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100020031100 = 225211127715963
BaseRepresentation
bin101110100100110101…
…0001000111001111100
3100120011120100000202022
41131021222020321330
53114320111443400
6113540520215312
710140406144133
oct1351152107174
9316146300668
10100020031100
1139466777830
121747460a538
13957ca04072
144bab99691a
152905d94b85
hex1749a88e7c

100020031100 has 72 divisors (see below), whose sum is σ = 238639392768. Its totient is φ = 36084484800.

The previous prime is 100020031043. The next prime is 100020031109. The reversal of 100020031100 is 1130020001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020031109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218282 + ... + 497681.

Almost surely, 2100020031100 is an apocalyptic number.

100020031100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020031100 is an abundant number, since it is smaller than the sum of its proper divisors (138619361668).

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

100020031100 is a wasteful number, since it uses less digits than its factorization.

100020031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716115 (or 716108 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 100020031100 its reverse (1130020001), we get a palindrome (101150051101).

The spelling of 100020031100 in words is "one hundred billion, twenty million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 127 220 254 275 508 550 635 1100 1270 1397 2540 2794 3175 5588 6350 6985 12700 13970 27940 34925 69850 139700 715963 1431926 2863852 3579815 7159630 7875593 14319260 15751186 17899075 31502372 35798150 39377965 71596300 78755930 90927301 157511860 181854602 196889825 363709204 393779650 454636505 787559300 909273010 1000200311 1818546020 2000400622 2273182525 4000801244 4546365050 5001001555 9092730100 10002003110 20004006220 25005007775 50010015550 100020031100