Search a number
-
+
3143101031120 = 245536563112951
BaseRepresentation
bin101101101111001111011…
…010111010001011010000
3102010110220010002212011202
4231233033122322023100
5402444032330443440
610403530511130332
7443036654644331
oct55571732721320
912113803085152
103143101031120
111001a88656456
124291a22139a8
1319a5159bb34b
14ac1ac30a288
1556b5c814615
hex2dbcf6ba2d0

3143101031120 has 80 divisors (see below), whose sum is σ = 7446791624832. Its totient is φ = 1233320025600.

The previous prime is 3143101031113. The next prime is 3143101031137. The reversal of 3143101031120 is 211301013413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3143101031092 and 3143101031101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27770645 + ... + 27883595.

Almost surely, 23143101031120 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 3143101031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723395812416).

3143101031120 is an abundant number, since it is smaller than the sum of its proper divisors (4303690593712).

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

3143101031120 is a wasteful number, since it uses less digits than its factorization.

3143101031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119580 (or 119574 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 3143101031120 its reverse (211301013413), we get a palindrome (3354402044533).

The spelling of 3143101031120 in words is "three trillion, one hundred forty-three billion, one hundred one million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 6563 13126 26252 32815 52504 65630 105008 112951 131260 225902 262520 347839 451804 525040 564755 695678 903608 1129510 1391356 1739195 1807216 2259020 2782712 3478390 4518040 5565424 5986403 6956780 9036080 11972806 13913560 23945612 27827120 29932015 47891224 59864030 95782448 119728060 239456120 478912240 741297413 1482594826 2965189652 3706487065 5930379304 7412974130 11860758608 14825948260 29651896520 39288762889 59303793040 78577525778 157155051556 196443814445 314310103112 392887628890 628620206224 785775257780 1571550515560 3143101031120