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21101003220 = 223511178717891
BaseRepresentation
bin10011101001101101…
…111100000111010100
32000110120021000201210
4103221231330013110
5321203324100340
613405455421420
71344621365553
oct235155740724
960416230653
1021101003220
118a48a6a040
12410a824870
131cb381a12b
141042605d9a
1583774e180
hex4e9b7c1d4

21101003220 has 96 divisors (see below), whose sum is σ = 64493646336. Its totient is φ = 5112246400.

The previous prime is 21101003207. The next prime is 21101003237. The reversal of 21101003220 is 2230010112.

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 = 21101003196 and 21101003205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1170475 + ... + 1188365.

It is an arithmetic number, because the mean of its divisors is an integer number (671808816).

Almost surely, 221101003220 is an apocalyptic number.

21101003220 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 21101003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32246823168).

21101003220 is an abundant number, since it is smaller than the sum of its proper divisors (43392643116).

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

21101003220 is a wasteful number, since it uses less digits than its factorization.

21101003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19701 (or 19699 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21101003220 its reverse (2230010112), we get a palindrome (23331013332).

The spelling of 21101003220 in words is "twenty-one billion, one hundred one million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1787 3574 5361 7148 8935 10722 17870 17891 19657 21444 26805 35740 35782 39314 53610 53673 58971 71564 78628 89455 98285 107220 107346 117942 178910 196570 196801 214692 235884 268365 294855 357820 393140 393602 536730 589710 590403 787204 984005 1073460 1179420 1180806 1968010 2361612 2952015 3936020 5904030 11808060 31971217 63942434 95913651 127884868 159856085 191827302 319712170 351683387 383654604 479568255 639424340 703366774 959136510 1055050161 1406733548 1758416935 1918273020 2110100322 3516833870 4220200644 5275250805 7033667740 10550501610 21101003220