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102210000120 = 2333594638889
BaseRepresentation
bin101111100110000110…
…0001101010011111000
3100202211012010222111000
41133030030031103320
53133311230000440
6114542111005000
710245600444354
oct1371414152370
9322735128430
10102210000120
113a38a975988
1217985b09760
13983b632a17
144d38782464
1529d327e730
hex17cc30d4f8

102210000120 has 64 divisors (see below), whose sum is σ = 340700004000. Its totient is φ = 27255999744.

The previous prime is 102210000119. The next prime is 102210000187. The reversal of 102210000120 is 21000012201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47318365 + ... + 47320524.

Almost surely, 2102210000120 is an apocalyptic number.

102210000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210000120 is an abundant number, since it is smaller than the sum of its proper divisors (238490003880).

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

102210000120 is a wasteful number, since it uses less digits than its factorization.

102210000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94638909 (or 94638899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102210000120 its reverse (21000012201), we get a palindrome (123210012321).

The spelling of 102210000120 in words is "one hundred two billion, two hundred ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 94638889 189277778 283916667 378555556 473194445 567833334 757111112 851750001 946388890 1135666668 1419583335 1703500002 1892777780 2271333336 2555250003 2839166670 3407000004 3785555560 4258750005 5110500006 5678333340 6814000008 8517500010 10221000012 11356666680 12776250015 17035000020 20442000024 25552500030 34070000040 51105000060 102210000120