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20303122123312 = 2472232449945959
BaseRepresentation
bin1001001110111001100000…
…11000011100101000110000
32122212221220111012211102121
410213130300120130220300
510130121243230421222
6111103043041124024
74163565202403500
oct447346030345060
978787814184377
1020303122123312
116518562156836
12233aa6a629614
13b43764bb5392
14502967cb5a00
152531e66ad5c7
hex12773061ca30

20303122123312 has 120 divisors (see below), whose sum is σ = 47752256160000. Its totient is φ = 8322498188928.

The previous prime is 20303122123279. The next prime is 20303122123343. The reversal of 20303122123312 is 21332122130302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441742989 + ... + 441788947.

It is an arithmetic number, because the mean of its divisors is an integer number (397935468000).

Almost surely, 220303122123312 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 20303122123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23876128080000).

20303122123312 is an abundant number, since it is smaller than the sum of its proper divisors (27449134036688).

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

20303122123312 is a wasteful number, since it uses less digits than its factorization.

20303122123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70503 (or 70490 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 20303122123312 its reverse (21332122130302), we get a palindrome (41635244253614).

The spelling of 20303122123312 in words is "twenty trillion, three hundred three billion, one hundred twenty-two million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 368 392 644 784 1127 1288 2254 2576 4508 9016 18032 24499 45959 48998 91918 97996 171493 183836 195992 321713 342986 367672 391984 563477 643426 685972 735344 1057057 1126954 1200451 1286852 1371944 2114114 2251991 2253908 2400902 2573704 2743888 3944339 4228228 4503982 4507816 4801804 5147408 7399399 7888678 8456456 9007964 9015632 9603608 14798798 15777356 16912912 18015928 19207216 27610373 29597596 31554712 36031856 51795793 55220746 59195192 63109424 103591586 110441492 118390384 207183172 220882984 414366344 441765968 828732688 1125949541 2251899082 4503798164 7881646787 9007596328 15763293574 18015192656 25896839443 31526587148 51793678886 55171527509 63053174296 103587357772 110343055018 126106348592 181277876101 207174715544 220686110036 362555752202 414349431088 441372220072 725111504404 882744440144 1268945132707 1450223008808 2537890265414 2900446017616 5075780530828 10151561061656 20303122123312