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103132213012200 = 23352237473348769
BaseRepresentation
bin10111011100110001010110…
…111010111110011011101000
3111112011100021020200201101110
4113130301112322332123220
5102004204233012342300
61003202141245550320
730503025244356321
oct2734612672763350
9445140236621343
10103132213012200
112a952142659889
12b6978695753a0
134571431186938
141b678a907b448
15bdca8b2b4550
hex5dcc56ebe6e8

103132213012200 has 96 divisors (see below), whose sum is σ = 333610289092800. Its totient is φ = 26306187663360.

The previous prime is 103132213012141. The next prime is 103132213012201. The reversal of 103132213012200 is 2210312231301.

It is not an unprimeable number, because it can be changed into a prime (103132213012201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3736660585 + ... + 3736688184.

It is an arithmetic number, because the mean of its divisors is an integer number (3475107178050).

Almost surely, 2103132213012200 is an apocalyptic number.

103132213012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103132213012200 is an abundant number, since it is smaller than the sum of its proper divisors (230478076080600).

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

103132213012200 is a wasteful number, since it uses less digits than its factorization.

103132213012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7473348811 (or 7473348802 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 103132213012200 its reverse (2210312231301), we get a palindrome (105342525243501).

The spelling of 103132213012200 in words is "one hundred three trillion, one hundred thirty-two billion, two hundred thirteen million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 7473348769 14946697538 22420046307 29893395076 37366743845 44840092614 59786790152 74733487690 89680185228 112100231535 149466975380 171887021687 179360370456 186833719225 224200463070 298933950760 343774043374 373667438450 448400926140 515661065061 560501157675 687548086748 747334876900 859435108435 896801852280 1031322130122 1121002315350 1375096173496 1494669753800 1718870216870 2062644260244 2242004630700 2578305325305 3437740433740 4125288520488 4297175542175 4484009261400 5156610650610 6875480867480 8594351084350 10313221301220 12891526626525 17188702168700 20626442602440 25783053253050 34377404337400 51566106506100 103132213012200