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20101103130020 = 22511617907189433
BaseRepresentation
bin1001001001000001001110…
…00111001001010110100100
32122011122110102211122210212
410210200213013021112210
510113314024400130040
6110430152545034552
74143154034320613
oct444404707112644
978148412748725
1020101103130020
11644a914756040
12230788a925a58
13b2a6ab4cba23
144d6c819d387a
1524cd20d73d65
hex1248271c95a4

20101103130020 has 96 divisors (see below), whose sum is σ = 46810881161856. Its totient is φ = 7188717081600.

The previous prime is 20101103130013. The next prime is 20101103130037. The reversal of 20101103130020 is 2003130110102.

It is a junction number, because it is equal to n+sod(n) for n = 20101103129977 and 20101103130004.

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, 106017224 + ... + 106206656.

It is an arithmetic number, because the mean of its divisors is an integer number (487613345436).

Almost surely, 220101103130020 is an apocalyptic number.

20101103130020 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 20101103130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23405440580928).

20101103130020 is an abundant number, since it is smaller than the sum of its proper divisors (26709778031836).

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

20101103130020 is a wasteful number, since it uses less digits than its factorization.

20101103130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197421 (or 197419 counting only the distinct ones).

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

Adding to 20101103130020 its reverse (2003130110102), we get a palindrome (22104233240122).

The spelling of 20101103130020 in words is "twenty trillion, one hundred one billion, one hundred three million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3355 6710 7907 13420 15814 31628 39535 79070 86977 158140 173954 189433 347908 378866 434885 482327 757732 869770 947165 964654 1739540 1894330 1929308 2083763 2411635 3788660 4167526 4823270 5305597 8335052 9646540 10418815 10611194 11555413 20837630 21222388 23110826 26527985 41675260 46221652 53055970 57777065 106111940 115554130 127109543 231108260 254219086 508438172 635547715 1271095430 1497846731 2542190860 2995693462 5991386924 7489233655 14978467310 16476314041 29956934620 32952628082 65905256164 82381570205 91368650591 164763140410 182737301182 329526280820 365474602364 456843252955 913686505910 1005055156501 1827373011820 2010110313002 4020220626004 5025275782505 10050551565010 20101103130020