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10103310200 = 2352413833217
BaseRepresentation
bin10010110100011010…
…00100011101111000
3222002010011100002002
421122031010131320
5131142421411300
64350313000132
7505240501604
oct113215043570
928063140062
1010103310200
114315067545
121b5b6b3048
13c5021c879
146bbb76504
153e1eb85d5
hex25a344778

10103310200 has 96 divisors (see below), whose sum is σ = 24133455360. Its totient is φ = 3931238400.

The previous prime is 10103310167. The next prime is 10103310227. The reversal of 10103310200 is 201330101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3138992 + ... + 3142208.

It is an arithmetic number, because the mean of its divisors is an integer number (251390160).

Almost surely, 210103310200 is an apocalyptic number.

10103310200 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 10103310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12066727680).

10103310200 is an abundant number, since it is smaller than the sum of its proper divisors (14030145160).

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

10103310200 is a wasteful number, since it uses less digits than its factorization.

10103310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10103310200 its reverse (201330101), we get a palindrome (10304640301).

The spelling of 10103310200 in words is "ten billion, one hundred three million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 383 410 766 820 1025 1532 1640 1915 2050 3064 3217 3830 4100 6434 7660 8200 9575 12868 15320 15703 16085 19150 25736 31406 32170 38300 62812 64340 76600 78515 80425 125624 128680 131897 157030 160850 263794 314060 321700 392575 527588 628120 643400 659485 785150 1055176 1232111 1318970 1570300 2464222 2637940 3140600 3297425 4928444 5275880 6160555 6594850 9856888 12321110 13189700 24642220 26379400 30802775 49284440 50516551 61605550 101033102 123211100 202066204 246422200 252582755 404132408 505165510 1010331020 1262913775 2020662040 2525827550 5051655100 10103310200