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21020220000120 = 233511103915326669
BaseRepresentation
bin1001100011110001001101…
…01111110000011101111000
32202102111212021101100211010
410301320212233300131320
510223343402310000440
6112412320013233520
74266442434651405
oct461704657603570
982374767340733
1021020220000120
116774697215330
122435a391928a0
13b962766c4993
14529553c972ac
15266bb6823580
hex131e26bf0778

21020220000120 has 128 divisors (see below), whose sum is σ = 68859662976000. Its totient is φ = 5090906042880.

The previous prime is 21020220000097. The next prime is 21020220000127. The reversal of 21020220000120 is 2100002202012.

It is a super-3 number, since 3×210202200001203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21020220000096 and 21020220000105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020220000127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6291855 + ... + 9034814.

It is an arithmetic number, because the mean of its divisors is an integer number (537966117000).

Almost surely, 221020220000120 is an apocalyptic number.

21020220000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21020220000120 is an abundant number, since it is smaller than the sum of its proper divisors (47839442975880).

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

21020220000120 is a wasteful number, since it uses less digits than its factorization.

21020220000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15327733 (or 15327729 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21020220000120 its reverse (2100002202012), we get a palindrome (23120222202132).

The spelling of 21020220000120 in words is "twenty-one trillion, twenty billion, two hundred twenty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1039 1320 2078 3117 4156 5195 6234 8312 10390 11429 12468 15585 20780 22858 24936 31170 34287 41560 45716 57145 62340 68574 91432 114290 124680 137148 171435 228580 274296 342870 457160 685740 1371480 15326669 30653338 45980007 61306676 76633345 91960014 122613352 153266690 168593359 183920028 229900035 306533380 337186718 367840056 459800070 505780077 613066760 674373436 842966795 919600140 1011560154 1348746872 1685933590 1839200280 2023120308 2528900385 3371867180 4046240616 5057800770 6743734360 10115601540 15924409091 20231203080 31848818182 47773227273 63697636364 79622045455 95546454546 127395272728 159244090910 175168500001 191092909092 238866136365 318488181820 350337000002 382185818184 477732272730 525505500003 636976363640 700674000004 875842500005 955464545460 1051011000006 1401348000008 1751685000010 1910929090920 2102022000012 2627527500015 3503370000020 4204044000024 5255055000030 7006740000040 10510110000060 21020220000120