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12301945380 = 223251311573323
BaseRepresentation
bin10110111010100000…
…01100101000100100
31011202100021120112200
423131100030220210
5200143244223010
65352413214500
7613565544654
oct133520145044
934670246480
1012301945380
11524314470a
122473a91430
131210893c2a
14849b7a364
154c0015cc0
hex2dd40ca24

12301945380 has 144 divisors (see below), whose sum is σ = 37851637824. Its totient is φ = 3233767680.

The previous prime is 12301945351. The next prime is 12301945429. The reversal of 12301945380 is 8354910321.

12301945380 is a `hidden beast` number, since 1 + 2 + 30 + 1 + 94 + 538 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3700399 + ... + 3703721.

It is an arithmetic number, because the mean of its divisors is an integer number (262858596).

Almost surely, 212301945380 is an apocalyptic number.

12301945380 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 12301945380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18925818912).

12301945380 is an abundant number, since it is smaller than the sum of its proper divisors (25549692444).

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

12301945380 is a wasteful number, since it uses less digits than its factorization.

12301945380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12301945380 in words is "twelve billion, three hundred one million, nine hundred forty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 157 180 262 314 393 471 524 628 655 785 786 942 1179 1310 1413 1570 1572 1884 1965 2355 2358 2620 2826 3140 3323 3930 4710 4716 5652 5895 6646 7065 7860 9420 9969 11790 13292 14130 16615 19938 20567 23580 28260 29907 33230 39876 41134 49845 59814 61701 66460 82268 99690 102835 119628 123402 149535 185103 199380 205670 246804 299070 308505 370206 411340 435313 521711 598140 617010 740412 870626 925515 1043422 1234020 1305939 1565133 1741252 1851030 2086844 2176565 2608555 2611878 3130266 3702060 3917817 4353130 4695399 5217110 5223756 6260532 6529695 7825665 7835634 8706260 9390798 10434220 13059390 15651330 15671268 18781596 19589085 23476995 26118780 31302660 39178170 46953990 68344141 78356340 93907980 136688282 205032423 273376564 341720705 410064846 615097269 683441410 820129692 1025162115 1230194538 1366882820 2050324230 2460389076 3075486345 4100648460 6150972690 12301945380