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20010302334 = 232113727110079
BaseRepresentation
bin10010101000101101…
…001111101101111110
31220122112220200101200
4102220231033231332
5311440114133314
613105334120330
71305605522601
oct225055175576
956575820350
1020010302334
118539326350
123a654b00a6
131b6b873ca9
14d7b808338
157c1b03709
hex4a8b4fb7e

20010302334 has 96 divisors (see below), whose sum is σ = 48759459840. Its totient is φ = 5877489600.

The previous prime is 20010302327. The next prime is 20010302341. The reversal of 20010302334 is 43320301002.

20010302334 is a `hidden beast` number, since 20 + 0 + 10 + 302 + 334 = 666.

It is an interprime number because it is at equal distance from previous prime (20010302327) and next prime (20010302341).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 1980307 + ... + 1990385.

It is an arithmetic number, because the mean of its divisors is an integer number (507911040).

Almost surely, 220010302334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20010302334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24379729920).

20010302334 is an abundant number, since it is smaller than the sum of its proper divisors (28749157506).

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

20010302334 is a wasteful number, since it uses less digits than its factorization.

20010302334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10406 (or 10403 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20010302334 its reverse (43320301002), we get a palindrome (63330603336).

The spelling of 20010302334 in words is "twenty billion, ten million, three hundred two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 271 333 407 542 666 813 814 1221 1626 2439 2442 2981 3663 4878 5962 7326 8943 10027 10079 17886 20054 20158 26829 30081 30237 53658 60162 60474 90243 90711 110297 110869 180486 181422 220594 221738 330891 332607 372923 661782 665214 745846 992673 997821 1118769 1985346 1995642 2237538 2731409 3356307 4102153 5462818 6712614 8194227 8204306 12306459 16388454 24582681 24612918 30045499 36919377 49165362 60090998 73838754 90136497 101062133 180272994 202124266 270409491 303186399 540818982 606372798 909559197 1111683463 1819118394 2223366926 3335050389 6670100778 10005151167 20010302334