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1231000020 = 2232523409727
BaseRepresentation
bin100100101011111…
…1001000111010100
310011210100021120100
41021113321013110
510010114000040
6322052334100
742335220225
oct11127710724
93153307510
101231000020
1158195a598
122a4314330
131680596a3
14b96bd24c
1573110b30
hex495f91d4

1231000020 has 144 divisors (see below), whose sum is σ = 3911281920. Its totient is φ = 312795648.

The previous prime is 1231000009. The next prime is 1231000037. The reversal of 1231000020 is 200001321.

It is a happy number.

It is a super-2 number, since 2×12310000202 = 3030722098480000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1230999966 and 1231000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1692897 + ... + 1693623.

It is an arithmetic number, because the mean of its divisors is an integer number (27161680).

Almost surely, 21231000020 is an apocalyptic number.

1231000020 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 1231000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955640960).

1231000020 is an abundant number, since it is smaller than the sum of its proper divisors (2680281900).

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

1231000020 is a wasteful number, since it uses less digits than its factorization.

1231000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1231000020 is about 35085.6098707148. The cubic root of 1231000020 is about 1071.7315603288.

Adding to 1231000020 its reverse (200001321), we get a palindrome (1431001341).

The spelling of 1231000020 in words is "one billion, two hundred thirty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 409 414 460 690 727 818 828 1035 1227 1380 1454 1636 2045 2070 2181 2454 2908 3635 3681 4090 4140 4362 4908 6135 6543 7270 7362 8180 8724 9407 10905 12270 13086 14540 14724 16721 18405 18814 21810 24540 26172 28221 32715 33442 36810 37628 43620 47035 50163 56442 65430 66884 73620 83605 84663 94070 100326 112884 130860 141105 150489 167210 169326 188140 200652 250815 282210 297343 300978 334420 338652 423315 501630 564420 594686 601956 752445 846630 892029 1003260 1189372 1486715 1504890 1693260 1784058 2676087 2973430 3009780 3568116 4460145 5352174 5946860 6838889 8920290 10704348 13380435 13677778 17840580 20516667 26760870 27355556 34194445 41033334 53521740 61550001 68388890 82066668 102583335 123100002 136777780 205166670 246200004 307750005 410333340 615500010 1231000020