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102122343400 = 23527116631321
BaseRepresentation
bin101111100011011110…
…1110100101111101000
3100202121002012120001211
41133012331310233220
53133121304442100
6114525300122504
710243454411410
oct1370675645750
9322532176054
10102122343400
113a345445110
1217960696434
13982642153c
144d2ac85640
1529ca7171ba
hex17c6f74be8

102122343400 has 96 divisors (see below), whose sum is σ = 296022214080. Its totient is φ = 31830336000.

The previous prime is 102122343391. The next prime is 102122343467. The reversal of 102122343400 is 4343221201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3300261 + ... + 3331060.

It is an arithmetic number, because the mean of its divisors is an integer number (3083564730).

Almost surely, 2102122343400 is an apocalyptic number.

102122343400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122343400 is an abundant number, since it is smaller than the sum of its proper divisors (193899870680).

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

102122343400 is a wasteful number, since it uses less digits than its factorization.

102122343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6631355 (or 6631346 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 102122343400 its reverse (4343221201), we get a palindrome (106465564601).

The spelling of 102122343400 in words is "one hundred two billion, one hundred twenty-two million, three hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 6631321 13262642 26525284 33156605 46419247 53050568 66313210 72944531 92838494 132626420 145889062 165783025 185676988 232096235 265252840 291778124 331566050 364722655 371353976 464192470 510611717 583556248 663132100 729445310 928384940 1021223434 1160481175 1326264200 1458890620 1823613275 1856769880 2042446868 2320962350 2553058585 2917781240 3647226550 4084893736 4641924700 5106117170 7294453100 9283849400 10212234340 12765292925 14588906200 20424468680 25530585850 51061171700 102122343400