Search a number
-
+
10101010111100 = 22521013109321679
BaseRepresentation
bin1001001011111101001100…
…0111101001101001111100
31022202122110202120120000022
42102333103013221221330
52310443332042023400
633252201234151312
72061526306205156
oct222772307515174
938678422516008
1010101010111100
1132448a5969587
121171787a22538
135836a100542c
1426cc6a3adad6
15127b3cba9b85
hex92fd31e9a7c

10101010111100 has 72 divisors (see below), whose sum is σ = 22143402523200. Its totient is φ = 3999100896000.

The previous prime is 10101010111081. The next prime is 10101010111117. The reversal of 10101010111100 is 111101010101.

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, 31240061 + ... + 31561739.

Almost surely, 210101010111100 is an apocalyptic number.

10101010111100 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 10101010111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11071701261600).

10101010111100 is an abundant number, since it is smaller than the sum of its proper divisors (12042392412100).

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

10101010111100 is a wasteful number, since it uses less digits than its factorization.

10101010111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324903 (or 324896 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10101010111100 its reverse (111101010101), we get a palindrome (10212111121201).

The spelling of 10101010111100 in words is "ten trillion, one hundred one billion, ten million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 3109 5050 6218 10100 12436 15545 31090 62180 77725 155450 310900 314009 321679 628018 643358 1256036 1286716 1570045 1608395 3140090 3216790 6280180 6433580 7850225 8041975 15700450 16083950 31400900 32167900 32489579 64979158 129958316 162447895 324895790 649791580 812239475 1000100011 1624478950 2000200022 3248957900 4000400044 5000500055 10001000110 20002000220 25002500275 50005000550 100010001100 101010101111 202020202222 404040404444 505050505555 1010101011110 2020202022220 2525252527775 5050505055550 10101010111100