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21213231111020 = 22513251191226041
BaseRepresentation
bin1001101001011000101110…
…00110101101101101101100
32210002222001112211200211002
410310230113012231231230
510240024144131023040
6113041120203215432
74316414433223424
oct464542706555554
983088045750732
1021213231111020
116839531a30723
122467324217578
13bab525acb300
14534a23ab1484
1526bc11425a15
hex134b171adb6c

21213231111020 has 72 divisors (see below), whose sum is σ = 48247597117440. Its totient is φ = 7831041154560.

The previous prime is 21213231111019. The next prime is 21213231111029. The reversal of 21213231111020 is 2011113231212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21213231110983 and 21213231111001.

It is not an unprimeable number, because it can be changed into a prime (21213231111029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16689200 + ... + 17915240.

It is an arithmetic number, because the mean of its divisors is an integer number (670105515520).

Almost surely, 221213231111020 is an apocalyptic number.

21213231111020 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 21213231111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24123798558720).

21213231111020 is an abundant number, since it is smaller than the sum of its proper divisors (27034366006420).

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

21213231111020 is a wasteful number, since it uses less digits than its factorization.

21213231111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231195 (or 1231180 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 21213231111020 its reverse (2011113231212), we get a palindrome (23224344342232).

The spelling of 21213231111020 in words is "twenty-one trillion, two hundred thirteen billion, two hundred thirty-one million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 5119 10238 20476 25595 51190 66547 102380 133094 266188 332735 665470 865111 1226041 1330940 1730222 2452082 3460444 4325555 4904164 6130205 8651110 12260410 15938533 17302220 24520820 31877066 63754132 79692665 159385330 207200929 318770660 414401858 828803716 1036004645 2072009290 4144018580 6276103879 12552207758 25104415516 31380519395 62761038790 81589350427 125522077580 163178700854 326357401708 407946752135 815893504270 1060661555551 1631787008540 2121323111102 4242646222204 5303307777755 10606615555510 21213231111020