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12301385900 = 2252311012389
BaseRepresentation
bin10110111010011100…
…00100000010101100
31011202022020011002012
423131032010002230
5200143123322100
65352353220352
7613561024556
oct133516040254
934668204065
1012301385900
1152428a2331
1224738616b8
13121072938b
14849a724d6
154bee55135
hex2dd3840ac

12301385900 has 108 divisors (see below), whose sum is σ = 27902172480. Its totient is φ = 4702560000.

The previous prime is 12301385857. The next prime is 12301385917. The reversal of 12301385900 is 958310321.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31622906 + ... + 31623294.

Almost surely, 212301385900 is an apocalyptic number.

12301385900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12301385900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13951086240).

12301385900 is an abundant number, since it is smaller than the sum of its proper divisors (15600786580).

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

12301385900 is a wasteful number, since it uses less digits than its factorization.

12301385900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 12301385900 in words is "twelve billion, three hundred one million, three hundred eighty-five thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 101 124 155 202 310 389 404 505 620 775 778 1010 1550 1556 1945 2020 2525 3100 3131 3890 5050 6262 7780 9725 10100 10201 12059 12524 15655 19450 20402 24118 31310 38900 39289 40804 48236 51005 60295 62620 78275 78578 102010 120590 156550 157156 196445 204020 241180 255025 301475 313100 316231 392890 510050 602950 632462 785780 982225 1020100 1205900 1217959 1264924 1581155 1964450 2435918 3162310 3928900 3968189 4871836 6089795 6324620 7905775 7936378 12179590 15811550 15872756 19840945 24359180 30448975 31623100 39681890 60897950 79363780 99204725 121795900 123013859 198409450 246027718 396818900 492055436 615069295 1230138590 2460277180 3075346475 6150692950 12301385900