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1012122020 = 2257131929269
BaseRepresentation
bin111100010100111…
…100000110100100
32121112111010101202
4330110330012210
54033100401040
6244233142032
734036616030
oct7424740644
92545433352
101012122020
1147a353288
12242b5a918
131318c2890
14985c51c0
155dcc8015
hex3c53c1a4

1012122020 has 96 divisors (see below), whose sum is σ = 2753721600. Its totient is φ = 303450624.

The previous prime is 1012121989. The next prime is 1012122031. The reversal of 1012122020 is 202212101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1012121992 and 1012122010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19946 + ... + 49214.

It is an arithmetic number, because the mean of its divisors is an integer number (28684600).

Almost surely, 21012122020 is an apocalyptic number.

1012122020 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 1012122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376860800).

1012122020 is an abundant number, since it is smaller than the sum of its proper divisors (1741599580).

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

1012122020 is a wasteful number, since it uses less digits than its factorization.

1012122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29317 (or 29315 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1012122020 is about 31813.8652162858. The cubic root of 1012122020 is about 1004.0244553653.

Adding to 1012122020 its reverse (202212101), we get a palindrome (1214334121).

The spelling of 1012122020 in words is "one billion, twelve million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 52 65 70 76 91 95 130 133 140 182 190 247 260 266 364 380 455 494 532 665 910 988 1235 1330 1729 1820 2470 2660 3458 4940 6916 8645 17290 29269 34580 58538 117076 146345 204883 292690 380497 409766 556111 585380 760994 819532 1024415 1112222 1521988 1902485 2048830 2224444 2663479 2780555 3804970 3892777 4097660 5326958 5561110 7229443 7609940 7785554 10653916 11122220 13317395 14458886 15571108 19463885 26634790 28917772 36147215 38927770 50606101 53269580 72294430 77855540 101212202 144588860 202424404 253030505 506061010 1012122020