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102120113222300 = 225253163118208257
BaseRepresentation
bin10111001110000010110001…
…000100101011001010011100
3111101120120212021101021112202
4113032002301010223022130
5101341113442441103200
61001105155442551032
730336635414165015
oct2716026104531234
9441516767337482
10102120113222300
112a5a1995714728
12b55368b368478
1344c9b68187604
141b308d5a7c00c
15bc15a266a1d5
hex5ce0b112b29c

102120113222300 has 72 divisors (see below), whose sum is σ = 227166956228016. Its totient is φ = 39831453941760.

The previous prime is 102120113222263. The next prime is 102120113222377. The reversal of 102120113222300 is 3222311021201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58240229 + ... + 59968028.

It is an arithmetic number, because the mean of its divisors is an integer number (3155096614278).

Almost surely, 2102120113222300 is an apocalyptic number.

102120113222300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120113222300 is an abundant number, since it is smaller than the sum of its proper divisors (125046843005716).

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

102120113222300 is a wasteful number, since it uses less digits than its factorization.

102120113222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118208487 (or 118208480 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 102120113222300 its reverse (3222311021201), we get a palindrome (105342424243501).

The spelling of 102120113222300 in words is "one hundred two trillion, one hundred twenty billion, one hundred thirteen million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 163 212 265 326 530 652 815 1060 1325 1630 2650 3260 4075 5300 8150 8639 16300 17278 34556 43195 86390 172780 215975 431950 863900 118208257 236416514 472833028 591041285 1182082570 2364165140 2955206425 5910412850 6265037621 11820825700 12530075242 19267945891 25060150484 31325188105 38535891782 62650376210 77071783564 96339729455 125300752420 156625940525 192679458910 313251881050 385358917820 481698647275 626503762100 963397294550 1021201132223 1926794589100 2042402264446 4084804528892 5106005661115 10212011322230 20424022644460 25530028305575 51060056611150 102120113222300