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102012222200 = 23527491148403
BaseRepresentation
bin101111100000001100…
…1101111101011111000
3100202022101222211011212
41133000121233223320
53132410112102300
6114510323542252
710240646403350
oct1370031575370
9322271884155
10102012222200
113a299270459
121792b82a988
139809675c75
144d1a3bbb60
1529c0c13935
hex17c066faf8

102012222200 has 96 divisors (see below), whose sum is σ = 271614936960. Its totient is φ = 34904150400.

The previous prime is 102012222199. The next prime is 102012222203. The reversal of 102012222200 is 2222210201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012222203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613199 + ... + 761601.

It is an arithmetic number, because the mean of its divisors is an integer number (2829322260).

Almost surely, 2102012222200 is an apocalyptic number.

102012222200 is a gapful number since it is divisible by the number (10) 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 102012222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135807468480).

102012222200 is an abundant number, since it is smaller than the sum of its proper divisors (169602714760).

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

102012222200 is a wasteful number, since it uses less digits than its factorization.

102012222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148917 (or 148908 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102012222200 its reverse (2222210201), we get a palindrome (104234432401).

The spelling of 102012222200 in words is "one hundred two billion, twelve million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 491 700 982 1400 1964 2455 3437 3928 4910 6874 9820 12275 13748 17185 19640 24550 27496 34370 49100 68740 85925 98200 137480 148403 171850 296806 343700 593612 687400 742015 1038821 1187224 1484030 2077642 2968060 3710075 4155284 5194105 5936120 7420150 8310568 10388210 14840300 20776420 25970525 29680600 41552840 51941050 72865873 103882100 145731746 207764200 291463492 364329365 510061111 582926984 728658730 1020122222 1457317460 1821646825 2040244444 2550305555 2914634920 3643293650 4080488888 5100611110 7286587300 10201222220 12751527775 14573174600 20402444440 25503055550 51006111100 102012222200