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21211101032 = 23112311639011
BaseRepresentation
bin10011110000010001…
…111011011101101000
32000202020102120112112
4103300101323131220
5321420020213112
613424431301452
71350426245462
oct236021733550
960666376475
1021211101032
118aa5128170
12413b67a888
132000587b74
1410530a5132
1584224aa22
hex4f047b768

21211101032 has 64 divisors (see below), whose sum is σ = 45316661760. Its totient is φ = 9213265600.

The previous prime is 21211101029. The next prime is 21211101083. The reversal of 21211101032 is 23010111212.

It is a super-2 number, since 2×212111010322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21211100998 and 21211101016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2349407 + ... + 2358417.

It is an arithmetic number, because the mean of its divisors is an integer number (708072840).

Almost surely, 221211101032 is an apocalyptic number.

21211101032 is a gapful number since it is divisible by the number (22) 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 21211101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22658330880).

21211101032 is an abundant number, since it is smaller than the sum of its proper divisors (24105560728).

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

21211101032 is a wasteful number, since it uses less digits than its factorization.

21211101032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10214 (or 10210 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 21211101032 its reverse (23010111212), we get a palindrome (44221212244).

The spelling of 21211101032 in words is "twenty-one billion, two hundred eleven million, one hundred one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 1163 2024 2326 4652 9011 9304 12793 18022 25586 26749 36044 51172 53498 72088 99121 102344 106996 198242 207253 213992 294239 396484 414506 588478 792968 829012 1176956 1658024 2279783 2353912 4559566 9119132 10479793 18238264 20959586 41919172 83838344 115277723 230555446 241035239 461110892 482070478 922221784 964140956 1928281912 2651387629 5302775258 10605550516 21211101032