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1122922801 = 711134127361
BaseRepresentation
bin100001011101110…
…0111000100110001
32220020222101111101
41002323213010301
54244432012201
6303232044401
736553454260
oct10273470461
92806871441
101122922801
11526951580
12274093701
1314b848580
14a91c85d7
15688b2d01
hex42ee7131

1122922801 has 32 divisors (see below), whose sum is σ = 1544530176. Its totient is φ = 787968000.

The previous prime is 1122922783. The next prime is 1122922817. The reversal of 1122922801 is 1082292211.

It is a 3-Lehmer number, since φ(1122922801) divides (1122922801-1)3.

It is a cyclic number.

It is not a de Polignac number, because 1122922801 - 211 = 1122920753 is a prime.

It is a deceptive number, since it divides R1122922800.

It is a self number, because there is not a number n which added to its sum of digits gives 1122922801.

It is not an unprimeable number, because it can be changed into a prime (1122922861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27361 + ... + 54721.

It is an arithmetic number, because the mean of its divisors is an integer number (48266568).

It is a Poulet number, since it divides 21122922800-1.

Almost surely, 21122922801 is an apocalyptic number.

1122922801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1122922801 is the 27361-st pentagonal number.

It is an amenable number.

1122922801 is a deficient number, since it is larger than the sum of its proper divisors (421607375).

1122922801 is a wasteful number, since it uses less digits than its factorization.

1122922801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27433.

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1122922801 is about 33510.0403013783. The cubic root of 1122922801 is about 1039.4014063343.

The spelling of 1122922801 in words is "one billion, one hundred twenty-two million, nine hundred twenty-two thousand, eight hundred one".

Divisors: 1 7 11 13 41 77 91 143 287 451 533 1001 3157 3731 5863 27361 41041 191527 300971 355693 1121801 2106797 2489851 3912623 7852607 12339811 14583413 27388361 86378677 102083891 160417543 1122922801