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202312434330 = 232573130123669
BaseRepresentation
bin1011110001101011000…
…0101100001010011010
3201100012111112112001100
42330122300230022122
511303313440344310
6232535133332230
720421330214026
oct2743260541232
9640174475040
10202312434330
1178889105356
1233262037076
1316102428c06
149b13269386
1553e149eec0
hex2f1ac2c29a

202312434330 has 96 divisors (see below), whose sum is σ = 533650375440. Its totient is φ = 53167795200.

The previous prime is 202312434307. The next prime is 202312434343. The reversal of 202312434330 is 33434213202.

202312434330 is a `hidden beast` number, since 2 + 0 + 2 + 312 + 4 + 343 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17170695369 + 185141738961 = 131037^2 + 430281^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202312434294 and 202312434303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8535736 + ... + 8559404.

Almost surely, 2202312434330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202312434330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266825187720).

202312434330 is an abundant number, since it is smaller than the sum of its proper divisors (331337941110).

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

202312434330 is a wasteful number, since it uses less digits than its factorization.

202312434330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25056 (or 25053 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 202312434330 its reverse (33434213202), we get a palindrome (235746647532).

The spelling of 202312434330 in words is "two hundred two billion, three hundred twelve million, four hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1301 1314 2190 2602 3285 3903 6505 6570 7806 11709 13010 19515 23418 23669 39030 47338 58545 71007 94973 117090 118345 142014 189946 213021 236690 284919 355035 426042 474865 569838 710070 854757 949730 1065105 1424595 1709514 1727837 2130210 2849190 3455674 4273785 5183511 8547570 8639185 10367022 15550533 17278370 25917555 30793369 31101066 51835110 61586738 77752665 92380107 153966845 155505330 184760214 277140321 307933690 461900535 554280642 923801070 1385701605 2247915937 2771403210 4495831874 6743747811 11239579685 13487495622 20231243433 22479159370 33718739055 40462486866 67437478110 101156217165 202312434330