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21020012312220 = 22325733300187
BaseRepresentation
bin1001100011110000110100…
…10111011111011010011100
32202102111022210120201120200
410301320122113133122130
510223342441122442340
6112412243233543500
74266434333434335
oct461703227373234
982374283521520
1021020012312220
11677459aa61339
12243599b714b90
13b9624267832c
1452953447328c
15266ba349b330
hex131e1a5df69c

21020012312220 has 144 divisors (see below), whose sum is σ = 64646482424160. Its totient is φ = 5528532766464.

The previous prime is 21020012312213. The next prime is 21020012312231. The reversal of 21020012312220 is 2221321002012.

21020012312220 is a `hidden beast` number, since 2 + 10 + 200 + 1 + 231 + 2 + 220 = 666.

It is a super-2 number, since 2×210200123122202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21020012312193 and 21020012312202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69872967 + ... + 70173153.

Almost surely, 221020012312220 is an apocalyptic number.

21020012312220 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 21020012312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32323241212080).

21020012312220 is an abundant number, since it is smaller than the sum of its proper divisors (43626470111940).

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

21020012312220 is an equidigital number, since it uses as much as digits as its factorization.

21020012312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300421 (or 300270 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21020012312220 its reverse (2221321002012), we get a palindrome (23241333314232).

The spelling of 21020012312220 in words is "twenty-one trillion, twenty billion, twelve million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 5329 6570 10658 13140 15987 21316 26645 31974 47961 53290 63948 79935 95922 106580 159870 191844 239805 300187 319740 389017 479610 600374 778034 900561 959220 1167051 1200748 1500935 1556068 1801122 1945085 2334102 2701683 3001870 3501153 3602244 3890170 4502805 4668204 5403366 5835255 6003740 7002306 7780340 9005610 10806732 11670510 13508415 14004612 17505765 18011220 21913651 23341020 27016830 35011530 43827302 54033660 65740953 70023060 87654604 109568255 131481906 197222859 219136510 262963812 328704765 394445718 438273020 657409530 788891436 986114295 1314819060 1599696523 1972228590 3199393046 3944457180 4799089569 6398786092 7998482615 9598179138 14397268707 15996965230 19196358276 23995447845 28794537414 31993930460 47990895690 57589074828 71986343535 95981791380 116777846179 143972687070 233555692358 287945374140 350333538537 467111384716 583889230895 700667077074 1051000615611 1167778461790 1401334154148 1751667692685 2102001231222 2335556923580 3503335385370 4204002462444 5255003078055 7006670770740 10510006156110 21020012312220