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11710216100 = 22521115170501
BaseRepresentation
bin10101110011111101…
…11011011110100100
31010020002211121120102
422321332323132210
5142440303403400
65213554323232
7563122123502
oct127176733644
933202747512
1011710216100
114a6a125750
122329889518
131148102a6b
147d1347672
154880cd9d5
hex2b9fbb7a4

11710216100 has 72 divisors (see below), whose sum is σ = 27905255616. Its totient is φ = 4230000000.

The previous prime is 11710216073. The next prime is 11710216109. The reversal of 11710216100 is 161201711.

It is a happy number.

It is a super-2 number, since 2×117102161002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11710216109) 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, 130850 + ... + 201350.

Almost surely, 211710216100 is an apocalyptic number.

11710216100 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 11710216100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13952627808).

11710216100 is an abundant number, since it is smaller than the sum of its proper divisors (16195039516).

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

11710216100 is a wasteful number, since it uses less digits than its factorization.

11710216100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70677 (or 70670 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 11710216100 its reverse (161201711), we get a palindrome (11871417811).

The spelling of 11710216100 in words is "eleven billion, seven hundred ten million, two hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 151 220 275 302 550 604 755 1100 1510 1661 3020 3322 3775 6644 7550 8305 15100 16610 33220 41525 70501 83050 141002 166100 282004 352505 705010 775511 1410020 1551022 1762525 3102044 3525050 3877555 7050100 7755110 10645651 15510220 19387775 21291302 38775550 42582604 53228255 77551100 106456510 117102161 212913020 234204322 266141275 468408644 532282550 585510805 1064565100 1171021610 2342043220 2927554025 5855108050 11710216100