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20102212021120 = 275263119428541
BaseRepresentation
bin1001001001000011010010…
…01101001110101110000000
32122011202022201102011102121
410210201221031032232000
510113323312234133440
6110430455000254024
74143223360614355
oct444415115165600
978152281364377
1020102212021120
116450333693369
122307b3a171314
13b2a8271735c8
144d6d48da862c
1524cd883b434a
hex12486934eb80

20102212021120 has 64 divisors (see below), whose sum is σ = 48239576684640. Its totient is φ = 8010311034880.

The previous prime is 20102212021117. The next prime is 20102212021181. The reversal of 20102212021120 is 2112021220102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×201022120211202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20102212021094 and 20102212021103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59545951 + ... + 59882590.

Almost surely, 220102212021120 is an apocalyptic number.

20102212021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102212021120 is an abundant number, since it is smaller than the sum of its proper divisors (28137364663520).

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

20102212021120 is a wasteful number, since it uses less digits than its factorization.

20102212021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119428823 (or 119428811 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20102212021120 its reverse (2112021220102), we get a palindrome (22214233241222).

The spelling of 20102212021120 in words is "twenty trillion, one hundred two billion, two hundred twelve million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 263 320 526 640 1052 1315 2104 2630 4208 5260 8416 10520 16832 21040 33664 42080 84160 168320 119428541 238857082 477714164 597142705 955428328 1194285410 1910856656 2388570820 3821713312 4777141640 7643426624 9554283280 15286853248 19108566560 31409706283 38217133120 62819412566 76434266240 125638825132 157048531415 251277650264 314097062830 502555300528 628194125660 1005110601056 1256388251320 2010221202112 2512776502640 4020442404224 5025553005280 10051106010560 20102212021120