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20010210100020 = 223257131121229917
BaseRepresentation
bin1001000110010111111010…
…11101110000001100110100
32121211221211221120022211100
410203023331131300030310
510110321402241200040
6110320321424010100
74133455442315220
oct443137535601464
977757757508740
1020010210100020
116415311a33328
1222b2142a60930
13b21c5468373a
144d26dc271780
1524a7a13e5b30
hex1232fd770334

20010210100020 has 144 divisors (see below), whose sum is σ = 69898261200768. Its totient is φ = 4538848055040.

The previous prime is 20010210099953. The next prime is 20010210100021. The reversal of 20010210100020 is 2000101201002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20010210099975 and 20010210100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010210100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60449899 + ... + 60780018.

It is an arithmetic number, because the mean of its divisors is an integer number (485404591672).

Almost surely, 220010210100020 is an apocalyptic number.

20010210100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010210100020 is an abundant number, since it is smaller than the sum of its proper divisors (49888051100748).

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

20010210100020 is a wasteful number, since it uses less digits than its factorization.

20010210100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121230070 (or 121230065 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20010210100020 its reverse (2000101201002), we get a palindrome (22010311301022).

The spelling of 20010210100020 in words is "twenty trillion, ten billion, two hundred ten million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 131 140 180 210 252 262 315 393 420 524 630 655 786 917 1179 1260 1310 1572 1834 1965 2358 2620 2751 3668 3930 4585 4716 5502 5895 7860 8253 9170 11004 11790 13755 16506 18340 23580 27510 33012 41265 55020 82530 165060 121229917 242459834 363689751 484919668 606149585 727379502 848609419 1091069253 1212299170 1454759004 1697218838 1818448755 2182138506 2424598340 2545828257 3394437676 3636897510 4243047095 4364277012 5091656514 5455346265 7273795020 7637484771 8486094190 10183313028 10910692530 12729141285 15274969542 15881119127 16972188380 21821385060 25458282570 30549939084 31762238254 38187423855 47643357381 50916565140 63524476508 76374847710 79405595635 95286714762 111167833889 142930072143 152749695420 158811191270 190573429524 222335667778 238216786905 285860144286 317622382540 333503501667 444671335556 476433573810 555839169445 571720288572 667007003334 714650360715 952867147620 1000510505001 1111678338890 1334014006668 1429300721430 1667517508335 2001021010002 2223356677780 2858601442860 3335035016670 4002042020004 5002552525005 6670070033340 10005105050010 20010210100020