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21322101222 = 2323744372269
BaseRepresentation
bin10011110110111001…
…010111000111100110
32001000222021222011200
4103312321113013212
5322131424214342
613443434343330
71353244604262
oct236671270746
961028258150
1021322101222
119051852264
12417088ab46
13201a580556
141063b1b0a2
1584bd7494c
hex4f6e571e6

21322101222 has 48 divisors (see below), whose sum is σ = 47554238160. Its totient is φ = 6899570496.

The previous prime is 21322101197. The next prime is 21322101253. The reversal of 21322101222 is 22210122312.

21322101222 is a `hidden beast` number, since 21 + 322 + 101 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21322101195 and 21322101204.

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, 258904 + ... + 331172.

It is an arithmetic number, because the mean of its divisors is an integer number (990713295).

Almost surely, 221322101222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21322101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23777119080).

21322101222 is an abundant number, since it is smaller than the sum of its proper divisors (26232136938).

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

21322101222 is a wasteful number, since it uses less digits than its factorization.

21322101222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72757 (or 72754 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21322101222 its reverse (22210122312), we get a palindrome (43532223534).

The spelling of 21322101222 in words is "twenty-one billion, three hundred twenty-two million, one hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 443 666 886 1329 2658 3987 7974 16391 32782 49173 72269 98346 144538 147519 216807 295038 433614 650421 1300842 2673953 5347906 8021859 16043718 24065577 32015167 48131154 64030334 96045501 192091002 288136503 576273006 1184561179 2369122358 3553683537 7107367074 10661050611 21322101222