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21220300100 = 22521938928711
BaseRepresentation
bin10011110000110101…
…000001010101000100
32000202212201221021202
4103300311001111010
5321424344100400
613425400402032
71350600401066
oct236065012504
960685657252
1021220300100
118aaa3405aa
124142776318
132002458cbc
1410543bb736
15842e664d5
hex4f0d41544

21220300100 has 72 divisors (see below), whose sum is σ = 48597931200. Its totient is φ = 8020425600.

The previous prime is 21220300067. The next prime is 21220300103. The reversal of 21220300100 is 100302212.

It is a happy number.

It is a super-2 number, since 2×212203001002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21220300103) 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, 724745 + ... + 753455.

Almost surely, 221220300100 is an apocalyptic number.

21220300100 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 21220300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24298965600).

21220300100 is an abundant number, since it is smaller than the sum of its proper divisors (27377631100).

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

21220300100 is a wasteful number, since it uses less digits than its factorization.

21220300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29133 (or 29126 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 21220300100 its reverse (100302212), we get a palindrome (21320602312).

The spelling of 21220300100 in words is "twenty-one billion, two hundred twenty million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 389 475 778 950 1556 1900 1945 3890 7391 7780 9725 14782 19450 28711 29564 36955 38900 57422 73910 114844 143555 147820 184775 287110 369550 545509 574220 717775 739100 1091018 1435550 2182036 2727545 2871100 5455090 10910180 11168579 13637725 22337158 27275450 44674316 54550900 55842895 111685790 212203001 223371580 279214475 424406002 558428950 848812004 1061015005 1116857900 2122030010 4244060020 5305075025 10610150050 21220300100