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122101122002010 = 235231091162198119
BaseRepresentation
bin11011110000110011100010…
…000000001110110001011010
3121000022202100010111211120020
4123300303202000032301122
5112001001044213031020
61111404251525211310
734501341425421504
oct3360634200166132
9530282303454506
10122101122002010
11359a5882222888
1211840022860b36
135319117a85b98
142221a239a8d74
15e1b1e50ecc40
hex6f0ce200ec5a

122101122002010 has 64 divisors (see below), whose sum is σ = 306063959685120. Its totient is φ = 31116086957120.

The previous prime is 122101122001939. The next prime is 122101122002017. The reversal of 122101122002010 is 10200221101221.

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

It is not an unprimeable number, because it can be changed into a prime (122101122002017) 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, 80346270 + ... + 81851849.

It is an arithmetic number, because the mean of its divisors is an integer number (4782249370080).

Almost surely, 2122101122002010 is an apocalyptic number.

122101122002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122101122002010 is an abundant number, since it is smaller than the sum of its proper divisors (183962837683110).

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

122101122002010 is a wasteful number, since it uses less digits than its factorization.

122101122002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162199243.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122101122002010 its reverse (10200221101221), we get a palindrome (132301343103231).

The spelling of 122101122002010 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twenty-two million, two thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 1091 2182 3273 5455 6546 10910 16365 25093 32730 50186 75279 125465 150558 250930 376395 752790 162198119 324396238 486594357 810990595 973188714 1621981190 2432971785 3730556737 4865943570 7461113474 11191670211 18652783685 22383340422 37305567370 55958351055 111916702110 176958147829 353916295658 530874443487 884790739145 1061748886974 1769581478290 2654372217435 4070037400067 5308744434870 8140074800134 12210112200201 20350187000335 24420224400402 40700374000670 61050561001005 122101122002010