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21101001210 = 23253740915493
BaseRepresentation
bin10011101001101101…
…111011100111111010
32000110120020220222100
4103221231323213322
5321203324014320
613405455404230
71344621356652
oct235155734772
960416226870
1021101001210
118a48a68583
12410a823676
131cb3819243
141042605362
1583774d790
hex4e9b7b9fa

21101001210 has 96 divisors (see below), whose sum is σ = 56486785680. Its totient is φ = 5461115904.

The previous prime is 21101001197. The next prime is 21101001253. The reversal of 21101001210 is 1210010112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12973437801 + 8127563409 = 113901^2 + 90153^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21101001192 and 21101001201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1354224 + ... + 1369716.

Almost surely, 221101001210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28243392840).

21101001210 is an abundant number, since it is smaller than the sum of its proper divisors (35385784470).

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

21101001210 is a wasteful number, since it uses less digits than its factorization.

21101001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15952 (or 15949 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21101001210 its reverse (1210010112), we get a palindrome (22311011322).

The spelling of 21101001210 in words is "twenty-one billion, one hundred one million, one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 409 555 666 818 1110 1227 1665 2045 2454 3330 3681 4090 6135 7362 12270 15133 15493 18405 30266 30986 36810 45399 46479 75665 77465 90798 92958 136197 139437 151330 154930 226995 232395 272394 278874 453990 464790 573241 680985 697185 1146482 1361970 1394370 1719723 2866205 3439446 5159169 5732410 6336637 8598615 10318338 12673274 17197230 19009911 25795845 31683185 38019822 51591690 57029733 63366370 95049555 114059466 190099110 234455569 285148665 468911138 570297330 703366707 1172277845 1406733414 2110100121 2344555690 3516833535 4220200242 7033667070 10550500605 21101001210