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102221212340 = 225137348711059
BaseRepresentation
bin101111100110011011…
…0111110101010110100
3100202211222020121202102
41133030312332222310
53133322112243330
6114543151201232
710246064653142
oct1371466765264
9322758217672
10102221212340
113a396233885
1217989816218
139840a5a280
144d3a060592
1529d4246945
hex17ccdbeab4

102221212340 has 96 divisors (see below), whose sum is σ = 234846447360. Its totient is φ = 37146387456.

The previous prime is 102221212337. The next prime is 102221212343. The reversal of 102221212340 is 43212122201.

It is an interprime number because it is at equal distance from previous prime (102221212337) and next prime (102221212343).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221212343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9237731 + ... + 9248789.

It is an arithmetic number, because the mean of its divisors is an integer number (2446317160).

Almost surely, 2102221212340 is an apocalyptic number.

102221212340 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 102221212340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117423223680).

102221212340 is an abundant number, since it is smaller than the sum of its proper divisors (132625235020).

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

102221212340 is a wasteful number, since it uses less digits than its factorization.

102221212340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11641 (or 11639 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 102221212340 its reverse (43212122201), we get a palindrome (145433334541).

The spelling of 102221212340 in words is "one hundred two billion, two hundred twenty-one million, two hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 487 730 949 974 1460 1898 1948 2435 3796 4745 4870 6331 9490 9740 11059 12662 18980 22118 25324 31655 35551 44236 55295 63310 71102 110590 126620 142204 143767 177755 221180 287534 355510 462163 575068 711020 718835 807307 924326 1437670 1614614 1848652 2310815 2875340 3229228 4036535 4621630 5385733 8073070 9243260 10494991 10771466 16146140 20989982 21542932 26928665 41979964 52474955 53857330 70014529 104949910 107714660 140029058 209899820 280058116 350072645 393158509 700145290 786317018 1400290580 1572634036 1965792545 3931585090 5111060617 7863170180 10222121234 20444242468 25555303085 51110606170 102221212340