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1101010010100 = 223527111337197503
BaseRepresentation
bin10000000001011001010…
…011110111111111110100
310220020220021120121010020
4100001121103313333310
5121014332030310400
62201444053325140
7142355024446260
oct20013123677764
93806807517106
101101010010100
11394a324a1590
121594720367b0
137ca9510b7a0
143b40969d0a0
151d98e4ad2a0
hex100594f7ff4

1101010010100 has 1152 divisors, whose sum is σ = 4423828856832. Its totient is φ = 204025651200.

The previous prime is 1101010010099. The next prime is 1101010010101. The reversal of 1101010010100 is 10100101011.

It is an interprime number because it is at equal distance from previous prime (1101010010099) and next prime (1101010010101).

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 not an unprimeable number, because it can be changed into a prime (1101010010101) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2188886449 + ... + 2188886951.

It is an arithmetic number, because the mean of its divisors is an integer number (3840129216).

Almost surely, 21101010010100 is an apocalyptic number.

1101010010100 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 1101010010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211914428416).

1101010010100 is an abundant number, since it is smaller than the sum of its proper divisors (3322818846732).

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

1101010010100 is a wasteful number, since it uses less digits than its factorization.

1101010010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 778 counting only the distinct ones).

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

Adding to 1101010010100 its reverse (10100101011), we get a palindrome (1111110111111).

It can be divided in two parts, 1 and 101010010100, that added together give a palindrome (101010010101).

The spelling of 1101010010100 in words is "one trillion, one hundred one billion, ten million, ten thousand, one hundred".