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10342010204320 = 255316920396833
BaseRepresentation
bin1001011001111110111111…
…0110000011000010100000
31100121200112110202202222211
42112133233312003002200
52323420414103014240
633555015350411504
72115120440202514
oct226375766030240
940550473682884
1010342010204320
113328027165643
1211b0426360b94
135a032a6475a2
1427a7ad7d2144
1512e045814bea
hex967efd830a0

10342010204320 has 48 divisors (see below), whose sum is σ = 24440710308840. Its totient is φ = 4135498481664.

The previous prime is 10342010204291. The next prime is 10342010204329. The reversal of 10342010204320 is 2340201024301.

10342010204320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9453583310224 + 888426894096 = 3074668^2 + 942564^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10342010204291 and 10342010204300.

It is not an unprimeable number, because it can be changed into a prime (10342010204329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9691377 + ... + 10705456.

Almost surely, 210342010204320 is an apocalyptic number.

10342010204320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10342010204320 is an abundant number, since it is smaller than the sum of its proper divisors (14098700104520).

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

10342010204320 is a wasteful number, since it uses less digits than its factorization.

10342010204320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20400017 (or 20400009 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10342010204320 its reverse (2340201024301), we get a palindrome (12682211228621).

The spelling of 10342010204320 in words is "ten trillion, three hundred forty-two billion, ten million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3169 6338 12676 15845 25352 31690 50704 63380 101408 126760 253520 507040 20396833 40793666 81587332 101984165 163174664 203968330 326349328 407936660 652698656 815873320 1631746640 3263493280 64637563777 129275127554 258550255108 323187818885 517100510216 646375637770 1034201020432 1292751275540 2068402040864 2585502551080 5171005102160 10342010204320