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1011010110100 = 225283599203353
BaseRepresentation
bin11101011011001001110…
…01100000001010010100
310120122121000212222011121
432231210321200022110
5113031022042010400
62052241315213324
7133020526100254
oct16554471401224
93518530788147
101011010110100
1135a848939641
12143b352a7244
1374451322ba3
1436d0c7c9964
151b47315121a
hexeb64e60294

1011010110100 has 72 divisors (see below), whose sum is σ = 2224042027200. Its totient is φ = 398862746880.

The previous prime is 1011010110059. The next prime is 1011010110101. The reversal of 1011010110100 is 10110101101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011010110101) 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, 4870024 + ... + 5073376.

It is an arithmetic number, because the mean of its divisors is an integer number (30889472600).

Almost surely, 21011010110100 is an apocalyptic number.

1011010110100 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 1011010110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112021013600).

1011010110100 is an abundant number, since it is smaller than the sum of its proper divisors (1213031917100).

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

1011010110100 is a wasteful number, since it uses less digits than its factorization.

1011010110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204049 (or 204042 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1011010110100 its reverse (10110101101), we get a palindrome (1021120211201).

1011010110100 divided by its reverse (10110101101) gives a square (100 = 102).

The spelling of 1011010110100 in words is "one trillion, eleven billion, ten million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 599 830 1198 1660 2075 2396 2995 4150 5990 8300 11980 14975 29950 49717 59900 99434 198868 203353 248585 406706 497170 813412 994340 1016765 1242925 2033530 2485850 4067060 4971700 5083825 10167650 16878299 20335300 33756598 67513196 84391495 121808447 168782990 243616894 337565980 421957475 487233788 609042235 843914950 1218084470 1687829900 2436168940 3045211175 6090422350 10110101101 12180844700 20220202202 40440404404 50550505505 101101011010 202202022020 252752527525 505505055050 1011010110100