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103031221000 = 2353199751593
BaseRepresentation
bin101111111110100100…
…0111010101100001000
3100211221102102022202011
41133331020322230020
53142001443033000
6115155404345304
710305131633341
oct1377510725410
9324842368664
10103031221000
113a771490324
1217b74b45234
13993c805936
144db58730c8
152a303e92ba
hex17fd23ab08

103031221000 has 64 divisors (see below), whose sum is σ = 241218460080. Its totient is φ = 41191052800.

The previous prime is 103031220937. The next prime is 103031221031. The reversal of 103031221000 is 122130301.

It can be written as a sum of positive squares in 8 ways, for example, as 5075992516 + 97955228484 = 71246^2 + 312978^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1971204 + ... + 2022796.

Almost surely, 2103031221000 is an apocalyptic number.

103031221000 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 103031221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120609230040).

103031221000 is an abundant number, since it is smaller than the sum of its proper divisors (138187239080).

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

103031221000 is a wasteful number, since it uses less digits than its factorization.

103031221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53611 (or 53597 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 103031221000 its reverse (122130301), we get a palindrome (103153351301).

The spelling of 103031221000 in words is "one hundred three billion, thirty-one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1997 3994 7988 9985 15976 19970 39940 49925 51593 79880 99850 103186 199700 206372 249625 257965 399400 412744 499250 515930 998500 1031860 1289825 1997000 2063720 2579650 5159300 6449125 10318600 12898250 25796500 51593000 103031221 206062442 412124884 515156105 824249768 1030312210 2060624420 2575780525 4121248840 5151561050 10303122100 12878902625 20606244200 25757805250 51515610500 103031221000