Search a number
-
+
302111042420 = 2251119540713367
BaseRepresentation
bin1000110010101110011…
…10001010101101110100
31001212210122020002112102
410121113032022231310
514422210411324140
6350442104041232
730553410330065
oct4312716125564
91055718202472
10302111042420
11107140897760
124a674463218
13226482b4935
141089d66456c
157cd2ba7e15
hex465738ab74

302111042420 has 96 divisors (see below), whose sum is σ = 728724971520. Its totient is φ = 104049498240.

The previous prime is 302111042417. The next prime is 302111042423. The reversal of 302111042420 is 24240111203.

It is an interprime number because it is at equal distance from previous prime (302111042417) and next prime (302111042423).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 302111042392 and 302111042401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302111042423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22594577 + ... + 22607943.

It is an arithmetic number, because the mean of its divisors is an integer number (7590885120).

Almost surely, 2302111042420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302111042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364362485760).

302111042420 is an abundant number, since it is smaller than the sum of its proper divisors (426613929100).

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

302111042420 is a wasteful number, since it uses less digits than its factorization.

302111042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18813 (or 18811 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 302111042420 its reverse (24240111203), we get a palindrome (326351153623).

The spelling of 302111042420 in words is "three hundred two billion, one hundred eleven million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 5407 10814 13367 21628 26734 27035 53468 54070 59477 66835 102733 108140 118954 133670 147037 205466 237908 253973 267340 294074 297385 410932 507946 513665 588148 594770 735185 1015892 1027330 1130063 1189540 1269865 1470370 2054660 2260126 2539730 2793703 2940740 4520252 5079460 5587406 5650315 11174812 11300630 13968515 22601260 27937030 55874060 72275369 144550738 289101476 361376845 722753690 795029059 1373232011 1445507380 1590058118 2746464022 3180116236 3975145295 5492928044 6866160055 7950290590 13732320110 15105552121 15900581180 27464640220 30211104242 60422208484 75527760605 151055521210 302111042420