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1000101132 = 223279351653
BaseRepresentation
bin111011100111000…
…101010100001100
32120200212101211200
4323213011110030
54022011214012
6243123345500
733532501512
oct7347052414
92520771750
101000101132
11473592868
1223ab22290
1312c274224
1496b764b2
155cc013dc
hex3b9c550c

1000101132 has 36 divisors (see below), whose sum is σ = 2560041120. Its totient is φ = 329146272.

The previous prime is 1000101127. The next prime is 1000101133. The reversal of 1000101132 is 2311010001.

1000101132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×10001011323 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1000101133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172983 + ... + 178670.

Almost surely, 21000101132 is an apocalyptic number.

1000101132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000101132 is an abundant number, since it is smaller than the sum of its proper divisors (1559939988).

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

1000101132 is a wasteful number, since it uses less digits than its factorization.

1000101132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351742 (or 351737 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1000101132 is about 31624.3755985790. The cubic root of 1000101132 is about 1000.0337095303.

Adding to 1000101132 its reverse (2311010001), we get a palindrome (3311111133).

The spelling of 1000101132 in words is "one billion, one hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 351653 703306 1054959 1406612 2109918 3164877 4219836 6329754 12659508 27780587 55561174 83341761 111122348 166683522 250025283 333367044 500050566 1000101132