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21222122100 = 22352677104491
BaseRepresentation
bin10011110000111011…
…111110001001110100
32000210000011111121020
4103300323332021310
5321430330401400
613425503421140
71350622030044
oct236073761164
960700144536
1021222122100
119000375493
1241432b47b0
1320029463ca
141054733724
158431c62a0
hex4f0efe274

21222122100 has 72 divisors (see below), whose sum is σ = 61493959968. Its totient is φ = 5650819200.

The previous prime is 21222122099. The next prime is 21222122191. The reversal of 21222122100 is 122122212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21222122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150855 + ... + 255345.

Almost surely, 221222122100 is an apocalyptic number.

21222122100 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 21222122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30746979984).

21222122100 is an abundant number, since it is smaller than the sum of its proper divisors (40271837868).

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

21222122100 is a wasteful number, since it uses less digits than its factorization.

21222122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105185 (or 105178 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21222122100 its reverse (122122212), we get a palindrome (21344244312).

The spelling of 21222122100 in words is "twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 677 1354 2031 2708 3385 4062 6770 8124 10155 13540 16925 20310 33850 40620 50775 67700 101550 104491 203100 208982 313473 417964 522455 626946 1044910 1253892 1567365 2089820 2612275 3134730 5224550 6269460 7836825 10449100 15673650 31347300 70740407 141480814 212221221 282961628 353702035 424442442 707404070 848884884 1061106105 1414808140 1768510175 2122212210 3537020350 4244424420 5305530525 7074040700 10611061050 21222122100