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1022113332 = 2232157193937
BaseRepresentation
bin111100111011000…
…011011000110100
32122020021201220100
4330323003120310
54043130111312
6245231234100
734220551152
oct7473033064
92566251810
101022113332
11484a57969
12246378930
131339b04b6
1499a663d2
155eaed5dc
hex3cec3634

1022113332 has 72 divisors (see below), whose sum is σ = 2616393416. Its totient is φ = 336420864.

The previous prime is 1022113331. The next prime is 1022113349. The reversal of 1022113332 is 2333112201.

It can be written as a sum of positive squares in 4 ways, for example, as 16208676 + 1005904656 = 4026^2 + 31716^2 .

It is a super-3 number, since 3×10221133323 (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022113331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1090368 + ... + 1091304.

Almost surely, 21022113332 is an apocalyptic number.

1022113332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022113332 is an abundant number, since it is smaller than the sum of its proper divisors (1594280084).

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

1022113332 is a wasteful number, since it uses less digits than its factorization.

1022113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1022113332 is about 31970.5072215003. The cubic root of 1022113332 is about 1007.3174352050.

Adding to 1022113332 its reverse (2333112201), we get a palindrome (3355225533).

The spelling of 1022113332 in words is "one billion, twenty-two million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 157 193 314 386 471 579 628 772 937 942 1158 1413 1737 1874 1884 2316 2811 2826 3474 3748 5622 5652 6948 8433 11244 16866 30301 33732 60602 90903 121204 147109 180841 181806 272709 294218 361682 363612 441327 542523 545418 588436 723364 882654 1085046 1090836 1323981 1627569 1765308 2170092 2647962 3255138 5295924 6510276 28392037 56784074 85176111 113568148 170352222 255528333 340704444 511056666 1022113332