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1001010110100 = 223527111323373917
BaseRepresentation
bin11101001000100001101…
…10100001111010010100
310112200210010010100001020
432210100312201322110
5112400032042010400
62043505132401140
7132214651355310
oct16442066417224
93480703110036
101001010110100
11356587124630
121420043161b0
1373519635720
1436640666b40
151b08a2932a0
hexe910da1e94

1001010110100 has 1152 divisors, whose sum is σ = 4168485199872. Its totient is φ = 178644787200.

The previous prime is 1001010110099. The next prime is 1001010110143. The reversal of 1001010110100 is 10110101001.

Adding to 1001010110100 its reverse (10110101001), we get a palindrome (1011120211101).

Subtracting from 1001010110100 its reverse (10110101001), we obtain a palindrome (990900009099).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 255553342 + ... + 255557258.

It is an arithmetic number, because the mean of its divisors is an integer number (3618476736).

Almost surely, 21001010110100 is an apocalyptic number.

1001010110100 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 1001010110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084242599936).

1001010110100 is an abundant number, since it is smaller than the sum of its proper divisors (3167475089772).

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

1001010110100 is a wasteful number, since it uses less digits than its factorization.

1001010110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4025 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

The spelling of 1001010110100 in words is "one trillion, one billion, ten million, one hundred ten thousand, one hundred".