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302013000020 = 225294325747119
BaseRepresentation
bin1000110010100010110…
…00001010100101010100
31001212112210202000122102
410121101120022211110
514422010312000040
6350424242421232
730551110100144
oct4312130124524
91055483660572
10302013000020
111070a0512a86
124a647661818
1322630ba8194
1410890622924
157cc928d515
hex465160a954

302013000020 has 96 divisors (see below), whose sum is σ = 673981862400. Its totient is φ = 113481252864.

The previous prime is 302012999999. The next prime is 302013000041. The reversal of 302013000020 is 20000310203.

It is an interprime number because it is at equal distance from previous prime (302012999999) and next prime (302013000041).

It is a junction number, because it is equal to n+sod(n) for n = 302012999965 and 302013000010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6386021 + ... + 6433139.

It is an arithmetic number, because the mean of its divisors is an integer number (7020644400).

Almost surely, 2302013000020 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 302013000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336990931200).

302013000020 is an abundant number, since it is smaller than the sum of its proper divisors (371968862380).

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

302013000020 is a wasteful number, since it uses less digits than its factorization.

302013000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47457 (or 47455 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 302013000020 its reverse (20000310203), we get a palindrome (322013310223).

The spelling of 302013000020 in words is "three hundred two billion, thirteen million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 215 257 290 430 514 580 860 1028 1247 1285 2494 2570 4988 5140 6235 7453 11051 12470 14906 22102 24940 29812 37265 44204 47119 55255 74530 94238 110510 149060 188476 221020 235595 320479 471190 640958 942380 1281916 1366451 1602395 2026117 2732902 3204790 4052234 5465804 6409580 6832255 8104468 10130585 12109583 13664510 20261170 24219166 27329020 40522340 48438332 58757393 60547915 117514786 121095830 235029572 242191660 293786965 351177907 520712069 587573930 702355814 1041424138 1175147860 1404711628 1755889535 2082848276 2603560345 3511779070 5207120690 7023558140 10414241380 15100650001 30201300002 60402600004 75503250005 151006500010 302013000020