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20111030230100 = 22522367235155511
BaseRepresentation
bin1001001001010011101101…
…10100000001110001010100
32122012121002021102121001012
410210221312310001301110
510113444342214330400
6110434514005151352
74143655035300425
oct444516664016124
978177067377035
1020111030230100
1164540492a9287
12230979b3bb558
13b2b601073744
144d75441bb64c
1524d202631d35
hex124a76d01c54

20111030230100 has 144 divisors (see below), whose sum is σ = 46238536544256. Its totient is φ = 7576448880000.

The previous prime is 20111030230037. The next prime is 20111030230129. The reversal of 20111030230100 is 103203011102.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 362261345 + ... + 362316855.

It is an arithmetic number, because the mean of its divisors is an integer number (321100948224).

Almost surely, 220111030230100 is an apocalyptic number.

20111030230100 is a gapful number since it is divisible by the number (20) 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 20111030230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23119268272128).

20111030230100 is an abundant number, since it is smaller than the sum of its proper divisors (26127506314156).

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

20111030230100 is a wasteful number, since it uses less digits than its factorization.

20111030230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57966 (or 57959 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 20111030230100 its reverse (103203011102), we get a palindrome (20214233241202).

The spelling of 20111030230100 in words is "twenty trillion, one hundred eleven billion, thirty million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 67 92 100 115 134 230 268 335 460 575 670 1150 1340 1541 1675 2300 2351 3082 3350 4702 6164 6700 7705 9404 11755 15410 23510 30820 38525 47020 54073 55511 58775 77050 108146 111022 117550 154100 157517 216292 222044 235100 270365 277555 315034 540730 555110 630068 787585 1081460 1110220 1276753 1351825 1387775 1575170 2553506 2703650 2775550 3150340 3622891 3719237 3937925 5107012 5407300 5551100 6383765 7245782 7438474 7875850 12767530 14491564 14876948 15751700 18114455 18596185 25535060 31918825 36228910 37192370 63837650 72457820 74384740 85542451 90572275 92980925 127675300 130506361 171084902 181144550 185961850 261012722 342169804 362289100 371923700 427712255 522025444 652531805 855424510 1305063610 1710849020 2138561275 2610127220 3001646303 3262659025 4277122550 6003292606 6525318050 8554245100 8743926187 12006585212 13050636100 15008231515 17487852374 30016463030 34975704748 43719630935 60032926060 75041157575 87439261870 150082315150 174878523740 201110302301 218598154675 300164630300 402220604602 437196309350 804441209204 874392618700 1005551511505 2011103023010 4022206046020 5027757557525 10055515115050 20111030230100