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1011020101100 = 2252231951225307
BaseRepresentation
bin11101011011001010111…
…11100111010111101100
310120122121201200120020122
432231211133213113230
5113031032121213400
62052242313304112
7133021010031452
oct16554537472754
93518551616218
101011020101100
1135a853542a69
12143b38705038
1374453410619
1436d0dc6a9d2
151b473e76685
hexeb657e75ec

1011020101100 has 72 divisors (see below), whose sum is σ = 2290484732928. Its totient is φ = 386625096000.

The previous prime is 1011020101099. The next prime is 1011020101109. The reversal of 1011020101100 is 11010201101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1011020101109) 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, 4374647 + ... + 4599953.

Almost surely, 21011020101100 is an apocalyptic number.

1011020101100 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 1011020101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145242366464).

1011020101100 is an abundant number, since it is smaller than the sum of its proper divisors (1279464631828).

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

1011020101100 is a wasteful number, since it uses less digits than its factorization.

1011020101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227295 (or 227288 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1011020101100 its reverse (11010201101), we get a palindrome (1022030302201).

The spelling of 1011020101100 in words is "one trillion, eleven billion, twenty million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 1951 2300 3902 7804 9755 19510 39020 44873 48775 89746 97550 179492 195100 224365 225307 448730 450614 897460 901228 1121825 1126535 2243650 2253070 4487300 4506140 5182061 5632675 10364122 11265350 20728244 22530700 25910305 51820610 103641220 129551525 259103050 439573957 518206100 879147914 1758295828 2197869785 4395739570 8791479140 10110201011 10989348925 20220402022 21978697850 40440804044 43957395700 50551005055 101102010110 202204020220 252755025275 505510050550 1011020101100