100000011111…
…1000101010101011000
3100202100002102002210101
41133000333011111120
53132420113311300
6114511313425144
710241125530655
oct1370077052530
9322302362711
10102022010200
113a2a3846310
1217932b6b1b4
13980b6c2196
144d1b808c2c
1529c19e8b6a
hex17c0fc5558

102022010200 has 48 divisors (see below), whose sum is σ = 258764922360. Its totient is φ = 37098912000.

The previous prime is 102022010183. The next prime is 102022010203. The reversal of 102022010200 is 2010220201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022010203) by changing a digit.

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, 23184621 + ... + 23189020.

Almost surely, 2102022010200 is an apocalyptic number.

102022010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022010200 is an abundant number, since it is smaller than the sum of its proper divisors (156742912160).

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

102022010200 is a wasteful number, since it uses less digits than its factorization.

102022010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46373668 (or 46373659 counting only the distinct ones).

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

Adding to 102022010200 its reverse (2010220201), we get a palindrome (104032230401).

The spelling of 102022010200 in words is "one hundred two billion, twenty-two million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 46373641 92747282 185494564 231868205 370989128 463736410 510110051 927472820 1020220102 1159341025 1854945640 2040440204 2318682050 2550550255 4080880408 4637364100 5101100510 9274728200 10202201020 12752751275 20404402040 25505502550 51011005100 102022010200