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1156068001 = 1142812
BaseRepresentation
bin100010011101000…
…0011001010100001
32222120100100011101
41010322003022201
54331423134001
6310414314401
740435262434
oct10472031241
92876310141
101156068001
11543630000
122831b8a01
1315568200a
14ad77581b
156b75da01
hex44e832a1

1156068001 has 15 divisors (see below), whose sum is σ = 1276208515. Its totient is φ = 1047230800.

The previous prime is 1156067981. The next prime is 1156068031. The reversal of 1156068001 is 1008606511.

The square root of 1156068001 is 34001.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 781258401 + 374809600 = 27951^2 + 19360^2 .

It is not a de Polignac number, because 1156068001 - 225 = 1122513569 is a prime.

It is a super-2 number, since 2×11560680012 = 2672986445872272002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1156068031) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4113981 + ... + 4114261.

Almost surely, 21156068001 is an apocalyptic number.

1156068001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1156068001 is the 34001-st square number.

1156068001 is the 17001-st centered octagonal number.

It is an amenable number.

1156068001 is a deficient number, since it is larger than the sum of its proper divisors (120140514).

1156068001 is an frugal number, since it uses more digits than its factorization.

1156068001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The cubic root of 1156068001 is about 1049.5290407941.

The spelling of 1156068001 in words is "one billion, one hundred fifty-six million, sixty-eight thousand, one".

Divisors: 1 11 121 281 1331 3091 14641 34001 78961 374011 868571 4114121 9554281 105097091 1156068001