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10311177690 = 235511438971
BaseRepresentation
bin10011001101001100…
…00001010111011010
3222121121022002200000
421212212001113122
5132104130141230
64423100153430
7513343364352
oct114646012732
928547262600
1010311177690
114411433460
121bb9238876
13c842ccb98
146db605b62
15405378b60
hex2669815da

10311177690 has 192 divisors, whose sum is σ = 31038239232. Its totient is φ = 2441275200.

The previous prime is 10311177683. The next prime is 10311177691. The reversal of 10311177690 is 9677111301.

It is a super-2 number, since 2×103111776902 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10311177691) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1144905 + ... + 1153875.

It is an arithmetic number, because the mean of its divisors is an integer number (161657496).

Almost surely, 210311177690 is an apocalyptic number.

10311177690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10311177690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15519119616).

10311177690 is an abundant number, since it is smaller than the sum of its proper divisors (20727061542).

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

10311177690 is a wasteful number, since it uses less digits than its factorization.

10311177690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9047 (or 9035 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

Adding to 10311177690 its reverse (9677111301), we get a palindrome (19988288991).

The spelling of 10311177690 in words is "ten billion, three hundred eleven million, one hundred seventy-seven thousand, six hundred ninety".