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3412121020 = 2257113171473
BaseRepresentation
bin1100101101100000…
…1101010110111100
322210210111201002121
43023120031112330
523442000333040
61322325332324
7150361356460
oct31330152674
98723451077
103412121020
1114a1065030
127b28670a4
13424baac29
142452444a0
1514e84dc4a
hexcb60d5bc

3412121020 has 96 divisors (see below), whose sum is σ = 9221861376. Its totient is φ = 1029196800.

The previous prime is 3412121003. The next prime is 3412121029. The reversal of 3412121020 is 201212143.

It is a junction number, because it is equal to n+sod(n) for n = 3412120985 and 3412121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412121029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12004 + ... + 83476.

It is an arithmetic number, because the mean of its divisors is an integer number (96061056).

Almost surely, 23412121020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610930688).

3412121020 is an abundant number, since it is smaller than the sum of its proper divisors (5809740356).

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

3412121020 is a wasteful number, since it uses less digits than its factorization.

3412121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71531 (or 71529 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3412121020 is about 58413.3633683252. The cubic root of 3412121020 is about 1505.4793703324.

Adding to 3412121020 its reverse (201212143), we get a palindrome (3613333163).

The spelling of 3412121020 in words is "three billion, four hundred twelve million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 77 110 124 140 154 155 217 220 308 310 341 385 434 620 682 770 868 1085 1364 1540 1705 2170 2387 3410 4340 4774 6820 9548 11935 23870 47740 71473 142946 285892 357365 500311 714730 786203 1000622 1429460 1572406 2001244 2215663 2501555 3144812 3931015 4431326 5003110 5503421 7862030 8862652 10006220 11006842 11078315 15509641 15724060 22013684 22156630 24372293 27517105 31019282 44313260 48744586 55034210 62038564 77548205 97489172 110068420 121861465 155096410 170606051 243722930 310192820 341212102 487445860 682424204 853030255 1706060510 3412121020