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13101012302312 = 2311375039478447
BaseRepresentation
bin1011111010100101000100…
…1011110011100111101000
31201101110000001222011020102
42332221101023303213220
53204121333122133222
643510304424444532
72521342204116524
oct276512113634750
951343001864212
1013101012302312
1141a11209a1580
121577092619748
137405601217bc
143341416b6d84
1517abc26d2d92
hexbea512f39e8

13101012302312 has 128 divisors (see below), whose sum is σ = 27608885821440. Its totient is φ = 5775750478080.

The previous prime is 13101012302309. The next prime is 13101012302333. The reversal of 13101012302312 is 21320321010131.

It is a happy 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, 1550962073 + ... + 1550970519.

It is an arithmetic number, because the mean of its divisors is an integer number (215694420480).

Almost surely, 213101012302312 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 13101012302312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13804442910720).

13101012302312 is an abundant number, since it is smaller than the sum of its proper divisors (14507873519128).

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

13101012302312 is a wasteful number, since it uses less digits than its factorization.

13101012302312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9951 (or 9947 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13101012302312 its reverse (21320321010131), we get a palindrome (34421333312443).

The spelling of 13101012302312 in words is "thirteen trillion, one hundred one billion, twelve million, three hundred two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 503 814 947 1006 1628 1894 2012 3256 3788 4024 5533 7576 8447 10417 11066 16894 18611 20834 22132 33788 35039 37222 41668 44264 67576 70078 74444 83336 92917 140156 148888 185834 204721 280312 312539 371668 385429 409442 476341 625078 743336 770858 818884 952682 1250156 1541716 1637768 1905364 2500312 3083432 3437929 3810728 4248841 5239751 6875858 7999309 8497682 10479502 13751716 15998618 16995364 17624617 20959004 27503432 31997236 33990728 35249234 41918008 46737251 63994472 70498468 87992399 93474502 140996936 157207117 175984798 186949004 193870787 295974433 314414234 351969596 373898008 387741574 591948866 628828468 703939192 775483148 1183897732 1257656936 1550966296 1729278287 2367795464 3255718763 3458556574 4023652427 6511437526 6917113148 8047304854 13022875052 13834226296 16094609708 26045750104 32189219416 44260176697 88520353394 148875139799 177040706788 297750279598 354081413576 595500559196 1191001118392 1637626537789 3275253075578 6550506151156 13101012302312