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102211021010 = 25731462110193
BaseRepresentation
bin101111100110001000…
…0000110100011010010
3100202211021001211212202
41133030100012203102
53133312010133020
6114542144523202
710245612225620
oct1371420064322
9322737054782
10102211021010
113a39050299a
1217986320502
13983b8cc5b7
144d3896a510
1529d33d1e75
hex17cc4068d2

102211021010 has 64 divisors (see below), whose sum is σ = 217113606144. Its totient is φ = 33902668800.

The previous prime is 102211020929. The next prime is 102211021019. The reversal of 102211021010 is 10120112201.

It is a super-2 number, since 2×1022110210102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102211020982 and 102211021000.

It is not an unprimeable number, because it can be changed into a prime (102211021019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10022474 + ... + 10032666.

It is an arithmetic number, because the mean of its divisors is an integer number (3392400096).

Almost surely, 2102211021010 is an apocalyptic number.

102211021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102211021010 is an abundant number, since it is smaller than the sum of its proper divisors (114902585134).

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

102211021010 is a wasteful number, since it uses less digits than its factorization.

102211021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14859.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102211021010 its reverse (10120112201), we get a palindrome (112331133211).

The spelling of 102211021010 in words is "one hundred two billion, two hundred eleven million, twenty-one thousand, ten".

Divisors: 1 2 5 7 10 14 31 35 62 70 155 217 310 434 1085 2170 4621 9242 10193 20386 23105 32347 46210 50965 64694 71351 101930 142702 143251 161735 286502 315983 323470 356755 631966 713510 716255 1002757 1432510 1579915 2005514 2211881 3159830 4423762 5013785 10027570 11059405 22118810 47101853 94203706 235509265 329712971 471018530 659425942 1460157443 1648564855 2920314886 3297129710 7300787215 10221102101 14601574430 20442204202 51105510505 102211021010