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1211104020 = 2235722712703
BaseRepresentation
bin100100000101111…
…1111101100010100
310010101220110101110
41020023333230110
54440020312040
6320102055020
742004133340
oct11013775424
93111813343
101211104020
11571700415
1229971a470
13163bb16c9
14b6bc0620
15714d0980
hex482ffb14

1211104020 has 96 divisors (see below), whose sum is σ = 3892912128. Its totient is φ = 275582592.

The previous prime is 1211104009. The next prime is 1211104067. The reversal of 1211104020 is 204011121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1211103987 and 1211104005.

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, 88989 + ... + 101691.

It is an arithmetic number, because the mean of its divisors is an integer number (40551168).

Almost surely, 21211104020 is an apocalyptic number.

1211104020 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 1211104020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946456064).

1211104020 is an abundant number, since it is smaller than the sum of its proper divisors (2681808108).

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

1211104020 is a wasteful number, since it uses less digits than its factorization.

1211104020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12949 (or 12947 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1211104020 is about 34800.9198154302. The cubic root of 1211104020 is about 1065.9262281057.

Adding to 1211104020 its reverse (204011121), we get a palindrome (1415115141).

The spelling of 1211104020 in words is "one billion, two hundred eleven million, one hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 227 420 454 681 908 1135 1362 1589 2270 2724 3178 3405 4540 4767 6356 6810 7945 9534 12703 13620 15890 19068 23835 25406 31780 38109 47670 50812 63515 76218 88921 95340 127030 152436 177842 190545 254060 266763 355684 381090 444605 533526 762180 889210 1067052 1333815 1778420 2667630 2883581 5335260 5767162 8650743 11534324 14417905 17301486 20185067 28835810 34602972 40370134 43253715 57671620 60555201 80740268 86507430 100925335 121110402 173014860 201850670 242220804 302776005 403701340 605552010 1211104020