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20310123300100 = 225217194991260113
BaseRepresentation
bin1001001111000110100011…
…01011110100010100000100
32122220121222102011110110121
410213203101223310110010
510130230113031100400
6111110201500431324
74164233534413564
oct447432153642404
978817872143417
1020310123300100
116520525134557
1223402a3248544
13b4430c510b3a
1450302da5ada4
152534a615b21a
hex1278d1af4504

20310123300100 has 144 divisors (see below), whose sum is σ = 49220052840000. Its totient is φ = 7229212139520.

The previous prime is 20310123300031. The next prime is 20310123300109. The reversal of 20310123300100 is 100332101302.

It is a super-2 number, since 2×203101233001002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20310123300109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15487644 + ... + 16747756.

It is an arithmetic number, because the mean of its divisors is an integer number (341805922500).

Almost surely, 220310123300100 is an apocalyptic number.

20310123300100 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 20310123300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24610026420000).

20310123300100 is an abundant number, since it is smaller than the sum of its proper divisors (28909929539900).

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

20310123300100 is a wasteful number, since it uses less digits than its factorization.

20310123300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260662 (or 1260655 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 20310123300100 its reverse (100332101302), we get a palindrome (20410455401402).

The spelling of 20310123300100 in words is "twenty trillion, three hundred ten billion, one hundred twenty-three million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 499 646 850 950 998 1292 1615 1700 1900 1996 2495 3230 4990 6460 8075 8483 9481 9980 12475 16150 16966 18962 24950 32300 33932 37924 42415 47405 49900 84830 94810 161177 169660 189620 212075 237025 322354 424150 474050 644708 805885 848300 948100 1260113 1611770 2520226 3223540 4029425 5040452 6300565 8058850 12601130 16117700 21421921 23942147 25202260 31502825 42843842 47884294 63005650 85687684 95768588 107109605 119710735 126011300 214219210 239421470 407016499 428438420 478842940 535548025 598553675 628796387 814032998 1071096050 1197107350 1257592774 1628065996 2035082495 2142192100 2394214700 2515185548 3143981935 4070164990 6287963870 8140329980 10175412475 10689538579 11947131353 12575927740 15719909675 20350824950 21379077158 23894262706 31439819350 40701649900 42758154316 47788525412 53447692895 59735656765 62879638700 106895385790 119471313530 203101233001 213790771580 238942627060 267238464475 298678283825 406202466002 534476928950 597356567650 812404932004 1015506165005 1068953857900 1194713135300 2031012330010 4062024660020 5077530825025 10155061650050 20310123300100