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2210102021200 = 245223323713541
BaseRepresentation
bin100000001010010100010…
…110001000110001010000
321211021122210212101100211
4200022110112020301100
5242202242104134300
64411150140253504
7315450250134643
oct40122426106120
97737583771324
102210102021200
11782331a79037
122b83ba841294
13130547741488
1478d8048da5a
153c7532634ba
hex20294588c50

2210102021200 has 60 divisors (see below), whose sum is σ = 5332559043708. Its totient is φ = 880246604800.

The previous prime is 2210102021107. The next prime is 2210102021203. The reversal of 2210102021200 is 21202010122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 35196761664 + 2174905259536 = 187608^2 + 1474756^2 .

It is a super-2 number, since 2×22101020212002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210102021203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11763571 + ... + 11949970.

Almost surely, 22210102021200 is an apocalyptic number.

2210102021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210102021200 is an abundant number, since it is smaller than the sum of its proper divisors (3122457022508).

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

2210102021200 is a wasteful number, since it uses less digits than its factorization.

2210102021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23713792 (or 23713781 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2210102021200 its reverse (21202010122), we get a palindrome (2231304031322).

The spelling of 2210102021200 in words is "two trillion, two hundred ten billion, one hundred two million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 233 400 466 932 1165 1864 2330 3728 4660 5825 9320 11650 18640 23300 46600 93200 23713541 47427082 94854164 118567705 189708328 237135410 379416656 474270820 592838525 948541640 1185677050 1897083280 2371354100 4742708200 5525255053 9485416400 11050510106 22101020212 27626275265 44202040424 55252550530 88404080848 110505101060 138131376325 221010202120 276262752650 442020404240 552525505300 1105051010600 2210102021200