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1121023962 = 23417616673
BaseRepresentation
bin100001011010001…
…0111011111011010
32220010101220210000
41002310113133122
54243440231322
6303123233430
736531355302
oct10264273732
92803356700
101121023962
11525874993
12273518876
1314b3321b6
14a8c52602
156863a3ac
hex42d177da

1121023962 has 80 divisors (see below), whose sum is σ = 2703690792. Its totient is φ = 345876480.

The previous prime is 1121023961. The next prime is 1121023963. The reversal of 1121023962 is 2693201211.

It is an interprime number because it is at equal distance from previous prime (1121023961) and next prime (1121023963).

It can be written as a sum of positive squares in 4 ways, for example, as 494573121 + 626450841 = 22239^2 + 25029^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1121023961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164658 + ... + 171330.

Almost surely, 21121023962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121023962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351845396).

1121023962 is an abundant number, since it is smaller than the sum of its proper divisors (1582666830).

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

1121023962 is a wasteful number, since it uses less digits than its factorization.

1121023962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6765 (or 6756 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1121023962 is about 33481.6959247885. The cubic root of 1121023962 is about 1038.8152071044.

The spelling of 1121023962 in words is "one billion, one hundred twenty-one million, twenty-three thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 61 81 102 122 153 162 183 306 366 459 549 918 1037 1098 1377 1647 2074 2754 3111 3294 4941 6222 6673 9333 9882 13346 18666 20019 27999 40038 55998 60057 83997 113441 120114 167994 180171 226882 340323 360342 407053 540513 680646 814106 1020969 1081026 1221159 2041938 2442318 3062907 3663477 6125814 6919901 7326954 9188721 10990431 13839802 18377442 20759703 21980862 32971293 41519406 62279109 65942586 124558218 186837327 373674654 560511981 1121023962