Search a number
-
+
3234151331010 = 234529137682049
BaseRepresentation
bin101111000100000010011…
…100001111010011000010
3102110011220120022022220000
4233010002130033103002
5410442020220043020
610513425411100430
7452442166505565
oct57040234172302
912404816268800
103234151331010
111037661126386
124429728a1716
131a5c962ac542
14b27688ca4dc
15591daeab090
hex2f10270f4c2

3234151331010 has 80 divisors (see below), whose sum is σ = 8996145147000. Its totient is φ = 832701026304.

The previous prime is 3234151330903. The next prime is 3234151331011. The reversal of 3234151331010 is 101331514323.

3234151331010 is a `hidden beast` number, since 3 + 2 + 3 + 41 + 513 + 3 + 101 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2382364467081 + 851786863929 = 1543491^2 + 922923^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3234151331011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68817535 + ... + 68864514.

Almost surely, 23234151331010 is an apocalyptic number.

3234151331010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3234151331010 is an abundant number, since it is smaller than the sum of its proper divisors (5761993815990).

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

3234151331010 is a wasteful number, since it uses less digits than its factorization.

3234151331010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137682097 (or 137682088 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 3234151331010 its reverse (101331514323), we get a palindrome (3335482845333).

The spelling of 3234151331010 in words is "three trillion, two hundred thirty-four billion, one hundred fifty-one million, three hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 870 1305 1566 2349 2610 3915 4698 7830 11745 23490 137682049 275364098 413046147 688410245 826092294 1239138441 1376820490 2065230735 2478276882 3717415323 3992779421 4130461470 6195692205 7434830646 7985558842 11152245969 11978338263 12391384410 18587076615 19963897105 22304491938 23956676526 35935014789 37174153230 39927794210 55761229845 59891691315 71870029578 107805044367 111522459690 119783382630 179675073945 215610088734 323415133101 359350147890 539025221835 646830266202 1078050443670 1617075665505 3234151331010