Search a number
-
+
103021000 = 2353711451
BaseRepresentation
bin1100010001111…
…11100111001000
321011212000020121
412020333213020
5202333133000
614120033024
72360443525
oct610774710
9234760217
10103021000
1153175225
122a602774
1318460894
14d97a14c
15909eb1a
hex623f9c8

103021000 has 64 divisors (see below), whose sum is σ = 244632960. Its totient is φ = 40600000.

The previous prime is 103020997. The next prime is 103021001. The reversal of 103021000 is 120301.

It is a super-2 number, since 2×1030210002 = 21226652882000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103021001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70275 + ... + 71725.

It is an arithmetic number, because the mean of its divisors is an integer number (3822390).

Almost surely, 2103021000 is an apocalyptic number.

103021000 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 103021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122316480).

103021000 is an abundant number, since it is smaller than the sum of its proper divisors (141611960).

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

103021000 is a wasteful number, since it uses less digits than its factorization.

103021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 103021000 is about 10149.9261081054. The cubic root of 103021000 is about 468.7866697239.

Adding to 103021000 its reverse (120301), we get a palindrome (103141301).

The spelling of 103021000 in words is "one hundred three million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 500 568 710 1000 1420 1451 1775 2840 2902 3550 5804 7100 7255 8875 11608 14200 14510 17750 29020 35500 36275 58040 71000 72550 103021 145100 181375 206042 290200 362750 412084 515105 725500 824168 1030210 1451000 2060420 2575525 4120840 5151050 10302100 12877625 20604200 25755250 51510500 103021000