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20003312111310 = 2345114315208911
BaseRepresentation
bin1001000110001011000100…
…10100000000111011001110
32121211022001012210012020000
410203011202110000323032
510110213240400030220
6110313221132105130
74133122502346033
oct443054224007316
977738035705200
1020003312111310
1164123a2224310
1222b09389051a6
13b213c5546908
144d22460ab38a
1524a4eaa2c390
hex123162500ece

20003312111310 has 160 divisors (see below), whose sum is σ = 58812533581824. Its totient is φ = 4838035608000.

The previous prime is 20003312111231. The next prime is 20003312111323. The reversal of 20003312111310 is 1311121330002.

20003312111310 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 331 + 21 + 1 + 1 + 310 = 666.

It is a super-2 number, since 2×200033121113102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1235755 + ... + 6444665.

Almost surely, 220003312111310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20003312111310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29406266790912).

20003312111310 is an abundant number, since it is smaller than the sum of its proper divisors (38809221470514).

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

20003312111310 is a wasteful number, since it uses less digits than its factorization.

20003312111310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5209372 (or 5209363 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20003312111310 its reverse (1311121330002), we get a palindrome (21314433441312).

The spelling of 20003312111310 in words is "twenty trillion, three billion, three hundred twelve million, one hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 431 495 594 810 862 891 990 1293 1485 1782 2155 2586 2970 3879 4310 4455 4741 6465 7758 8910 9482 11637 12930 14223 19395 23274 23705 28446 34911 38790 42669 47410 58185 69822 71115 85338 116370 128007 142230 174555 213345 256014 349110 384021 426690 640035 768042 1280070 1920105 3840210 5208911 10417822 15626733 26044555 31253466 46880199 52089110 57298021 78133665 93760398 114596042 140640597 156267330 171894063 234400995 281281194 286490105 343788126 421921791 468801990 515682189 572980210 703202985 843843582 859470315 1031364378 1406405970 1547046567 1718940630 2109608955 2245040641 2578410945 3094093134 4219217910 4490081282 4641139701 5156821890 6735121923 7735232835 9282279402 11225203205 13470243846 15470465670 20205365769 22450406410 23205698505 24695447051 33675609615 40410731538 46411397010 49390894102 60616097307 67351219230 74086341153 101026828845 121232194614 123477235255 148172682306 181848291921 202053657690 222259023459 246954470510 303080486535 363696583842 370431705765 444518046918 606160973070 666777070377 740863411530 909241459605 1111295117295 1333554140754 1818482919210 2000331211131 2222590234590 3333885351885 4000662422262 6667770703770 10001656055655 20003312111310