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56106110100 = 22352269695243
BaseRepresentation
bin110100010000001011…
…110100110010010100
312100211010112200222210
4310100023310302110
51404401131010400
641435204353420
74024235032005
oct642013646224
9170733480883
1056106110100
1121881488a37
12aa599a5870
1353a1b0b421
142a036811ac
1516d598c950
hexd102f4c94

56106110100 has 72 divisors (see below), whose sum is σ = 162937383840. Its totient is φ = 14905988480.

The previous prime is 56106110063. The next prime is 56106110101. The reversal of 56106110100 is 101160165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56106110101) 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, 266922 + ... + 428321.

It is an arithmetic number, because the mean of its divisors is an integer number (2263019220).

Almost surely, 256106110100 is an apocalyptic number.

56106110100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56106110100 is an abundant number, since it is smaller than the sum of its proper divisors (106831273740).

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

56106110100 is a wasteful number, since it uses less digits than its factorization.

56106110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695529 (or 695522 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 56106110100 its reverse (101160165), we get a palindrome (56207270265).

The spelling of 56106110100 in words is "fifty-six billion, one hundred six million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 269 300 538 807 1076 1345 1614 2690 3228 4035 5380 6725 8070 13450 16140 20175 26900 40350 80700 695243 1390486 2085729 2780972 3476215 4171458 6952430 8342916 10428645 13904860 17381075 20857290 34762150 41714580 52143225 69524300 104286450 187020367 208572900 374040734 561061101 748081468 935101835 1122122202 1870203670 2244244404 2805305505 3740407340 4675509175 5610611010 9351018350 11221222020 14026527525 18702036700 28053055050 56106110100