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1022113152 = 27323128621
BaseRepresentation
bin111100111011000…
…011010110000000
32122020021201122200
4330323003112000
54043130110102
6245231233200
734220550504
oct7473032600
92566251580
101022113152
11484a57815
12246378800
131339b03a8
1499a66304
155eaed51c
hex3cec3580

1022113152 has 96 divisors (see below), whose sum is σ = 3036221760. Its totient is φ = 329702400.

The previous prime is 1022113129. The next prime is 1022113171. The reversal of 1022113152 is 2513112201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21402 + ... + 50022.

It is an arithmetic number, because the mean of its divisors is an integer number (31627310).

Almost surely, 21022113152 is an apocalyptic number.

1022113152 is a gapful number since it is divisible by the number (12) 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 1022113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518110880).

1022113152 is an abundant number, since it is smaller than the sum of its proper divisors (2014108608).

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

1022113152 is a wasteful number, since it uses less digits than its factorization.

1022113152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28672 (or 28657 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1022113152 is about 31970.5044064056. The cubic root of 1022113152 is about 1007.3173760736.

Adding to 1022113152 its reverse (2513112201), we get a palindrome (3535225353).

The spelling of 1022113152 in words is "one billion, twenty-two million, one hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1984 2232 2976 3968 4464 5952 8928 11904 17856 28621 35712 57242 85863 114484 171726 228968 257589 343452 457936 515178 686904 887251 915872 1030356 1373808 1774502 1831744 2060712 2661753 2747616 3549004 3663488 4121424 5323506 5495232 7098008 7985259 8242848 10647012 10990464 14196016 15970518 16485696 21294024 28392032 31941036 32971392 42588048 56784064 63882072 85176096 113568128 127764144 170352192 255528288 340704384 511056576 1022113152