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103056000100 = 22523137898483
BaseRepresentation
bin101111111111010011…
…1011100010001100100
3100212000011001020021121
41133332213130101210
53142024314000400
6115202051423324
710305552355534
oct1377647342144
9325004036247
10103056000100
113a784475219
1217b812b4b44
1399449a0421
144db8c834c4
152a3269121a
hex17fe9dc464

103056000100 has 72 divisors (see below), whose sum is σ = 237084770048. Its totient is φ = 38814422400.

The previous prime is 103056000097. The next prime is 103056000107. The reversal of 103056000100 is 1000650301.

It is a super-3 number, since 3×1030560001003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (103056000107) 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, 334542 + ... + 563941.

Almost surely, 2103056000100 is an apocalyptic number.

103056000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103056000100 is an abundant number, since it is smaller than the sum of its proper divisors (134028769948).

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

103056000100 is a wasteful number, since it uses less digits than its factorization.

103056000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898565 (or 898558 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

Adding to 103056000100 its reverse (1000650301), we get a palindrome (104056650401).

The spelling of 103056000100 in words is "one hundred three billion, fifty-six million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 31 37 50 62 74 100 124 148 155 185 310 370 620 740 775 925 1147 1550 1850 2294 3100 3700 4588 5735 11470 22940 28675 57350 114700 898483 1796966 3593932 4492415 8984830 17969660 22462075 27852973 33243871 44924150 55705946 66487742 89848300 111411892 132975484 139264865 166219355 278529730 332438710 557059460 664877420 696324325 831096775 1030560001 1392648650 1662193550 2061120002 2785297300 3324387100 4122240004 5152800005 10305600010 20611200020 25764000025 51528000050 103056000100