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102122122200 = 23352724314791
BaseRepresentation
bin101111100011011110…
…0111110101111011000
3100202121001210022122020
41133012330332233120
53133121230402300
6114525251254440
710243452500460
oct1370674765730
9322531708566
10102122122200
113a3453039aa
12179605aa420
139826374957
144d2ac28ba0
1529ca6c18a0
hex17c6f3ebd8

102122122200 has 96 divisors (see below), whose sum is σ = 361804104960. Its totient is φ = 23342198400.

The previous prime is 102122122183. The next prime is 102122122259. The reversal of 102122122200 is 2221221201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102122122200.

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, 12153196 + ... + 12161595.

It is an arithmetic number, because the mean of its divisors is an integer number (3768792760).

Almost surely, 2102122122200 is an apocalyptic number.

102122122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122122200 is an abundant number, since it is smaller than the sum of its proper divisors (259681982760).

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

102122122200 is a wasteful number, since it uses less digits than its factorization.

102122122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24314817 (or 24314808 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102122122200 its reverse (2221221201), we get a palindrome (104343343401).

Subtracting from 102122122200 its reverse (2221221201), we obtain a palindrome (99900900999).

The spelling of 102122122200 in words is "one hundred two billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 24314791 48629582 72944373 97259164 121573955 145888746 170203537 194518328 243147910 291777492 340407074 364721865 486295820 510610611 583554984 607869775 680814148 729443730 851017685 972591640 1021221222 1215739550 1361628296 1458887460 1702035370 1823609325 2042442444 2431479100 2553053055 2917774920 3404070740 3647218650 4084884888 4255088425 4862958200 5106106110 6808141480 7294437300 8510176850 10212212220 12765265275 14588874600 17020353700 20424424440 25530530550 34040707400 51061061100 102122122200