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1011233020 = 225731415683
BaseRepresentation
bin111100010001100…
…011000011111100
32121110210221220211
4330101203003330
54032333424040
6244202122204
734026224140
oct7421430374
92543727824
101011233020
114798a6376
122427b0364
13131671045
1498433220
155db9e8ea
hex3c4630fc

1011233020 has 96 divisors (see below), whose sum is σ = 2566803456. Its totient is φ = 327283200.

The previous prime is 1011232997. The next prime is 1011233023. The reversal of 1011233020 is 203321101.

1011233020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011233023) 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, 175099 + ... + 180781.

It is an arithmetic number, because the mean of its divisors is an integer number (26737536).

Almost surely, 21011233020 is an apocalyptic number.

1011233020 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 1011233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283401728).

1011233020 is an abundant number, since it is smaller than the sum of its proper divisors (1555570436).

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

1011233020 is a wasteful number, since it uses less digits than its factorization.

1011233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5771 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1011233020 is about 31799.8902513829. The cubic root of 1011233020 is about 1003.7304067614.

Adding to 1011233020 its reverse (203321101), we get a palindrome (1214554121).

The spelling of 1011233020 in words is "one billion, eleven million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 41 62 70 82 124 140 155 164 205 217 287 310 410 434 574 620 820 868 1085 1148 1271 1435 2170 2542 2870 4340 5084 5683 5740 6355 8897 11366 12710 17794 22732 25420 28415 35588 39781 44485 56830 79562 88970 113660 159124 176173 177940 198905 233003 352346 397810 466006 704692 795620 880865 932012 1165015 1233211 1631021 1761730 2330030 2466422 3262042 3523460 4660060 4932844 6166055 6524084 7223093 8155105 12332110 14446186 16310210 24664220 28892372 32620420 36115465 50561651 72230930 101123302 144461860 202246604 252808255 505616510 1011233020