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1211013020 = 2257172322123
BaseRepresentation
bin100100000101110…
…1001011110011100
310010101201211120002
41020023221132130
54440004404040
6320100113432
742003304130
oct11013513634
93111654502
101211013020
11571649008
12299695878
13163b7c169
14b6b993c0
15714b3a15
hex482e979c

1211013020 has 96 divisors (see below), whose sum is σ = 3211342848. Its totient is φ = 373773312.

The previous prime is 1211012821. The next prime is 1211013031. The reversal of 1211013020 is 203101121.

It is a junction number, because it is equal to n+sod(n) for n = 1211012992 and 1211013010.

It is a congruent number.

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, 43679 + ... + 65801.

It is an arithmetic number, because the mean of its divisors is an integer number (33451488).

Almost surely, 21211013020 is an apocalyptic number.

1211013020 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 1211013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605671424).

1211013020 is an abundant number, since it is smaller than the sum of its proper divisors (2000329828).

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

1211013020 is a wasteful number, since it uses less digits than its factorization.

1211013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22179 (or 22177 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1211013020 is about 34799.6123541628. The cubic root of 1211013020 is about 1065.8995302293.

Adding to 1211013020 its reverse (203101121), we get a palindrome (1414114141).

The spelling of 1211013020 in words is "one billion, two hundred eleven million, thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 68 70 85 92 115 119 140 161 170 230 238 322 340 391 460 476 595 644 782 805 1190 1564 1610 1955 2380 2737 3220 3910 5474 7820 10948 13685 22123 27370 44246 54740 88492 110615 154861 221230 309722 376091 442460 508829 619444 752182 774305 1017658 1504364 1548610 1880455 2035316 2544145 2632637 3097220 3561803 3760910 5088290 5265274 7123606 7521820 8650093 10176580 10530548 13163185 14247212 17300186 17809015 26326370 34600372 35618030 43250465 52652740 60550651 71236060 86500930 121101302 173001860 242202604 302753255 605506510 1211013020