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122102102550 = 235219160926627
BaseRepresentation
bin111000110110111011…
…0100011101000010110
3102200011111122111002110
41301231312203220112
54000031114240200
6132032023451450
711551542514161
oct1615566435026
9380144574073
10122102102550
11478684a995a
121b7b78b6b86
13b68b86022c
145ca45bcad8
1532997d5b50
hex1c6dda3a16

122102102550 has 96 divisors (see below), whose sum is σ = 318960835200. Its totient is φ = 30826517760.

The previous prime is 122102102539. The next prime is 122102102561. The reversal of 122102102550 is 55201201221.

It is an interprime number because it is at equal distance from previous prime (122102102539) and next prime (122102102561).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4572337 + ... + 4598963.

It is an arithmetic number, because the mean of its divisors is an integer number (3322508700).

Almost surely, 2122102102550 is an apocalyptic number.

122102102550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122102102550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159480417600).

122102102550 is an abundant number, since it is smaller than the sum of its proper divisors (196858732650).

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

122102102550 is a wasteful number, since it uses less digits than its factorization.

122102102550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28270 (or 28265 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 122102102550 its reverse (55201201221), we get a palindrome (177303303771).

The spelling of 122102102550 in words is "one hundred twenty-two billion, one hundred two million, one hundred two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 950 1425 1609 2850 3218 4827 8045 9654 16090 24135 26627 30571 40225 48270 53254 61142 79881 80450 91713 120675 133135 152855 159762 183426 241350 266270 305710 399405 458565 505913 665675 764275 798810 917130 1011826 1331350 1517739 1528550 1997025 2292825 2529565 3035478 3994050 4585650 5059130 7588695 12647825 15177390 25295650 37943475 42842843 75886950 85685686 128528529 214214215 257057058 428428430 642642645 814014017 1071071075 1285285290 1628028034 2142142150 2442042051 3213213225 4070070085 4884084102 6426426450 8140140170 12210210255 20350350425 24420420510 40700700850 61051051275 122102102550