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1033122020 = 225731723279
BaseRepresentation
bin111101100101000…
…011000011100100
32200000000000222112
4331211003003210
54103434401040
6250303220152
734413251360
oct7545030344
92600000875
101033122020
11490196957
12249ba7658
13136066208
149b2d02a0
1560a75365
hex3d9430e4

1033122020 has 48 divisors (see below), whose sum is σ = 2487421440. Its totient is φ = 353080704.

The previous prime is 1033122019. The next prime is 1033122023. The reversal of 1033122020 is 202213301.

It is a happy number.

It is a super-2 number, since 2×10331220202 = 2134682216417760800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1033121986 and 1033122004.

It is not an unprimeable number, because it can be changed into a prime (1033122023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32741 + ... + 56019.

It is an arithmetic number, because the mean of its divisors is an integer number (51821280).

Almost surely, 21033122020 is an apocalyptic number.

1033122020 is a gapful number since it is divisible by the number (10) 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 1033122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243710720).

1033122020 is an abundant number, since it is smaller than the sum of its proper divisors (1454299420).

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

1033122020 is a wasteful number, since it uses less digits than its factorization.

1033122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23612 (or 23610 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1033122020 is about 32142.2155428029. The cubic root of 1033122020 is about 1010.9209715412.

Adding to 1033122020 its reverse (202213301), we get a palindrome (1235335321).

The spelling of 1033122020 in words is "one billion, thirty-three million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 317 634 1268 1585 2219 3170 4438 6340 8876 11095 22190 23279 44380 46558 93116 116395 162953 232790 325906 465580 651812 814765 1629530 3259060 7379443 14758886 29517772 36897215 51656101 73794430 103312202 147588860 206624404 258280505 516561010 1033122020