Search a number
-
+
307097936124100 = 22521121593112
BaseRepresentation
bin100010111010011011100111…
…1011001001101100011000100
31111021100021110012000010222221
41011310313033121031203010
5310222443033121432400
63005050502204502124
7121454044066165012
oct10564671731154304
91437307405003887
10307097936124100
118993a559a08400
122a53977954a944
1310248298a8c624
1455b98959678b2
1525784c6eb8c1a
hex1174dcf64d8c4

307097936124100 has 81 divisors (see below), whose sum is σ = 732496625546413. Its totient is φ = 111671275804000.

The previous prime is 307097936124047. The next prime is 307097936124137. The reversal of 307097936124100 is 1421639790703.

The square root of 307097936124100 is 17524210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 110555257004676 + 196542679119424 = 10514526^2 + 14019368^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1927583445 + ... + 1927742755.

Almost surely, 2307097936124100 is an apocalyptic number.

307097936124100 is the 17524210-th square number.

It is an amenable number.

307097936124100 is an abundant number, since it is smaller than the sum of its proper divisors (425398689422313).

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

307097936124100 is an frugal number, since it uses more digits than its factorization.

307097936124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318658 (or 159329 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 52.

The spelling of 307097936124100 in words is "three hundred seven trillion, ninety-seven billion, nine hundred thirty-six million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 159311 318622 637244 796555 1593110 1752421 3186220 3504842 3982775 7009684 7965550 8762105 15931100 17524210 19276631 35048420 38553262 43810525 77106524 87621050 96383155 175242100 192766310 385532620 481915775 963831550 1927663100 25379994721 50759989442 101519978884 126899973605 253799947210 279179941931 507599894420 558359883862 634499868025 1116719767724 1268999736050 1395899709655 2537999472100 2791799419310 3070979361241 5583598838620 6141958722482 6979498548275 12283917444964 13958997096550 15354896806205 27917994193100 30709793612410 61419587224820 76774484031025 153548968062050 307097936124100