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101066016330 = 23351632296433
BaseRepresentation
bin101111000100000000…
…0010000011001001010
3100122212110112120202000
41132020000100121022
53123440400010310
6114232403251430
710205336651556
oct1361000203112
9318773476660
10101066016330
1139953149a34
1217706979b76
1396b8622136
144c6a874866
152967b0b4c0
hex178801064a

101066016330 has 64 divisors (see below), whose sum is σ = 271162926720. Its totient is φ = 26785582848.

The previous prime is 101066016269. The next prime is 101066016341. The reversal of 101066016330 is 33610660101.

It is a happy number.

101066016330 is a `hidden beast` number, since 10 + 10 + 6 + 6 + 0 + 1 + 633 + 0 = 666.

101066016330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101066016294 and 101066016303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1104207 + ... + 1192226.

It is an arithmetic number, because the mean of its divisors is an integer number (4236920730).

Almost surely, 2101066016330 is an apocalyptic number.

101066016330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101066016330 is an abundant number, since it is smaller than the sum of its proper divisors (170096910390).

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

101066016330 is a wasteful number, since it uses less digits than its factorization.

101066016330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296612 (or 2296606 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 101066016330 its reverse (33610660101), we get a palindrome (134676676431).

The spelling of 101066016330 in words is "one hundred one billion, sixty-six million, sixteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 163 270 326 489 815 978 1467 1630 2445 2934 4401 4890 7335 8802 14670 22005 44010 2296433 4592866 6889299 11482165 13778598 20667897 22964330 34446495 41335794 62003691 68892990 103339485 124007382 206678970 310018455 374318579 620036910 748637158 1122955737 1871592895 2245911474 3368867211 3743185790 5614778685 6737734422 10106601633 11229557370 16844336055 20213203266 33688672110 50533008165 101066016330