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11020010100 = 223521147227313
BaseRepresentation
bin10100100001101100…
…00000001001110100
31001110000002111221020
422100312000021310
5140032110310400
65021301021140
7540041353221
oct122066001164
931400074836
1011020010100
114745565770
1221766b47b0
131068112548
147677dc948
154476e32a0
hex290d80274

11020010100 has 288 divisors, whose sum is σ = 35793709056. Its totient is φ = 2594841600.

The previous prime is 11020010081. The next prime is 11020010117. The reversal of 11020010100 is 101002011.

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 95 ways as a sum of consecutive naturals, for example, 35207544 + ... + 35207856.

It is an arithmetic number, because the mean of its divisors is an integer number (124283712).

Almost surely, 211020010100 is an apocalyptic number.

11020010100 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 11020010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17896854528).

11020010100 is an abundant number, since it is smaller than the sum of its proper divisors (24773698956).

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

11020010100 is a wasteful number, since it uses less digits than its factorization.

11020010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11020010100 its reverse (101002011), we get a palindrome (11121012111).

The spelling of 11020010100 in words is "eleven billion, twenty million, ten thousand, one hundred".