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103022121000 = 23353101340007
BaseRepresentation
bin101111111110010011…
…0001101000000101000
3100211220210021222220010
41133330212031000220
53141442130333000
6115154441331520
710304661402621
oct1377446150050
9324823258803
10103022121000
113a767335367
1217b71a96ba0
13993a96a916
144db4584a48
152a2e6ecd50
hex17fc98d028

103022121000 has 128 divisors (see below), whose sum is σ = 324612437760. Its totient is φ = 27200480000.

The previous prime is 103022120983. The next prime is 103022121031. The reversal of 103022121000 is 121220301.

It is a super-2 number, since 2×1030221210002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132997 + ... + 473003.

It is an arithmetic number, because the mean of its divisors is an integer number (2536034670).

Almost surely, 2103022121000 is an apocalyptic number.

103022121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103022121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162306218880).

103022121000 is an abundant number, since it is smaller than the sum of its proper divisors (221590316760).

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

103022121000 is a wasteful number, since it uses less digits than its factorization.

103022121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340132 (or 340118 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 103022121000 its reverse (121220301), we get a palindrome (103143341301).

The spelling of 103022121000 in words is "one hundred three billion, twenty-two million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 125 150 200 202 250 300 303 375 404 500 505 600 606 750 808 1000 1010 1212 1500 1515 2020 2424 2525 3000 3030 4040 5050 6060 7575 10100 12120 12625 15150 20200 25250 30300 37875 50500 60600 75750 101000 151500 303000 340007 680014 1020021 1360028 1700035 2040042 2720056 3400070 4080084 5100105 6800140 8160168 8500175 10200210 13600280 17000350 20400420 25500525 34000700 34340707 40800840 42500875 51001050 68001400 68681414 85001750 102002100 103022121 127502625 137362828 170003500 171703535 204004200 206044242 255005250 274725656 340007000 343407070 412088484 510010500 515110605 686814140 824176968 858517675 1020021000 1030221210 1373628280 1717035350 2060442420 2575553025 3434070700 4120884840 4292588375 5151106050 6868141400 8585176750 10302212100 12877765125 17170353500 20604424200 25755530250 34340707000 51511060500 103022121000