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20111210101220 = 2257473371906679
BaseRepresentation
bin1001001001010100000011…
…00010001011100111100100
32122012121112210212222211112
410210222001202023213210
510114000224241214340
6110434543512324152
74143662351211140
oct444520142134744
978177483788745
1020111210101220
1164541308930a7
12230982b6a3658
13b2b62c400a64
144d7560040220
1524d213312065
hex124a8188b9e4

20111210101220 has 96 divisors (see below), whose sum is σ = 49308536954880. Its totient is φ = 6746554730880.

The previous prime is 20111210101217. The next prime is 20111210101231. The reversal of 20111210101220 is 2210101211102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20111210101195 and 20111210101204.

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, 21727841 + ... + 22634519.

It is an arithmetic number, because the mean of its divisors is an integer number (513630593280).

Almost surely, 220111210101220 is an apocalyptic number.

20111210101220 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 20111210101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24654268477440).

20111210101220 is an abundant number, since it is smaller than the sum of its proper divisors (29197326853660).

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

20111210101220 is a wasteful number, since it uses less digits than its factorization.

20111210101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910113 (or 910111 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20111210101220 its reverse (2210101211102), we get a palindrome (22321311312322).

The spelling of 20111210101220 in words is "twenty trillion, one hundred eleven billion, two hundred ten million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3290 3371 6580 6742 13484 16855 23597 33710 47194 67420 94388 117985 158437 235970 316874 471940 633748 792185 906679 1109059 1584370 1813358 2218118 3168740 3626716 4436236 4533395 5545295 6346753 9066790 11090590 12693506 18133580 22181180 25387012 31733765 42613913 63467530 85227826 126935060 170455652 213069565 298297391 426139130 596594782 852278260 1193189564 1491486955 2982973910 3056414909 5965947820 6112829818 12225659636 15282074545 21394904363 30564149090 42789808726 61128298180 85579617452 106974521815 143651500723 213949043630 287303001446 427898087260 574606002892 718257503615 1005560505061 1436515007230 2011121010122 2873030014460 4022242020244 5027802525305 10055605050610 20111210101220