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3101221020 = 2235892712143
BaseRepresentation
bin1011100011011000…
…1110000010011100
322000010111100110210
42320312032002130
522322403033040
61231421532420
7136564641462
oct27066160234
98003440423
103101221020
111351616287
12726714110
133a5664a31
14215c34832
151323da480
hexb8d8e09c

3101221020 has 96 divisors (see below), whose sum is σ = 8817500160. Its totient is φ = 814302720.

The previous prime is 3101220989. The next prime is 3101221043. The reversal of 3101221020 is 201221013.

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 = 3101220987 and 3101221005.

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, 1446069 + ... + 1448211.

It is an arithmetic number, because the mean of its divisors is an integer number (91848960).

Almost surely, 23101221020 is an apocalyptic number.

3101221020 is a gapful number since it is divisible by the number (30) 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 3101221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408750080).

3101221020 is an abundant number, since it is smaller than the sum of its proper divisors (5716279140).

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

3101221020 is a wasteful number, since it uses less digits than its factorization.

3101221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3101221020 is about 55688.6076320822. The cubic root of 3101221020 is about 1458.2911482183.

Adding to 3101221020 its reverse (201221013), we get a palindrome (3302442033).

The spelling of 3101221020 in words is "three billion, one hundred one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 271 356 445 534 542 813 890 1068 1084 1335 1355 1626 1780 2143 2670 2710 3252 4065 4286 5340 5420 6429 8130 8572 10715 12858 16260 21430 24119 25716 32145 42860 48238 64290 72357 96476 120595 128580 144714 190727 241190 289428 361785 381454 482380 572181 580753 723570 762908 953635 1144362 1161506 1447140 1742259 1907270 2288724 2323012 2860905 2903765 3484518 3814540 5721810 5807530 6969036 8711295 11443620 11615060 17422590 34845180 51687017 103374034 155061051 206748068 258435085 310122102 516870170 620244204 775305255 1033740340 1550610510 3101221020